The time for one cycle of q p/sjxj+txa z-3r71 ikhz (o/a periodic process is called the

  For a periodic process, the number rxvag 6tjn5/ 2of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is )bsm 1d3ck8)y) xgrlb called )d8bxr1ly)kbm s cg 3)the

  A mass on a spring undergoes SHM. When the mass is at its maximum dis9n89eu pwon +qyzmknab5k0)+ csu9 +splacement from equilibrium, its instantaz s9cwkun9n+)9suk+ 0b +a8 nempyo5qneous velocity

  A mass on a spring undergoes SHM. When the mzrhs *-k9fq/kwc9 w,5 .m jtf1bd(tmvass passes through the equilibrium position, its instantaneous velocitkvfd, 9 -m1 mbtc *5z kr/j9s.whfq(wty

  A mass on a spring undergoes SHM. Whev8ltf: e yxtj6uwo0si7i 9h jv*ejnj4w3j06)n the mass is at maximum displacement from equilibrium, its instantaneous ac9itofy4v:i3e hjlv0 jx j0suj e*67twj8w6 n)celeration

  A mass is attached to a vertical sprinrbv1v7xm3j gb*lx h7,av;gc 8dw a/n6 g and bobs up and down between points A and B. 68a b/*xh7lvjnvcbgm w,1x argd v;73 Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs d r;d .oz6/0 fx9.gf2exuieklup and down between points A and B. Where is the mass located when its re .l fk0 z6d.9fdeg /u2oxxi;kinetic energy is a maximum?

  A mass is attached to a bgnx2kf/doa dnn7nq0.+oyf2 ;/ * gsn vertical spring and bobs up and down between points A and B. Wherfnbosg f/n /n7;qngo a2x0y*.2 n dk+de is the mass located when its potential energy is a minimum?

  A mass is attached to a vertyo:sccz8.k. /h; h2f; uarxnqical spring and bobs up and down between points A and B. Where is the mash y .a/okc;qxch82fn; zu:.srs located when its potential energy is a maximum?

  Doubling only the amplitude of a vi5fcn dvvzz shm8n/2/bm3)x+ibrating mass-and-spring system produces what effect on the system's mechanical ene3i 2dc h/x+zmvsnnm)fvbz58 /rgy?

  Doubling only the mas hu)9au vmsgf80n s6)hs of a vibrating mass-and-spring system produces what effect on the system's mechs a6u8m) h) 9ngushvf0anical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prox6pwoh 5ah7r ) c8fw5tduces what effect on thw hah5twp5ro fc76 8)xe system's mechanical energy?

  A mass oscillates on the end of a spring, bk2d;fgckc-4w6ezr.q d;q u l /ligu- ;oth on Earth and on the Moon. Where is the period thedci urq/ zdugf2l.l ;c;6q kw-k; -4eg greatest?

  Increasing the spring constant k of a mass-and-spring system causes what g y)ffft(i7b e b.i66gkind of change in the resonant frequency of the f6b.i) yti e(fb7gf6g system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chanr w+ ),:/fk.5x*d zmxyklg alx.uf(tsge in t*zw ga.r,x ufk kdftlm /y(:l5 +x)xs.he resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring xs 0r()u j5jjyavzr+ 1system causes what kind of change in the resonant frequency of the system? (Assume nvy (uj+5a rrxs10j zj)o other changes in the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M tgu3 gouwjz,0t 9y( *oho.k-battached to a weightless string of length L. For this system, when undergoing small oscillatio*uto9ky-t.zb( u w3oh g0g,jons

  When the mass of a simple pendulum is tripl/ an75mh q4au3 dwur8wed, the time required for one complete 8rh5wnuaaud43 q/m w7vibration

  Both pendulum A and B are 3.0 m long. Ther:;*v*lgg6,hatt o/8th a nqio8ows( period of A is T. Pendulum A is twice as heavy as pendulum B. Whatih 6qga:o(t v,wast*r oo8t8l/gn ; *h is the period of B?

  When the length of a s3+ cdvhf/ 7lhwimple pendulum is tripled, the time for one complete vibration incre3/hch+ 7fwldvases by a factor of

  What happens to a simple pendulum's frequency if both its length ae1h xgiys3(z+j -izw,nd mass are increa1w(zx e ,ijg +y-is3zhsed?

  Simple pendulum A swings back and forth at twice the frequency of simple pengw *6ci6tl9v8v farv7 dulum B. Which stateme fwrt9 g66avli 8v*7cvnt is correct?

  If you take a given pendulum to the Moon, -v5 0qdop-dty where the acceleration of gravity is less than on Earth, the resonant fre-ptd-y ovq05 dquency of the pendulum will

  Curve A in Fig. 11-1 represents aocek*q*rn f) 7q;hu-i5d7vv

  Curve B in Fig. 11-1 represents 0-+e ng;dtaxh

  Curve C in Fig. 11-1 repres:t6kdi7t 0d.cc b5 osyents

  For a forced vibration, the amplitude of vibration is found to depend orl)i ka;q0gw*hy9 )dun the

  In a wave, the maximum dy sr d,d79wgx42cm i:g3-xlvc isplacement of points of the wave from equilibrium is called th2-4ydigr:dv,s7 w 9mlxcx3c ge wave's

  The distance between successive crests on a wave is called tml 83iayk5e7hgwl /k6he wave's

  The number of crests of a wave passing a point per unit tiq)onz 9-18hz: cjkiykme is called the wave'k-yzioq :kz c)j8 1n9hs

  For a wave, the frequencyhuoa..-x1szkg w1t2a times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance tfbc.- r 1wi-ymuea-(em(u4qbetween successive crests if the speed remains constyub( -ce1u qmtf4 m.ire (w-a-ant?

  A wave moves on a string with wavelength l and frequency f. A second wa q1mk 9vv5r1jgmg+kf .ve on the svjg+11m5 qrfk mvk.g9ame string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wc4 n3 fij)cjis9h6rcr xn w1:(ave on a string of length L, mass M, and tension T. A standing wave is set up. Which c 3:c 9i4incrn6hj fr)s(1jxwof the following is true?

  A string of mass m and length L is under tension T. The speed of a wavhjv oxpf00a 8uwyv7 d)ck n*0)e in the stric*wuh 0a 0 vyo7 vp0x8)df)knjng is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L7 a-y u1 zqzuii;g:8s. m62 e3jtmfexiwfg9:q is under tension T. The speed of a wave in the string is v. What will be the spuz- aqxgie:z9 w .12mtiy umfs 3e6g;8fqi:7j eed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wavue/nb/bdg 7/dqfz /9wdqktj+ v4(k e/e in the string is v. What will be the se/4v9j/7+wbed/d u/f kg q qnt/(zdbkpeed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels :mj;a4ne94ylrblrf7*urw8 r through the Earth, the relative motion between the S wave andjf: 9u8n4a4br7er;mll*wy r r the particles is

  In seismology, the P wave is a longitudino8 8/a u6dp /mty9rt)e,wcepj al wave. As a P wave travels through the Earth, the reo8wmt9j /,c6ya/eu p )8 dptrelative motion between the P wave and the particles is

  The intensity of a waved q1hs sj5f* h1l y(.e34rkryrjp43bh is

  A wave pulse traveling to the right along a thin cord reaches a discontio n gdv)wyg:4 qz. rl3n;/p9rvnuity where the rope becom /g4v3 l.p 9gwonqzd:vr);ry nes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive z15 ul aow 1v(y;aq;yy vj*bi; *hhlw2amplitudes pass each other on a string, one is traveling toward ti1 v(;a2;qy1wj*u v;hy *yl oha5lzwbhe right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a stm1qlmc n e3jm 9e:ah;ngk:8/sc8v l/o ring. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of spac8 o3n8sm vq;cmj/egec:n 1k hllm/9a :e at the same time

  Resonance in a system, such as a stringq7w4 51 0m)ny x ivwud2l8qp3qm7l xd1kns+oo fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequencl2 drgsku h9a0la1dr: ucg8, 2y of that string will incg lca0a 18,2rdu:ghs9ukdr 2l rease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a masvctv3t9:k epwpku5)+s of 0.600 kg iu5vkep k c3v) 9w+tp:ts suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along //lgpx gde(vw3b-ps j .d4kft(ym/ 9l a horizontal, frictionless surface. The sprin//.vt(p /jd9gx4 dm w-ek3sglbpyl(f g is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of sprif.ls pjgwtsf 8-;2v7px4dxp7ng constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It tak gvj4s;-pwf p8s. 7d72plxxftes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constb(i 1p3eijif(3 pk )/7zs aj)zz-ielw2 8ccqtant 60 N/m along a horizontal, frictionless surface. The spring isp3(zc) /ie38(kj7zjbiqi cti al )1 ps2fz-we initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 7a n: r.fa*fxg10 complete oscillations in 5.0 s. What is the p* :fr.xgfa7aneriod?

  A mass vibrates back and forth from the free end of aneggk)zkpj1oig7ez*8 bmlx57:bv +-g ideal spring of spring constant 20 N/m with an amplitude of 0.30 kg: z7-o5+* )zbkg7vg x1geilbmjep8 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hori;wyg5 r8,oe7p 5 knqvyzontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrep;5vrkwn,g y7 y q8o5ium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this timerot2 (s6g/j hx) kb natevc3bx,(y5+c7 ofe)t. The mass is cut in half, and the system is again set in motion wie )xkno,gjt(ebcfy ba+5hst7xv 3/)c(6to2rth amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along an xgu-tl zdmgdv 60x9ock 609, horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of g l6k90vxd cd9 ng t0oxu,6-zmvibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alool y k2t: n/q-4vzbivic5pv3;ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/l5yc/ 23 k:tv;i-z qovbn4pivs at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end7ugk8 3d7fyry*/nqy *,mu,dg7 m wcrz of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this7 gn 7,*gmwm/7r,cd k ydyfuyz3q8u *r system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring v g fmycv243 i*wd+xn;t b:d:pconstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical ener:tw4f;v+i b:vpc g3d2 *dm nxygy of this system?

  A mass vibrates back and forth f ozz13er 4oa)qb1) f )v3vxvna:z 7nzarom the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy 1n:a zo)3 z43b7 qrev vv1z a)nfxoaz)of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm)ns x:edq9vlfpp 8+kkc9,c 0i from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequenfk p89clpq) ixdks ,:0v9nec+cy would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attnpghxf(v s6 61ached to a spring of spring constant 10 N/m. The object is disv61fh n(6x pgsplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. n0r01/vb 0krltvbo qbgu8 s; 0The object is displaced btlrk0sb/o u001brv 8qn g;0 vby
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring constant 18 N/m, displarvei73zu .*s4lf9 ehmp r;)keced slightly from its equilibrium position, and released. Wreuz9 e r*vp7k)ei43lf ;msh .hat is the frequency of its vibration?

  A mass is attached to a sjiio sn,e..sd do9j(en 1 p71ipring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibriumiinpe..79s(o1s1, ddnei j j o and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sprnj+ylv+9xym 0 ings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare t l9nj+v0y+ mxyo the maximum speed of B?

  A 0.30-kg mass is suspended onh1t 6ywck +ar0 x2xd5n a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from restath2wk xcd605yx1+ rn . Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In efhp6y(n37 -brzx 6/p e4zu)hnw2xb svquilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate x(26n nspzrhby fup)hz-e /xb463v7 wthe total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equixmtxdmh +-19oz* l eykhnqt 56c+ 5zb8librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write dow lhez- qm6yk5h1nmdx+x*89 5cz +tbo tn its equation of motion.

  An object in simple harmonic motion obeys the following w93tjd9c8av .ebv:; eyoz3ah y;/x sxposition versus time equatioa3hosa:.zc; e txedv 9x/v3yy;bj 98wn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equo0t zm u9k(e(n0toz9ukm ne( (ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posit1oq i4v2mz 4t9:xaya fion versus time equatio2z4avo a4:im9qt1 fxyn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execu46;6ikabr w hites simple harmonic motion accordb6 4ai6hi;rw king to the equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force constant of 20.0 N/m oscillat-mnn-uw r*ypgq(hy,np-;e ,gz,xk (u es on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, t e w*qgm--rnnykz(hu, -uyp(; ,g,xnphe spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swin* crf1r2 ;zun0ce 8p;mtzrvo0gs in 8.0 s. (a) What are its frequency and period on z0 n* r 20u8zf;;pvomr1re cctEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earthz5zloy)ra- tr*:qyb,ii ylis64 5 y b8eb0,ya?

  A pendulum has a period of 2.0 s on Earth. md dj;c/1gw +nojp) w27 xfn9xWhat is its length?

  The pendulum of a grandfather clock is 1.0 m long.sc+ i yi6fioo;/ms anm l0gio.4u 2.8r What is its period on the Eart f 6 m0lomi rssiio+gy.8ui/4a 2o;c.nh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o9 /*)eb;3jz)l9lvp ;oekcrmm2 zxm xnn the Moon where the acceleration dx)2rm9eom mc; /k3n *xvlplzje ;9 zb)ue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sd+t65 k+ dt(ri3vkrcgpherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency vid+d35k( +tg6ktc rrof 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial anguawh ;d6p 84e3gzdn qp6lar displacement of 8.0e. It oscillates with a pe p6dhgd n ;pewzq3a864riod of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given timeh6i7z 8ks 7swe. The frequency of the wave is 120 Hz876zs sk7 hwie. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a 9gcks98;l (fm 7 vvohygiven time. The frequency of the wave is 120 Hz. What is the wavelengm v9g;9h f(olksyc7 8vth?

  Figure 11-2 is a "snehd1w7 w7c/vzk6n3zg apshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spv3zwzhe 7gnwc 7 d/16keed?

  What is the frequency of a wave which has a period of 6.0c. zd )f5 lkrlci(o1gnjn1 u 419xvlf)0 ms?

  What is the period of a wave with a frequency of 1f .31j w7 f)5klznpoqy(djb2i500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengthab/ +tvqm 3 a),o0rwud of 3.0t0/av)o,m r+qd 3uwab m?

  What is the velocity of a wave that has a2xl;jyvd8ngl j)s, , x wavelength of 3.0 m and a frequency of ,js 8y)x ndxjv l2g;,l12 Hz?

  What is the frequency of a 2.5 uw7o)u)uh ot2 ksp .r*m wave traveling at 1400 m/s?

  A piano string of linear mass density 0. z;pvi:ksp q1.h,e3qmk *h5lj0050 kg/m is under a tension of 1350 N. What is the wave speed?: mq1*he q3izhp 5l.,;jkksp v

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thcq7u0ut iezw d:-a 5s(e velocity of propagation of transverse waves along the q w:u ice(s-7 ad5u0tzstring?

A wave whose wavelength is 0.500 m is travp l*1ot9)r0 nagg/.1x crbhfceling down a 500 m long wire whose total c)1g.b0o/ rtcrp ln19*x g hafmass is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wave on a 2.0-m lonw828tsjd0lplynj 95 zu d e:.px(9w ikg string fixed at both ends is 200 m/s. Which one of the fo dx2(i uljp.:k5w8zljdt90 8yn e p9swllowing is not a resonant frequency of this string?

  If a guitar string has a fundamental fr9y 9m 9:oxjvh(ned:rvequency of 500 Hz, which one of the following frequencies can set the string into resonan9j 9r9(v:mh :odnexvyt vibration?

  A stretched string is f,dbux3 a oj)cxf44sath)*, xobserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What dri)x4 xha fsf)dbc ,u3 ,*jxat4oving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency oz8tcy d)r ecw;x 8l(p *f(yrn4v 1ot9lf 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4veyr ;tz1 xly48 nt(w)lc* (dp cfo9r8 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should itsy8k p+ sy)ppt.1x9vbq * ec9wq length be if its fundamental resona pxqbpq*c9tv).kpey9 1y8 w+s nce frequency is 220 Hz?

  Find the first three ha +z2ipq0n5u7wl5v oyx8 i/(f )qzlrehrmonics of a string of linear mass density 2.00 g/m and length 0.600 m whqrwl+7xo ( i 2e5qiuhl5)8zf/zyn0pv en it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibmbylii z0pq2s* 0 .yww)5:fre rates at a frequency of 85 Hz, a standing wave with five loops i2:isf)pym0*zeby r0lq i 5.wws formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.