The time for one cycle silphl(g oi x1h*z 6 7zzd.(g9of a periodic process is called the

  For a periodic process, the number of cycles per uo5kgp7 g5,dmhb-nizoo)*.g bi 4+ t oonit time is called the

  For vibrational motion, the maximum displacement from the equilibrnuf ldr k9 /a c6ahs;:h(y+hm0ium point is ca(n 6;u/0:cfalrkhh9mhyad + s lled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacem3p:y4e8hqy j gent from equilibrium, its in qjeyp3g 4y8h:stantaneous velocity

  A mass on a spring undergoes Sx4rkg(p 28rytHM. When the mass passes through the equilibrium position, its instantaneous veloci rr(2x48ykt gpty

  A mass on a spring undergoes SHM. When t* pisor0k v6rif48od5 he mass is at maximum displacement from equilibrium, its instantap*so04rfvi r6d 58 koineous acceleration

  A mass is attached to a vergal9jdtk4(y/9 q)9 m j+axemcu .h(netical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy j )elagjx4h9 cmu 9aknt.d9mq/(y(+eis a minimum?

  A mass is attached to a vertical spring and bobs up y+qrz:h/4x r32f.9xff eunwa and down between points A and B. Where is the mas3rfehw2u ff 9qx:xaz.+y4/rns located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bqb 9e ay)kev3+r16tkzobs up and down between points A and B. Where is the mass located when its potential y b tz9 v6)1ka+rqke3eenergy is a minimum?

  A mass is attached to ay4oign;ndo *i iom +e;- 56wr r7res/a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy a45o ;ew7n errio6igm* dn +siy-o;r /is a maximum?

  Doubling only the amplitude of a vibrvvk: zvp3 hd69ating mass-and-spring system produces what effect on the systvzv:hp96 v3k dem's mechanical energy?

  Doubling only the mass of yixctgu n,ro e5*cec7 7(*yu 1a vibrating mass-and-spring system produces what effect on the system's mechanical energy rut,co1 i n(c*g5yxu*77cye e?

  Doubling only the spring constant of a vibrating mass-and-sp3e: hm 55dsbtdring system produces what effect on the system's me5h d3det5:sb mchanical energy?

  A mass oscillates on the end of a spring, both gmg 45.oq)cmkij9 g 0xon Earth and on the Moon. Where is4ig.o mqj5 mx0g9gkc) the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind hpgaz)4d,i3 u of change in the resonant f)zig3 ,h padu4requency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprivzp04nf h h99svb08 om8 yz/:1 aktjctng system causes what kind of change in the resonant frequency of thp 8 t0z0yt1bvj4h 8o:knah9z vf9/msce system? (Assume no change in the system's spring constant k.)

  Increasing the amplitwv(1dlm4l 5tl ude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other cha4tw(v51l mdllnges 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 attachedbq02 8oj2 sbhi to a weightless string of length L. For this system, 2hs qioj02 8bbwhen undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one c iyt1n7(h cdh4omplete vibra 7hd1cnyh 4(tition

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum Aezhd ; v*bn .yz-pj8)i is twice as heavy as pendulum B. Whai *j.zz)yp hn8-dv ;bet is the period of B?

  When the length of a simple pendulum is tz6+f7(j;w- wmy7 y z rox.ddgoripled, the time for one complete vibratoz.d;y6 g(+y-w7zjx m fr wdo7ion increases by a factor of

  What happens to a simple pendulum's frequency if both its lenuh jpm,tqe1u2ls +gco+z 5( w*gth and mass are increasegu+(jm tp5s1+eu co2wz* l hq,d?

  Simple pendulum A swings back and forth at t :x m-t b6;tc.kj1rdigwice the frequency of simple pendulum B. xj rcdbg-;.mk1 t6t :iWhich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of grav d) 4vini:cv:y qzep7-ity is less thancni :i d:q4evy) vp7z- on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rejeu2+q)j(; ko qed i9ipresents

  Curve B in Fig. 11-1 represeqi.a87nex mw (i wm 31f d0+2uykjuyz.nts

  Curve C in Fig. 11-1 representsya ug 0 i34sruz/52 crt/befqp93f) dc

  For a forced vibrati:jp) x* qwzo 0bgudsq3+(tqh-tu1 gy8 on, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is wy62k 8sm ppm8*mt mw3called the wave'38k wmmy 6wpp28m*s mts

  The distance between successive crests on a wave is callp2y/z*00k; 4 swqqyrxx,svdw ed the wave's

  The number of crests of a wvqcjd:1 mwu 31hb-1 xdave passing a point per unit time is called the wave'svjh - c111xd3b: qduwm

  For a wave, the frequency times the wavelengt-fj 2 dvoakhr/q+/+jk h is the wave's

  The frequency of a wave increv8nuck eu7n2q ls225cj1k(mlases. What happens to the distance between successive crests if the speed renk5lcck u2e( n872u1sqmvj2l mains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave om*9qy n 4a0 v/0sydtx) yb6xaun the same string has/0n0u 6 y9m xy*tvayxa4 bs)dq wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. Ard*b-ennj ;a4- nzsh 3 standing wave is set up. Which of the 3nbezh;*- rj s -4dnnafollowing is true?

  A string of mass m and length L is under tens.3, .znphwy bzion T. The speed of a wave in the string is v. What will be thnwh p., 3zz.ybe 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 kdy;;o u3+eacqx4(0eoizi,k L is under tension T. The speed of a wave in the string is v ,a;dz4e0o ; kxi(k3uyceo+ qi. What will be the speed 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 s;5(a tq/0re) inaiqtcm;n0bof a wave in the string is v. What will be/iaqqt0bai 0se; ct()nm;5n r the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wsw/t )tpnj. clq :p8l8vbk.s )ave. As an S wave travels through the Earth, the relative motion between the S wave and the partick)qclnv )8./s pb8 .tljwps :tles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t2+ /c mdwwrck/sw 6- dzau.is3hrough the Earth, the relative motion between the P wave anwadd/rzc2w6/m3w ks.s -uc+ id the particles is

  The intensity of a wavewcxa;h*haa :ctuel3-p , ;) yg is

  A wave pulse traveling 2z0cl:esfw2 f/)qza lto the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and t:wcaes2l02lqf)z zf/ ransmitted pulses?

  Two wave pulses with equal positive amplitudes pass e.4r yrap i:1 lgprl3t292lhx cu78j, :bfsfpiach other on a string, one is traveling toward the right and the other toward the lef4psf2: l:ui2rlrt g31, .x 7brhplc jfypa8i9t. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strinw8o: o o, dmw4e.jsxn*6v 7efsg. 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 occs nevjx:.w,*6o7mesd f8 wo 4oupy the same region of space at the same time

  Resonance in a system, such as a unmtt-f/+ d fm*( lme2*p zrb8string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency 41 uhy /c:wx;b mn+1fsez ,mskof that string will increase by a fac;exs: myn1wc+bsu m4 ,fz1k/htor of

  What is the spring constant of a spring that stretches jrc1 9z .aa m,1jmt3e9nmyf1 k2.00 cm when a mass of 0.600 kg is s1camkn 1 .m,1myt 9zj3 j9aferuspended from it?

  A mass is attached to a spring of spring constant 60 N/m al w(p9wvmmev0qh14a0 xong a horizontal, frictionless surface. The spring 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 ix qapw1 h0 (m0ewm94vvt is oscillating. What is the amplitude?

  A mass is attached to +* q0b 4y 9fyms0rggtm- doo-ea spring of spring 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 takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is tt0o+d 0 -qymgyges9mfb-o4* rhe period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr )vv1qmyvo* hh hs,j9z*/v/wt j79dciictionless surface. The spring is initially stretched by a force of /q vt*czo hj*19j wvv/ vy,9i)dsm7hh 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 SHMoz.;f j ffc4*v. It goes through 10 complete oscillations in 5.0 sf f.;cvfzo4* j. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spr -pop3d5als1:bc a/2l0znjpwing constant 20 N/m with an amplitude of 0.30 m. ldaoln0bc -:a s/p13 jw5z2pp 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 conww o 2u40uh;3vsncezr6k*u 5kstant 20 N/m along a 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 total energy of the k4 z6 5*erco2;w0u uwskh3uvnsystem?

  A mass undergoes SHM with amplitude of 4 cm. The epr/ ;f.sqfa*9gt hc3lnergy is 8.0 J at this time. Th;r. p3fgt9l hc/qsfa* e mass is cut in half, and the system is again set in motion with 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 a eb,lb;+z+dc9tb j,jn,q oxp-69l emrhorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibriumj-pm 9,d+lezotl +jq,,9 nbx6b; ercb position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along g;u akby7p,hq/v w8f+ a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what locatiu;pyk /qvfw7gah ,+b8on are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr+k; 2:ep2lwdz jo80bksom qj:ing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tob j2moo:8j:l20k p; +ksed zqwtal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of springuv9m ayth7 l8)uvksa/g ojs o9(:,bm 9 constant 50 N/m and set intba 8uy,9uva:sjk o7 to hg99m)lsm/v(o simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and 5b*j4e1mncrkag8 s f* forth from 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 of this vibrating mm5f4jbng* 1cra8eks *ass?

  The mass of a mass-and-spring system is displaced 10 cmi s78onn-;k51 y z7drau aya6z03n xnd from its equilibrium positionnd6 z70do -aya83kzn;nxa1i7r5y us n and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The obja:;27n6u z5 .2w* hcxxwekc;xu3h,p tkw oxyfect ihcz*f;.2kx:53w xe ; owcx u2t6 kywap un7hx,s displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attacgf; b0i76n2c /g ienuihed to a spring of spring constant 10 N/m. The object is disi i2b7g /uice ngnf6;0placed by
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 sprin6o hu uoe1zy.3g constant 18 N/m, displaced slightly from its equilibrium position, and released. What is thzu .6yu1he 3ooe frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freque:m( xdm/t:+z hsv;nddncy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and re:m:vxd +msth ;(z /ddnleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A1z2i / rowsez6hk8goy26 2wuh 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. whh186wg6 zo2 o/k22usz yi re How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches tgcnf.petl*)3j1 z:4 kyzgv61g ijcn*zs j)1ghe spring 2.0 cm downward. The mass is then pulled an additional :zlz k vjgysj*116nf 3ngitc1gcp g)e.4j *)zdistance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium xbj 7z01zhxd,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 the total eneb7xz0, z1j xhdrgy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str)op+e:i-zi 7hw40hs . elpe kuetches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fro spe4uh.o07:l z)eipik we-h+m rest. Write down its equation of motion.

  An object in simple harmonic motionf1m5yed,:k :if pbjj. obeys the following position versus time equatiodf5::fj1ye ipb j .mk,n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic m5p8e fuz* ct- y91lxihvg ;..lywztd8,wvc m;otion obeys the following position versus time equatgm9 8lu 5hc;fxtv y;e* c,-1p.wdyt zl.w8 vziion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoni l*tb mqrcfx-k/p kxz+j:, o815ra w0qc motion obeys the following position versus time equm*1kq 50qlbp af+ 8-:,x jowzrrtk/ cxation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring ex1a( bmse,(d esb)mmx2ecutes simple harmonic motion according to b,1)me(2xsebs(m ma d 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 oscillatgf v0k)ocyb+ +es on a horizontal, frictionless track. At t= 0, the mass is released from re+k0vgb fcy) +ost at x= 10.0 cm. (That is, the 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 swings in 8.0 sx 4ux12y:q-y5n ;kwq6x yht- 5nd vnob. (a) What are its frequency and period ony- ;qnxx5v2- dx :knw n4hqu yobt1y65 Earth?

  A 3.00-kg pendulum is 28.84 m ljh zy+- 8hghhxt vn zg687/pj0ong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lennkj-i 05kd3x 3*u .a0fkimha xgth?

  The pendulum of a graxs )/smmn63t*h min:a ndfather clock is 1.0 m long. What is its period on the Earth?)6*3 /mss amn:thminx

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the f) )s 5tudg x2o+ 9ux1uuqv1voMoon where the acceleration duxo)odqus f91gux+v 125u) u vte to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attacht8+( .rz vxyoj7ymb;ded to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swz y (;+xb8otdyrj. 7vmings back and forth with a frequency of 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 angular displacementf*1 fa1 iujd 74d0wrib of 8.4bw*jadd0r 1fi 7uf1i0e. It oscillates with a period 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 z--vqe u,a notf:w4y/wave at a given time. The frequency of the wav foy-4v:zewtnu,qa/ -e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a ina6ppj t68)e .a9h3e v a)umegiven time. The frequency of the wave is 12a6nh3p vtp)u.aae j6e 9)me8 i0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at 9 r zb)t*c 1wc,a knt69j;obvha given time. The frequency of the wave is 120 Hz. Wha*rccb;z1)jt9tknh bow 6v9,at is the wave speed?

  What is the frequency of a wave which hasgcm exfs90yp-9 iczql( g7 dv/x.+-ts a period of 6.00 ms?

  What is the period ob6ggh)gdb694eawt i -g +1uggf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelen.rl xyujyg9s7 x,3o z-gth of 3.0 uz9x ,o3j7r-sgyly.x m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequ* .64;ki/cklan tloqrency of 1.l k/clqn6o;tk a4ir*2 Hz?

  What is the frequency of a 2.5 m wave traveling at tujzzu8 :, /nfu7.cyk 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension oz3 f, ,u9kir-w/klxd mf 1350 N. W d fwk9-lu3/m ,zxirk,hat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What ifv,1 :-lh uh1uv qrrdbkvu ,av-.45fjs the velocity of propagation of transvers.d ,v--4ka vuuhh1v15 jqfv l b:f,rrue waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose to6gon1z*q(+s hlqh fn6 talqf nszh*6og 16(q+l hn mass 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 e/5bdt4w;xbe-ex/ x e a 2.0-m long string fixed at both ends is 200 m/s. Which one of the -ex4e/;e 5xdtbbx/ew following is not a resonant frequency of this string?

  If a guitar string has a ,7rm 4frvj*xjtk+5kj fundamental frequency of 500 Hz, which one of the following frequencies can set vxj m *4t+jjrk7r, 5kfthe string into resonant vibration?

  A stretched string is observed to have four equal segment( bv+2hcda d. o5:rzlcs in a standing wave driven at a frequency of 480 Hz. What dri vdzl:b. 5hcroc 2d(+aving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vilap )9ub;n,f rdk9y n+brates at a frequency of 12 Hz with a standing transverse wave pattern containinn,ld+ 9nkfy;)bra u9pg 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dens*7n8 cy2e ldbeity 1.5 g/m is under a tension of 20 N. What should its length be if itbedcye2l7 n8 *s fundamental resonance frequency is 220 Hz?

  Find the first three harmon6a2-qfwh sebo :tn 0r*8vuul 1ics of a string of linear mass density 2.00 g/m and length 0.600 m wh2f8r u:ol1 -vte qwa*6shu0bnen it is subjected to tension of 50.0 N.

A string of length 2.5 m iss(y7iwp9l;7u z rhi,vuqm( /h fixed at both ends. When the string vibrates at a frequency o(/us;u9 i7pmvhw(rhq7y i ,lz f 85 Hz, a standing wave with five loops is 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.