The time for one cycle ofx):2;txvibv in o9xr-/d7ikw a periodic process is called the

  For a periodic process, the number of cycles per unit time is calledz1jg 67azmj i6 the

  For vibrational motion, the maximum displacement fr1xpwc9q5 6vlf5gf rw: g9q df-om the equilibrium point is called th5q-gr 6xff9l cg5v:w qdpw 9f1e

  A mass on a spring undergoes SHM. Whenv ah9-a xx*8-o4-y ad:c jqrle the mass is at its maximum displacement from equ-cah8dvqoje9xxr a4y *-a: -l ilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrrneh.g+m(( *dj:wci kium position, its instantaneous velo k*g(wn(:+ hdj rc.imecity

  A mass on a spring undergoes SHlytb 2b1y1zm6 *o7vezzd1:qwM. When the mass is at maximum displacement from equilibrium, its instantane1omz y16tb7:edv2yzq w lzb*1 ous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A vb11ck9;z msvand B. Where is the mass located when its kinetic energy is a minimum?z 1;9 vs1kmbvc

  A mass is attached to a vertical p0nv7n3y0d sgk q24jh spring and bobs up and down between points A and B. Where is the nn kjs 23p7qg4v ydh00mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A6o2w y5nef;xw xi0s7f and B. Where is the mass located when its potential energy is anxf6 ;0x5s2o 7yfeww i minimum?

  A mass is attached to a vertical spring and bobs j73:a l.fcpd dup and down between points A and B. Where is the mass located when its potential energy is a 7 lfd:pdjc 3.amaximum?

  Doubling only the amplitude of a vibrating/9 bzu6:y7 m*y+njhha5th sfqr 4ck( q mass-and-spring system produces what effect on the system's mechanical 5hhqy4+(/bkthnj rcfqams76*:y uz 9energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what ef u2*t3pl,n,dtbt4i y bcctt ; *k,:moafect on nabu c; ic 4 ttyttmb l32*k*,:,pd,tothe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring swl+dg dst 1r6)ystem produces what effect on the system's mechaslgt+1dw 6d) rnical energy?

  A mass oscillates on the end of a spring, both on E6rnss/( 2nau 7 +oml2xoyw (y9djrhu9arth and on the Moon. Where is the period ta9n my6uxohl2jyd/ss( r rw9 72 +(onuhe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kin k* an7nqdud. 8g9z:yxd of change in the resonant frequency of the system? (Assume no chan z8. g xd7:ka9nqdu*ynge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chan.g 3swlpd2jd((a m)- l,dax9dh ce8d nge in the resonant frequency of the system?p -, 3.c(l9dda82dgsd (njxaemlwdh) (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind h1g03vigx/a 3hh- vudof change in the resonant frequency of the system? (Assume no other cg vhud -33axhh0i 1vg/hanges 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 mokj4,wrf2 t3 4,wmrx0w/yj2dkkly/ L. For this system, when undergoing xj t ry,2k/wl4 ofykd rmk/w2w4mj,30small oscillations

  When the mass of a simple pendulum is tripleh/emv)2, fu 4)smvwmpd, the time required for one complete vib vmp/ehfw)u )sm 42m,vration

  Both pendulum A and B are 3.0 m long. The pel s-3w-mrnc pqn 3)in6riod of A is T. Pendulum A is twice as heavy as pendulum B.63 snn-cn3qpm rl )wi- What is the period of B?

  When the length of a simple pendulumft.a0 0iti4hv is tripled, the time for one complete vibratiotavt0ii .0f4 hn increases by a factor of

  What happens to a simple pendulum's frequency if both its length an w8eu.2v6y:e/ keg k,( rqdlhvd mass are increased?6k/vu r :d 2ev8e(qleywh, k.g

  Simple pendulum A swings back and forth at twic iwg q4ool *19c,9,uf uaahw2be the frequency of simple pendulum B. Which statement is correct?gw u ho9w l4fcqa,oi u,9b2a1*

  If you take a given pendulum to the Moon, where theddl :in6pqt5bc:) hb4 acceleration of gravity is less than on Earth, the resona4hd nd 5tip:bq 6bcl):nt frequency of the pendulum will

  Curve A in Fig. 11-1wt0uaa97r3lkvl w;a9 b:c e; r represents

  Curve B in Fig. 11-1 r:i8y0ko j7,:e1igz94t fxig6:hybbr4zg y olepresents

  Curve C in Fig. 11-1 repre s1:+mke-q)hwg5 .d:w)8f s fa*nveif lic4z psents

  For a forced vibration, the aus, cd12,hyn lmplitude of vibration is found to depend on the

  In a wave, the maximum ::-bvfbsx20x-dledr displacement of points of the wave from equilibrium is called the wa dxbl f0-xve-2sb::rdve's

  The distance between successive crests on a wave is cal(nm+3nn3g vk lled the wave's

  The number of crests of a wave passi gi c) 9 9z+xm+lmg5qyk p0ywxer03z*yng a point per unit time is called the wave's3xxmzrkq+i )cze 0wpylmyg*g 9+y095

  For a wave, the frequency times the wavelength is the w/mda r g47p;fwave's

  The frequency of a wavex5 lzk6ngfb:d .gjc4xb 606ts increases. What happens to the distance between successive crests if the spee0ntdxb f6:jk .sg b 4gxl6z5c6d remains constant?

  A wave moves on a string with wavelength l and frequency f. A w8+cr:pv nbt *second wave on the same string has wavelength 2l and travels with thtn w8vbc* +r:pe 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. ywtb )lh-g 17mA standing wave is set up. Which of the foyt -lm7wg1)h bllowing is true?

  A string of mass m and len 684,s0aw8 weqdaums/1qi5.jsadii tgth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the aw1je8as6aq4i uq5,0 d.i istds /8wm string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and wndwk; 9q 9qx6length L is under tension 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 2L, with no chan9x 6qw9 kdwnq;ge in mass?

  A string of mass m and length L is under tension T. The speed of a wave in t6isftv oc9 ll*z0 8h nrq41gt7he string is v. What will be the speed of a wave in the string if the tension is inct olrsv zh1 8n7t cf*i90qg6l4reased to 2T?

  In seismology, the S wave is a transvjv(z ;4mrp7c merse wave. As an S wave travels through the Earth, the rela; rjm( 4zcm7vptive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As ap;zn4*g hdb ;a P wave travels through the Earth, the relat* n;gd4az;bp hive motion between the P wave and the particles is

  The intensity of a w80gz3.r v b hl,j8anboave is

  A wave pulse traveling to the right along a thin cord reaches a discontinui(rz n5llv t d4t829qdjty where the rope becomes thicker and heavier. What is the orientation of the reflected and tran ( 4 dqld2rvn9tjl5z8tsmitted pulses?

  Two wave pulses with equal positive am4. dbkh4tan(yy8lp (n plitudes pass each other on a string, one is traveling toward the right and the other toward the nn.tay (hb44dlykp8(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 ounl/gje pb6ej7g 1/)zne traveling toward the right has a positive amplitude, while the one e/zgbun1l gjj /p7 )e6traveling toward the 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, yet+y43rcyr/ such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin st+ y:1e *wzeqni7z qv;r )52 nvliucp.qring, the fundamental frequency of that stq qw:.c i 2ipvynn1rve* z7ul;5e) +zqring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a maklb 4 8zjd672g+hjhioss of 0.600 kg is suspended from 7hjzlb 6 dgoh+i248jkit?

  A mass is attached to a mvr6xks8,m( vzh9 : tnspring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on t86xm,(vk n zt:v9 srhmhe 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 spring constant 60 N/n pb0qz/0c1vc6 iin.vm along a horizontal, friction6czc0/ .qnin1p v0i bvless 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 of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a hori0s/ c p6z.hmfsr 2e6fazontal, frictionless surface. The spring is initially stretched by a force o fac0re.fps6h m 2z6s/f 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 10 complete oscilluzkv)7)ywsp 3ations in 5.0 s. What is the pwk )uvps7zy)3eriod?

  A mass vibrates back and forth from the free end of an ideal sprz.gnf7ls mnizsrw0jn560 q35r 8r6m z ing of spring constant 20 N/m with an amplitude of 0.30 m. What qr7 6n 3rzgw8ns .sjrnzmimf5zl065 0is 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 v +p xo+c7yvirx1a(4 z*-mn nqspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscil7icv-a1 o4v+rmn*(x +nyzpq xlates 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 en /h il*3jgo*wcg dpf8,ergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with agc*jwl*o p3,g/fih d8mplitude 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/mbn8j) c4b9hmvyv0 wb 2 along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1b)2vwn mby89hvc0 b4j.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sprin 0l5/s5e mrskig of 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 position. At what location are the kinetic energy anrk 5es 0lmis/5d the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spricw 1)ftqsj ivqqj7*,);( hq hcng of spring constant 50 N17 * i()qs)wqq; f,cchjqjhtv /m and set into 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 ofu ofwar,kp1c fx1jer5.n 37*9p p ;kkr 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 enerrf.w 71pur*p1 9nk 5je, cprkakxo3 f;gy of this system?

  A mass vibrates back and forth from the free end of an ide g.lh7r)/4un*ifc qqr al spring of spring constant 20.0 N/m with an amplitud.rir)h4/fu7cq l q ng*e of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is g*mz4iy2 kt8f 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 fk8m gzti4y*2cm and then released?

  A 4.0-kg object is attached tob m2d;mxxl)iz(,:h p k y4ooa0 a spring of spring constant 10 N/m. The object is displac ,2a 0 xb;o:xdk) mhp4milzo(yed 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. rp ff-h9nj4i9a1 ir.d The object i4 dp.9j n -rihf9rf1ias 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 spring constant 18 N/m, di)i;(b(n(,visp fwhkp splaced slightly from its ep h((;p, f(kib)winvsquilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of s gbvj9at .51/aaca 5-pfe0u b1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?c p51.0/gu5tasefj a b vb-a9a

  Two masses, A and B, are atti+dl-c n er2s; ly7c2iached to different springs. 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 y i7d -sli2+cln;e2rc of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended onx j*;;q ngdpb (k3m)pw a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The m(;b)dw*;gkpxqp3j n mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring.vxq 21wsr09f w 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 the total energy of1290qr sww vxf the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchewj :g2*jnulr8s the spring 2.0 cm downward. The mass :w ujjrl 8g*n2is 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 following position vz4 fpfx k9rea eybh2:.(;bbti 8m26ynr x s./sersus time equhf bxr2i/(;ry s.peba 8s2 ez4 f bnxm9k6:.ytation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple h a 6ed) :.*nxjkadxet0armonic motion obeys the following position versus time equ6tanx e:j0d*. xadke)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following vaklrv7)jj0 , position versus time equati7 vv,rjk0lj) aon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonics.a2)v c myff+ motion accordingsy)fc+avm 2 .f 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 oscillates onr7 r h jv;rdivwy:otd6 p64x*7 a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spriv 6d7yrv:dj4*h6 ot ;xprrw 7ing 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 rxiuq.tp)3 5q.r yy:s s. (a) What are its frequency and perioit3u.s rq5)p:. xrqyyd on Earth?

  A 3.00-kg pendulum is 28.8 7gf:0 0qfrr:h+dcas fsaw1s 14 m long. What is its period on Earth?

  A pendulum has a period of2eaf7p4j /h/wufw5vn 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pfu1i;(n nk+vw 0hbrb )a6 gy:zeriod on the Earth 1)+agf(6h0rnnvk:b;iub z y w?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t7hsxngm 2hm4b3g5z .the Moon whereg2bg7 z3xhm5s nh4t m. the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consist /dvg.gfowm o,r c6fo++ f0n;b- rugc+s of a 0.25-kg spherical 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 of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (sam 6w+./ofbo,gvfr0c mgcru-d;+no g +fe diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial ang la*:1d0pwrvwe7p*x c gix.8 gular displacement of 8.0e. It oscillaxgvwca* * .1g7 pil:8xrdw ep0tes 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 wave at a given time. The frequency of the wan/h4 9g lm3udxve xuh3d l4 gm/9nis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The 21n)jh4 f2qlii -()sj:s*e fmv qt urkfrequency of the wave is 120 Hq2jh4: f*s -li )qfui(tjnv 1e) rk2msz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a givens0mv ei635 ocf time. The frequency of the wave is 120 Hz. What is the wave sp06ci3 eosvm 5feed?

  What is the frequency of a wave which h9l s ,ib9o(lanlxs cq*w23eo- as a period of 6.00 ms?

  What is the period of a wave with a fre*h+ q*vj prh*wau.+ hnquency of 1500 Hz?

  What is the wave speed i5;nzi y3dl hj2+ pb9pnukuw);f a wave has a frequency of 12 Hz and a wavelength of 3.0 ndnjkwb+ 2 9 ;5zp)pu 3iu;hlym?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequench:u, ijd .hvg5y of 12 Hz?,hig .5uv jd:h

  What is the frequency of a 2.5 m wave travel iahbe.+w 3x1jing at 1400 m/s?

  A piano string of linear mass u:bd pi eioyh);oznmv3od w208 q.0c9 density 0.0050 kg/m is under a tension of 1350 N. What is thecu oqdwp )iie0m82 n b z3:do9;yh.v0o wave speed?

  A string of linear density 6.0 g/m is un95r v +j7d+kkae52jvi rh w5szder a tension of 180 N. What is the velocity of propag 2d+kkhw+a5v5i s e vjrz97r5jation of transverse waves along the string?

A wave whose wavelength is 0.500 m u: :hggqy* :mmis traveling down a 500 m long wire whose totaly*hmg:qu mg:: 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 os -o f-fco-p2ef a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of th e-cofpf- -os2e following is not a resonant frequency of this string?

  If a guitar string ha3 qb/ +0gcpkwed8 9bfus a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into res8bf+qbgw0ed/ 93ckup onant vibration?

  A stretched string is observed to have four equal segments in a standing wtb gye*:t* k:eave driven at a frequency of 480 Hz. What driving frequency tbg* ee:tk:*y will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with l 1fp)bz*4lgg:r0gsla standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contf z rlls pg0b1*)ggl4:ain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should i m0 k1rkc9l tu vw98/l1ynspz6ts l9 k1p lt kul0 8sv1m/zr6yc9wnength be if its fundamental resonance frequency is 220 Hz?

  Find the first three0m7q z uq2,yzd harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is szu q02 yd,zqm7ubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both end z2ad1p,pqz 7 m61ofres. When the string vibrates at a frequency of 85 Hz, a standing wave with fivpz,qem aofr171zd 2 6pe 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.