The time for one cycle of a perio/ip) 6at pkn4jdic process is called the

  For a periodic process, the numbe; ,..ht vr:o-tsjxrul r of cycles per unit time is called the

  For vibrational motion, the maximum displacement from k,c:7 ft6bsgu /75e9g:kqt9hg osew bthe equilibrium point is call b:u tfekk sesw,697o9 b5 g7t:ghg/qced the

  A mass on a spring undergoes s:t :eipqd+*d (oipm( SHM. When the mass is at its maximum displacement from ep ie:+(* ( odqisdtm:pquilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passesi-: q6wdk 2kfg through the equilibrium position, its instang:-dk2i wfq 6ktaneous velocity

  A mass on a spring undergoes SHM. When r:7 6 bg9; j8r dascfry1kb6vrthe mass is at maximum displacement from equilibrium, its instantaneous acceleratioy c6sd 1b j6gv8 r;9ra7kr:fbrn

  A mass is attached to a verti07oqe2hs1fy l6ry /jd cal spring and bobs up and down between points A and B. Where is the masfe /o s6 q0rj1ylhd27ys located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A a o:mgo+ :m8tm-dmg fx7nd B. Where is the mass located when its kdtx8-og:m om: m+g fm7inetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down i0:9kqu6fout between points A and B. Where is the mass located when its potential energy isq:k0ufi t6 o9u a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee8j5 bok-b5,qg*nsuzc n points A and B. bn8 jqu-gk , z5sc5o*b Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces s 9pq e6;biark1o1a:uwhat effectk1ur:qsba61 ap 9 oe;i on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring sys73ch5)s wwh igtem produces what effect on the system'swg h7wic3)s5h mechanical energy?

  Doubling only the spring constant of a vibrating m a khdl0)oxgf ,la5k-:ass-and-spring system produces what effect on the l) ho,k5g a0aklf-:xdsystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earcz7h.o9qz tk8vs 5ho t5jz6*nth and on the Moon. Where is the period c.ozzot9*6 jqshvk 75nt h5z8 the greatest?

  Increasing the spring constant k of a mav./-fcn1 -*vg0:4rs6ply de d nhsv bfss-and-spring system causes what kind of change in the rdv.fs n-h06 ne-1g pbylv4rd /f :vcs*esonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systemu10ss b2e3 0-e rmopeu causes what kind of change in the rosb2m1p0u0e3 sr-e ueesonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ca u 3h9r4pigpnmd(yu2aw*. :of change in the resonantpu.:c 42(9pa mgr*y ua 3hwind frequency of the system? (Assume no 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 attached to a weightless string of length n/ore5y+kgvp ;4sjs* zvb-2a L. For this system, when undergoing small ejn/; -os*4zvs pky2brag 5v+oscillations

  When the mass of a simple pendulum is tripled, tr ,dqj +nd2e8q+y1pd yhe time required for one complete vibnj q,q 81e+ drypd+2ydration

  Both pendulum A and B(t tz1a.rxeh, are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of r t, .axt(ehz1B?

  When the length of a simple pendulum is ty oku *-h/d)buripled, the time for one complete vibration in *uuk)oy h-d/bcreases by a factor of

  What happens to a simpler)gpb9h*ll*u yrj*r* pendulum's frequency if both its length and mass are increg***h r rlrb*y9j) lpuased?

  Simple pendulum A swings back and forth at twice the frequency of si/rc1b7 srs06vojh)5vz b9zx5d ft ,x05 vqfoample pendulum B. Which sz5 0x9s h17zff xv6vb rco5da0 )/srb jt,5ovqtatement is correct?

  If you take a given pendulum to thea:*tfj rf8 5rc2 p05k+2mco5 rwafvka Moon, where the acceleration of gravity is less than on ava+5f rwomkpct0fa8jf 522c *rkr5 :Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe+qv*,e5bcjp0od i - qlnts

  Curve B in Fig. 11-1 )eg*jc+av 0fzrepresents

  Curve C in Fig. 11-1 repres q,n0v v+(90gr plgiqorl28zheb0 ti9ents

  For a forced vibration, the amplitude of vibration is found to e,:ig)e gy q huy5:r3ydepend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is penlc5+ecpl7ii7 h :t +z9q*s called thz *57qpi+ehi:ell7sc 9p+cnte wave's

  The distance between sldhl97,6t ak7jhw-g j uccessive crests on a wave is called the wave's

  The number of crests of a wave pass7(.rfn,h tf wp2jvk 7wing a point per unit time is called the wave'ww7 t(j7n phf,vf.kr2s

  For a wave, the frequency times the(vhgnuv7g*9 rmr6sf,,a9ac:x qr8 nc wavelength is the wave's

  The frequency of a wave increases. , lijzko9b*+ r57xselWhat happens to the distance between successive crests if the spri+ , 9josz75*bl exkleed remains constant?

  A wave moves on a string with wavelength l and freqyc7o4i42y xfab7j e g-uency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of772ycg bj4-4 iofx aye the second wave?

  Consider a traveling wavem7)-szg *af k+w0p0p g6vhxho on a string of length L, mass M, and tension T. A standing wave is set up. W600 + smkfha*woh g)x7vp gzp-hich of the following is true?

  A string of mass m and length L is under tension T. The keo8tj*lbn +- speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the j*o8eb nktl- +string is increased to 2m, with no change in length?

  A string of mass m and length L is under tensiogwkabvxw7-bjz9 /(jr9h lvvg -h+.v 0 n T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 20jwbb- vz/9xg(vlk a.w j rv+-h9hvg7 L, with no change in mass?

  A string of mass m and length L is under tensionp 89 j9xx/7oci znl+jv T. The speed of a wave in the string is v. What wilp/jx8+lcvij xn9z9 7o l be the speed 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 en )fg:8t 6e07vj1,bs ey ozvetravels through the Earth, the reljyee)b ev v0o: 1zes6, ftn78gative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a -um 1 ae( iltm+-noq/bP wave travels through the Earth, tm bq-tio/1u+ (am-n lehe relative motion between the P wave and the particles is

  The intensity of a wjww1*8xt*ku a ave is

  A wave pulse traveling to the right along a thin cord ;(.cbsjq. s4c(usy iureaches a discontinuity where the rope becomes thicker and heavier. What js(uss(y4 b..iq;c cuis the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac/i6h- h.dpx9z ftd vk3h other on a string, one is /phz txdf-9 ik.36vhdtraveling toward the 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 string. The one traveling towardc,vu9xkj:*p e g*s3 ru the right has a positive amplitude, while the one traveling toward theg,r usv*p 93*ecjxk:u left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at bots h mks :x)hv*649 dmb r/d 4rk;z9zdqbkna1e7h ends, occurs when

  If one doubles the tension in a violin string, the fundami4h+ium m/j /iental frequency of that stringii/u hj/+ i4mm will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whx; .2ywo dgwl+en a mass of 0.600 kg is suspended from itol2g.wd+ y;xw ?

  A mass is attached to a spring of spring cons+fb7xdlp) mk7 tant 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 bacbf) xml+ d77pkk to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontai yc7q9 ql(g:yt39/wk9grbt ul, 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 g 9y9/wui(39 7qtq:trkgbc yl its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to 0s l(0wvf auw7 lt;3r0 zibg0pa spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a 0r(t0ziw3 lub ;00p gaswv7flforce 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 unwds o, ,2azgand+;pw u) -x7ildergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the periwdsz,, g 2ua )loixw7+and p;-od?

  A mass vibrates back and forth from the free end of an ideal spring of springs1s1q pka 6-lcp25u ng constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vspsuc 6kq -g1125n lapibrating 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 z 1q5rp o-(aefN/m along a horizontal, frictionless surfac-a5o qze(f rp1e. 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 system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time.8b5zdoz, dh spk3b20 r The 8 3bdp52rbkdzzs,oh0mass 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/ e9qbbxje r-7d9 ka2y.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 amplite9b.9j qk 7-2dyxaerbude of vibration?

  A 0.50-kg mass is attached41ka)5bri gj i9 r+:0oexkhxx to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple ha1re h09gr:)ki4b5+kxjx xio armonic motion and has a speed of 1.5 m/s 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 end of a horizontal spring of spring constamdj33jd,0tt.f f.fwg 5* zdu.)fe ppn nt 50 N/m and set into simple harmoni0w3)n 3d f* dgt.ezmfp5f. tujdf, .pjc motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of)(mnvp)9hzfsf ,ek1k spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mehvfn ks pzk))(,me f19chanical energy of this system?

  A mass vibrates back and fv*ul; ipx) h0rm6 gz1c ft3(6yf,yxb uorth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.1 *pcf66xuitlm (fbzgruy03 ,x; vy)h250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-shl7ufvk) p8 +kpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cl pu7v+ f8kh)km and then released?

  A 4.0-kg object is attached to a sprip,knr4y yc5.8p dyo(x g 0zt/ing of spring constant 10 N/m. The object is displatr , g (y4yki85cppd0yon/ .zxced 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 py9v03 y4 dazv8qpv1 wa spring of spring constant 10 N/m. The object is disp0dyyvv8vp1wz 9p4a3 q laced 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 spring constamst18x c4w3 flnt 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of xl wc4s83fm t1its vibration?

  A mass is attached to a spring. It oscillates at a fref/wa r zn-fk32quency of 1.27 Hz when displaced a distance of 2.0 cm from equilibriurf /n-w3f2kazm and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Ma *noe:sl um2pj+.9qhm ss A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm2:p lhs*u+mo. m9njeq at a frequency of 16 Hz. 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 stretzgxxsub hbosd88c9 64)zw(o7 ches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. 8so89 g6ozw x zc74husb(xd) bCalculate the period of oscillation.

  A 0.30-kg mass is suspendez hdfqyd;,k90jfm9 w)d on 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 rest. Calculate thyj9mw0qf f,z d );kd9he total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibe:veinzo 1(y8rium 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 down its equation of motion(1evize:n 8yo.

  An object in simple harmonic motion obeys twc.m; uud5rg, he following position versus time equau dgwr,u; .5mction:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonicsj*rk9 swlj r-c+:6 bzz, vm(a motion obeys the following position versus time equatio sr(jc6r-wal+,9vmszbj *kz: n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple hqr v+,huw9a-di) d*xoarmonic motion obeys the following position versus time equationvx,+dwu- oh*d9r a iq):
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ofgoi/k47ckp k2ki1ckm27 trr+5sf;+s rrz b0 i a spring executes simple harmonic motion according to the equatiisi+kr7fp rmi7gk;rr 5k2 / sztco0c2 bk 4+k1on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprind 0qhklhe;(r8df k +.zg with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at xh qk;0zr+fhd(8 de k.l= 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 s. (a) What are its frequency amh +a206rqz tynd period on + qry2amh06tz Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period 6rad +g7dajv de(h.abmf. 0 1won Earth?

  A pendulum has a period of 2.0 s on Eaje ek9:fpr+i7zamy- 8 rth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tf(yxw72y y e -7nw,u(gb q:j5fl y/ayrhe Earlr gynu7fjxf/-7y( : 5wy(b,yywq2 aeth?

  The pendulum of a grandfather clock ishubndi:;+gf bw6o8h *lvh ,gowc*/p) 1.0 m long. What is its period on the Moon where the acc*/+ bgnlh)cg; d bupio:6,f*wv wh h8oeleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kwwv(74tc4 oow g spherical mass attached to a massless string. When the mass is displaced slightly from its eq (4cw47 wovtwouilibrium position and released, the pendulum swings 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 masx7zb+( nlxnh1fc yb,6s has initial angular displacement of 8.0e. It oscillates with a period of 3zxy7lbcn +b1, 6h x(fn.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 time. The frequency ofxw8*mn ;p*i tn the wave is 120 Hz.tw m*8*ni pn;x What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequy n p8mi:v a../zvdpr4 0qol1bency of the wave is 120 Hz. What is th ioypm8qlpnb4 1 ..draz0v/:v e wavelength?

  Figure 11-2 is a "snapshot"x6gjce -;fi 9c:af6rl of a wave at a given time. The frequency of the wave is 120 Hzl xrff9e6 j;ca:-ic6g. What is the wave speed?

  What is the frequency of a wave which has a f*r egd:yc,s3 period of 6.00 ms?

  What is the period of a wave with ajcza 9 :q:+j rycl)hmv0yrh(3 frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o 4nbd2y6vll2if 3.04v dn62l ibl2y m?

  What is the velocity of a wave t *cplek,gzais-fw1* , hat has a wavelength of 3.0 m and a frequency of -c1 lg,wpi *e fakz,*s12 Hz?

  What is the frequency of aeezf, wo/wob3/ 3fte, 2.5 m wave traveling at 1400 m/s?

  A piano string of lineas4x7) w, ;lwhff,kl mqr mass density 0.0050 kg/m is under a tension of 1350 N. What isf)hwxk q wf,l4sl;,m7 the wave speed?

  A string of linear density 6.0 g/m is under a tenssl 9ftc8of*pbv*s 3b+ ion of 180 N. What is the velocity of propagation of transverse waves along thevfc t9l*3s* pbfb+os8 string?

A wave whose wavelength is 0.500 m is traveling down a 500 p,-a uzo, b,mkm long wire whose total mass is-m,oz u b,a,pk
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 transvep 7 eax8m.eze0cbxfx78b il98rse wave on a 2.0-m long string fixed at both ends is 200 m/s. e7mbx ipf 88.e 7e890alzbxxc Which one of the following is not a resonant frequency of this string?

  If a guitar string has a f ivnk+u*f6 gbpl2wj9/v; x(cfundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant lwfucxgf knj v(p+*9b/vi2;6vibration?

  A stretched string is observed to have four equbbm mpn)1n-3ig2avr1 8:rb heal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equ1 b)21-3e8g bravn:bpm ihn mral segments?

  A string, fixed at both ends, vibrates at a frequ2-3m6- uoz izhzkwv5jency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neh3uzz2k5 vomi-z jw- 6eded if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sho;sc /7cwx9s+j -d dcfguld its length be if its fundamental wxjcd-/sd+f9;gc7s c resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear-18c jg jvc, uet1kj7z mass density 2.00 g/m and length 0.600 m wv 8j 1k7j-,zcegu1jct hen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both f.px7x n a/6b n5mod.xends. When the string vibrates at a frequency of 85 Hz d /bxx.omf7a5n6xnp., 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.