The time for one cycle wqc9sa zqq c -c01,bk8of a periodic process is called the

  For a periodic process,zod7 e zv8hzygw0k a8*8,v8ab the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is 5oi4q1q/rwtnilayspk6y2 7,ca/5q7kns yl1tw4qoiry62 i a,plled the

  A mass on a spring undergoes So6wp;z;c,x j -w34;oe,hb0cng *6 flptj mxoxHM. When the mass is at its maximum displacement from equilibrium, its instantaneous vee;;mow-o w4jn, xl0,cpt6 hx6;xz *cj3ofpgblocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrium l jlmqb.,3 f(qz1 ay u.:ulcy)position, its instal. lu fqucz:(a.yl )b31qym ,jntaneous velocity

  A mass on a spring undergoes SHM. When the makzird ge b79qf01 ztq2xs)l8i k0lf)7ss is at maximum displacement from equilibrium, its instantaneous accelera)qf2bk7k e 7rlzq0ftxi0l)z198gdis tion

  A mass is attached to a vertical spring and bobs6* ;*h- xwi2rzega+skr2tnrl up and down between points A and B. Where is lt n*rr6his+w;kr2 -xz2age* the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweq9 a jv64).lmf6kdhsi en points A and B. Where is the massslja6fq6 4i9mk)vdh. located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and z wl x/f3qldu3z0y)u2 bobs up and down between points A and B. Where is the mass located when its potential energy is a minimll)uxq3 3/y0u 2zdwzf um?

  A mass is attached to a vertical springw9db5g*u- sj e and bobs up and down between points A and B. Where is the mass located when its potbdgj - 9*5sewuential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatyej7b ffp/j2m+wv 0k ) effect on the system's mechanb+vk2 efpjf 07)wj/ym ical energy?

  Doubling only the mass of a vibrating mass-and-sprintt0m*t6 wtm dkx6o7+ ug system produces what effect on the system's mechanical energy?wt6t7 6d tu0m+oxt* km

  Doubling only the spring constant of a vito:olgecs5 7yh 2 4t5vbrating mass-and-spring system produces what efcyos:7vet5h4 2l5tg o fect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where1 af s48j3aum 5nss2qn is the pejq3 82mas nsnsaf1 u54riod the greatest?

  Increasing the springw 74t:1szrwdm- oz br2 constant k of a mass-and-spring system causes what kind of change in the resonant frequer 1-tdr:wos 27m4bz zwncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systerl e:gakfgoc5k,.1 mi/i d6 .s gun9-hm causes what kind of change in the resonant frequency of the system? (Askm .. s,i:1r5ikh/dgo6 nl9 gaf-c ugesume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what ki 8;etib2ixs6s nd of change in the resonanti2 8st6;sxbei 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 consisd yrxvyd(e3.s+hv 7v 0ts of a mass M attached to a weightless string of length L. Fo 7vx.se drv(vhy30y+d r this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onay fasj)umhqy4 . -+7ce complete vibra+ cjam).qy-7 fyhu sa4tion

  Both pendulum A and B are 3.0 m long. The perifp1ag0):) qy,elpl 2k lxe2 vqod of A is T. Pendulum A is twice as heavy as pendulum B. What is the perioe:0)flx 1vl2qp gkle 2ya qp),d of B?

  When the length of a simple pendulum is tripled, the timed:wc bqf7,::-yernkp for one complete vibration increases k:en7 ycf bd:w-p ,:qrby a factor of

  What happens to a simple pendulum's frequency if ;o39n fw mxjl ll,5tr/w-emi+ both its length and mass are increased?oxweml ,r t9m+fn- 35wjll/ i;

  Simple pendulum A swings back and forth at twice the frequency of simpl gol5s yfeuy/o21ij(*v9j d 1ie pendulum B. Whiyj1oeug(1yi5 9fl/2o ds *ijvch statement is correct?

  If you take a given pendulum to the Moon, where thef3iyi; 6fcyg)5qp( ag acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wy3giagc yff5(6pq ;i)ill

  Curve A in Fig. 11-1 represents1phl3 9h5eyw i

  Curve B in Fig. 11-1 representffpw9j+; pvl )s

  Curve C in Fig. 11-1 repr,xp78d9s n mh ns37ndlesents

  For a forced vibration, the amplitude of vibration is found tb.4yswkzq)s37 -9g zh apjmz3o depend on the

  In a wave, the maximum displacement of points of the wave f; 1v vfn4*rq snkg;6rdrom equilibrium is callr6;*dfn1nvrq k; sg4ved the wave's

  The distance between succhr5 f l,uu) u gr76a(0ltr0pilessive crests on a wave is called the wave's

  The number of crests of a wavby3 o sd2r/ o.0bbkhpp.;-o wpe passing a point per unit time is called the wave's.oy2/o0bbr ppoh .-wp3 ;sb kd

  For a wave, the frequency times em2 rz5eq ;s*ithe wavelength is the wave's

  The frequency of a wave increases. k4t6o*8-o : gmzewf yw What happens to the distance between successive crests if the speed4k-tw: 8yz*mwfeg6 oo remains constant?

  A wave moves on a stri* wj .:aqc.btiu;zcm .ng with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the freq w.mj:a. zb*ccu it.q;uency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tens m84f1szt.zodv 9ic-wion T. A standing wave is set up. Which of the followin fwo 1vtz9szd. im4-8cg is true?

  A string of mass m and length L is under tension T. The speed ofb5 ,ssqfg y.kj( zym2t)e;:cq a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is incr:gys;(,jkftc2se ) b.mqy 5qzeased to 2m, with no change in length?

  A string of mass m anffb 3c-zbi*tm40 ;wyn d length L is under tension T. The speed of a wave in the string is v. What willn ff;tb-b wi4y m0*3zc 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 s x 90xzwb*seqk.. al0jpeed of a wave in the string is v. What will be the speekjql.xzsa0 . *09ex wbd 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 ttm0oz4 5p7 k2ytorf c7hrough the Earth, the relative m ztm25o ykp0fc7 ro47totion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thl (8yqflo8 ik-rough the Earth, the relative motion between the P wave and theylfi-ql 88o(k particles is

  The intensity of a wave i2f+knat e -dkx:ext 23s

  A wave pulse traveling to the right along a thin con 71e0./wy ywc 9+kaiks;o d2befcd,s rd reaches a discontinuity where the rope becomes thicker and heavier. What sdycbe7we/f a0,k+i o1 9ys 2;nw.ckdis the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplit eonsa31qu4oo 42i-np udes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same n-ae p4onouo i1q243sregion of space at the same time

  Two wave pulses pass each other on a strineo;f6xf1b(,2k fw3e , u xdd7lnmfim,g. 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. 3mmk dxlf e, ,2ow1,( fui6f;enbxfd7 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 both ends, occurs( /umz(h(oe du when

  If one doubles the tens/ rl27a oi7ji p cx3fyr4/.zdlion in a violin string, the fundamental frequency of that string will increa/x7 4lf2zilir rc/7o 3pjayd .se by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of 0-6tpb tfu7 vz(.600 kg is suspended fv zt tf-b67u(prom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontxamu7:dbjee/ hx1 4wwt+ +c( :loahk- al, 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 t1:+(xx ekh7bjou+wm e/a h4wdlac- : is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60yvpf or/9qce 9: 2cv(ab zte3; 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 the period a: p ;f9bo39 v/ceyrqetvz(2cof oscillation?

  A mass is attached to a spring of spring constant 60 )d js)cn1kdte7x2eh;N/m along a horizontal, frictionless sutx)h ;7e1kndde) jsc 2rface. 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 the frequency of oscillation?

  A mass on a spring undergoes z+w je1c)2dk m0 uu-uaSHM. It goes through 10 complete oscillations in 5.0 s. What is the emjdz2+ak0 )ucuu-w1period?

  A mass vibrates back a7l xz-y* kz)aynd forth from the free end of an ideal spring of spring cokz* y- yxl)7aznstant 20 N/m with an amplitude of 0.30 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 )artgccu;tid ,)1f 4v spring constant 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 pfi4),;ar )dtccvu1 g tosition. What is the total energy of the system?

  A mass undergoes SHM with ampkfi, tk i ,0i2ya -tyk;l4hyey+l 0.hglitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the gti-a+it ,khl2f.4kye,hi; y yy0 k0 lsystem 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 springwdho/ :u-m wxjgp w /4- n(hp74rr*tcc of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harm o/44w7hmwr/xr-wd jpcc(hgutpn-: * onic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hono4iay xsjry 8;-h, ka2a)j/crizontal, frictionless r)x8;yo4y ,caia sjjk /2h-ansurface. The object oscillates in simple harmonic 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 concq c) 80z6g bq9k0yislstant 50 N/m and set into0cq9sbqy6 l izgc08)k simple harmonic 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 spring constant 5we9g; px /:,ouc r kjhhkk/3s90 N/m and set into simple harmonic motion with an amplitude of gk//;hckh sr e kox3:9,9upwj0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from th-zlsz,7xmu y/zi.d1xng hc (2 e 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 eni/y .d,lz1-(7 uxhxgzs 2nmc zergy of this vibrating mass?

  The mass of a mass-and-spring system )2oj-ag e zxe0is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would xje e0g)2ao- zbe 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 sprs) 8qqfi4 dk3ajw;:fxuy. gtjf*4c6w ing constant 10 N/m. The object is dwgu )fqtk*:af;xj4i y8 f 6dw3j.c4 qsisplaced 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 sprinlsw.6bpn(*bv /rzi .+ s7e mvwqn/m,ng of spring constant 10 N/m. The object iszbqn,+s6 brs wim elwv7 p. (/*n.n/vm displaced 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 sprinmokg fgd/6c4b 9b ,;z gur(6gng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency o;r(gfo6zndk c,b6mb4 g9ggu/ f its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.i cxas1m3 uajfq8(10k 27 Hz when displaced a distance of 2.0 cm from e( cxfa kjmqu8 s310ai1quilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mz 1r qe6:4joasxl+atyv) jz6.ass A vibrates with amplix6.ojr lq 4aj)tea+:6szyz1vtude 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 to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equiligyy4(hb hpg, :e,0tmnbrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released by0g(h nety,4m:, h gpfrom rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t,3icq a *dms yi u,n(qp156exthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.c,iyq1 t5usp6 e(mn d3a ix*q,0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on ah*s lnsc1an1i:j. .uw spring. In equilibrium the mass stretches the springu1sn* .la1shn jicw.: 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.

  An object in simple harmonic motion obeys the folloe, m4affe b9p1wing position versus time equati,1emfap4eb9 fon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mts f.pasfrw ;-+l:1 qpze/m3nyed/z1 otion obeys the following position versus time equation:m1 nly pq+;:s/ .-fa/r1pt ewzezfs 3d
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time l qr(36s fm8hi2 xa)idequation3 2l8q() d6fxmsiah ri:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o,t)h 0e hdnx7+q( vgv-lmi.gl.pxd (rf a spring executes simple harmonic motion according .- ,gvhmh.x+d7g)qlr(xe t0v(pd ilnto 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 osci rtotdfbdh1 w2. *cu+4llates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretche2o h1w.bc4+*ft ruddtd 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 swingsy6b uo1fbqjal.de*1 9 in 8.0 s. (a) What are its frequency and periol1daeybf6q u9o*1b.j d on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period 7fx-wvxe5 n*von Earth?

  A pendulum has a period of 2.0 s on Earmsajpn954qxz3 l er /6th. What is its length?

  The pendulum of a grandfather clock isymfw .ud/0ugj4c f.ky0*czy6 1.0 m long. What is its period on the Ear40/6 .fum*0 fyzkjw.gy ccudyth?

  The pendulum of a grandfather clock is 1.0 m long. What is it j k. )6wp on+rrddkp8g7wln9iy;zg45s period on the Moon where the acceleration due to gravitjwrn56i ) dk r.d;+p 87ok9pgw yzgl4ny is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass at 0adddn03 f:n n):tgmttached 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 of 2.0 Hz. What f)0td dn 0atn:dm :f3gnrequency 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 ang7rfukp-/l37 mg q ykb0vk0 w:tular displacement of 8.0e. It oscillates with a perio-:v30u ktl7/0py q7brmkkg wfd 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 time. The frequency ofi3t mgzo1 h5tx5wi/kphq/,* w the wave is 120 Hz. ,/3twoztim h*1kp iqhx55 /wgWhat is the amplitude?

  Figure 11-2 is a "snapshot" of a w vlu)(rw qw3cl: 5,q2/.iffwjy vlbmo n4 y4*gave at a given time. The frequency of the wave is 120 Hz. What gly/ri l.vu3*l( 5f 4qwf,42 j:mcnowvwyqb )is the wavelength?

  Figure 11-2 is a "sn7x*a0* lg 7*0x zv+n fkruwfpfapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is wzx x77vn flfpr*kf0g+au **0 the wave speed?

  What is the frequency of a c )6n,qq xis/kq9tyl 5wave which has a period of 6.00 ms?

  What is the period of a wave with a frequenc jzotqv; /,l:cy of 1500 Hz?

  What is the wave speed if a wave has a freq s11gluwtr4ea5t t29quency of 12 Hz and a wavelength of 3.01t4u ql1e w2gtr5t s9a m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequencym h4+lhz9tar h 5/*qlc of 1h5/ h4rm9 alcqz+th*l2 Hz?

  What is the frequency of a 2.5ujn j. na8aoi6o; gx9, m wave traveling at 1400 m/s?

  A piano string of linear cm7) dnptix58y7c 2qnl+ fe(jmass density 0.0050 kg/m is under a tension of 1350 N. What is the wav)ej 7m+87i yqntlcxc2 d5( nfpe speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whaom 2 fdtyu(c37e; i.get is the velocity of mf; 2( .tgde ceyo73iupropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveli(q h upaw3cd0d o16h7mng down a 500 m long wire whose total massmd(1aqoh706uw h cd3p 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 w )/wnstpk(- (nb7jyb wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strjw/nn)kbp7 ((w bys- ting?

  If a guitar string has a fundamental frequenz+,ssqlhd ou -4 2pfw+cy of 500 Hz, which one of the following frw, huspfoz++4-dq 2 lsequencies can set the string into resonant vibration?

  A stretched string is observed to hav3x uz;isq 8.(dr da1oee four equal segments in a standing wave driven at a frequency of 480 Hz. What rx; ozs3e(au8dd i1 .qdriving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibraopvmh)051 muga +y y;gtes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequey+50 a1)u pmyo;g mgvhncy is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension ok0r e.rz*5dfuxuo .,u f 20 N. What should its length be ifrxf5. udo0 u*r uk.e,z its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics ofoc6s+20k7w anq g sc/ whl/o-i a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of w/o-w6 l2g/kci csnha 07q+so50.0 N.

A string of length 2.5 m is fixed at both+ero io+s .i/x ends. When the string vibrates at a frequency of 85 Hz, a standing wave ws+. /eo rxi+oiith 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.