The time for one cycle o;;g jgea vx+i,f a periodic process is called the

  For a periodic process, the numbn34qk3kockq c kyjkv67:7v+ a er of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equil* wg 15 fuz.tz2dqw3ysibrium point is called thtszuf 3qz5 w1 2yg*wd.e

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemenz7 sy9vyeon0 8t on e7zv8y y90sfrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilt,u 7oa/ u3tcnibrium position, its ins 3ua, t7utc/ontantaneous velocity

  A mass on a spring undergoesmm1tfx1 psnnv8o. :x2 SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accex 1onp 8mfvt1x n:m2.sleration

  A mass is attached tonf,k;8w q ,bkk a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy isn kkk8fw ;qb,, a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A qtvolgn8961 z and B. Where is the mass located when itqtz l6981o vgns kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between po5vxear f:fb53j- i1p-o8 r butints A and B. Where is the mass located when its potential energy is a minimum? 8er-irub: pjbo5v31xff-ta 5

  A mass is attached to a vertical spring and bobs up and down beqva;8wb*f*u , pb2)hljo- azfh9qnh1 tween points A and B. Where is the mas *bhpnb29qahf fzl8w-;j*auv hqo1),s located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system x4 *(wjfi.uuuproduces what effect on the system's uuu*x4fi jw .(mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what e p1qzm,qnh8a1/o+maqm t/ y z*ffect on the syst,om1zz q*q8a/ 1+pymhaq n/tmem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-andp9 4fm2ha ulp6-spring system produces what effect on the6pfu4m lpah9 2 system's mechanical energy?

  A mass oscillates on t0 g7:th82hmj) xge uqfk4bt5 she end of a spring, both on Earth and on the Moon. Where is the period the greate0)emtbhk tjfs82gh45 : uqg7xst?

  Increasing the spring constant k of a mass-and-spring system causes what kind of 4f x.bas 1;etmt1tgwg,n/7d s change in the resonant frequency of the syst74 ;n g .wetss,x1ab/gf ttmd1em? (Assume no change in the system's mass m.)

  Increasing the mass M of a h0q 4u9qrj/jwmass-and-spring system causes what kind of change in the resonant frequency ofwj9q 4jru/qh 0 the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sp(wfawr8) o.hiring system causes what kind of change in the resonant frequency of the system? (Assume no other ch8o(f wrhiwa ).anges 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 4onx kw9 xg-m;h2 qpv;xpe6f) wqx h)2of length L. For this sk;phnvh )24m gq2xx6 )wq;pwf x 9eo-xystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the tifhj /5-2 xlxmgd )kpl*me required for one complete vib-dl/mhx*x 2pg)jkf 5lration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum , dbp(2n;pv pgha qx.v:, 8zghA is twice gp ;p2gh zxqp hv dab8n,:v,.(as heavy as pendulum B. What is the period of B?

  When the length of a simple peno pi6zmec h0;)dulum is tripled, the time for one complete vibration inpciz6;o0)mh ecreases by a factor of

  What happens to a simple pendulum's fq . linqgb9t99requency if both its length and mass are inc9q tqg.i9bn9lreased?

  Simple pendulum A swings back and forth atjtf4 o 9;8a c9gre.gs r5vsby; twice the frequency of simple pendulum B. Wv gsfg9ctsa;b .4o5 yjr9; e8rhich statement is correct?

  If you take a given pendulumml dc.hgphz y g*y5;:p7o-/sn to the Moon, where the acceleration of gravity is less than on Earth, the rpd p-z gh gn;.*/ho:yms5c7lyesonant frequency of the pendulum will

  Curve A in Fig. 11-1 represg/+ z/ci+to honh1- fnf :agjs87( rirents

  Curve B in Fig. 11-1 rrcbu8urb . w4st)n5pd4)plz 6 epresents

  Curve C in Fig. 11-1 represents5gobs ( 1j8loc/q3y/c(i gj)bxhc*v v

  For a forced vibration, the amplitude of vibrajvy7aq; k3vjsp* .ut0 tion is found to depend on the

  In a wave, the maximum disgeg8m4p p-o s eq7 x,g0:zwjnpua7p95 placement of points of the wave from equilibrium is called the 8xwp0sen9 g jumgo7p 4pg:5pq-a7e,zwave's

  The distance between successive crests on a wave i f 7clfo8,c4ygs called the wave's

  The number of crests of 4dh2vfmz9 s tk,nl+ *oa wave passing a point per unit time is called the wave'+*ond2hf9ks4vz ml ,t s

  For a wave, the frequency timeu:qx3 kvmcq ,4s the wavelength is the wave's

  The frequency of a wave increasesc8o q)l y41g4d803q pcw +f9*xytq puw fwuox). What happens to the distance between successive crests if the speed remains constant1pq)ytg83wlo4u0fp wu*8do qy9) 4cxxfwc q+?

  A wave moves on a string with wavelength l and frequency f. A second cfw0r957txp x 4uocz,wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secon4x f c7xt5wuor,c9z0 pd wave?

  Consider a traveling wave on a string of length L,fa/wx2h)avaj6mdp c. ; j+j4r mass M, and tension T. A standing wave is set up. Which4m ac/hr;a+ d.fja2xvpj6)j w of the following is true?

  A string of mass m and length L is und. v/ tgyj). x)jlbp b*xh,ci2yer 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 mass of the string is x.* v/,t c)y)xbhg ij.2lybpjincreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The spe.b9oew73n- j jioi 1/mz9o9 c;bbblv aed of a wave in the string is v. What will be the speed of a waveac .9 izljo3omn; 1bb9-v9/ijw beo7b in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is uit6-i2 ; cgqhgnder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string ific;h-2gg 6tq i the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through t )hll98lr,c. bca 6hsxhe Earth, the relative motion between the S wave and the particles ) lrl6 h8 l,c9cbxhas.is

  In seismology, the P wave is a longitudinal wave. As a P wa2uat1hp5z e:ry, -qca)o q/c xve travels through the Earth, the relative motion between the q12/p c xteu:-aq,croya zh5 )P wave and the particles is

  The intensity of a wav xtx/ :pkphvqh5*7pc:e is

  A wave pulse traveling to the right along a thin corbj0o*m87n-hhn 8zio xr z4k /sd reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the refb h48-*kmiz8 x0znn7oo srj/hlected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other7y9 .w*ctyn lzbbjid f7/o7/mw l3 y)y on a string, one is traveling toward the right and the other toward the left. At the point that they occup7ld7 foyj9bz c/n /ibw)myy twy 3*7l.y the same region of space at the same time

  Two wave pulses pass each other on a sqiohgyhx0 alm 9;5 22otring. 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 occu5q;2i2 xgyohahl09mo py the same region of space at the same time

  Resonance in a system, such a88n7()dy4xzya hfg ,obvfu2 is a string fixed at both ends, occurs when

  If one doubles the tension in a gp bf+.wzu50 dviolin string, the fundamental frequency of that string will increase bdzp+ 5u.0bwfgy a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a oviqfc*kd:- ox35/ rf mass of 0.600 kg is suspended from r vc3f* f/kd-o 5xiqo:it?

  A mass is attached to a spring o5d,b.llz wq /kqtn70 kf spring constant 60 N/m along a horizontal, frictiq50 zbt .w d,kl7nqkl/onless 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 amplitude?

  A mass is attached to a spring of spring consy3n, q;znt 6zau/ckszg4 0zd2tant 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 3z2nyd;zgz0akz/n6 ,u cqs 4ttakes 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 .y(5 yro mv0 e+r1uaxialong 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 frequenc e.v +ruyim0a(ro51xy y of oscillation?

  A mass on a spring undergoes SHM. It goes throug 0lcq zqa(m88ch 10 complete oscillations in 5.0 s. What isclq(am zq 088c the period?

  A mass vibrates back and forth from the free end of an ideal sprx0v- 3 panzj.fv:n-p bing of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.zvp: -vb- pjn.fx0a3 n30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spj e,hu8l+u +:sinbqg5 ring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simp:u5 8i qelj+nsbhug+ ,le 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 timenw+*9(g a ;26lxn4idz imvcm l. The mass is cut in half, and mn6ag9 iw;l+idmc (2z n4vlx* 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 cons ejb1g/ d*3mm5,komtb tant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 3 d5mm*etm/gj1b ,o bk1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sprin 3c-0/ hdzczlbg 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/cd3 0 -lzhzbc 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 horizont jmv wd5lebwvw*2a83(al spring of spring constant 50 l*mwab(8v5 vwjd w3e2N/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 c g4ds0jg hs4,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 energyscjd4g 0sg4, h of this system?

  A mass vibrates back and forth from the free end of an ideal spraviwpg4iwfdm.a)j mg(*.. 6(- rm xmsing of spring constant 20.0 N/mirjvi) mw (a-6 .*g pxms(g4 .famdwm. with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is ig c t,xih1tux2s): y0displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is ob, )1iyi gst0:2huxtcxserved. 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 spri4vv omlwk 8)t9ng of spring constant 10 N/m. The object is displaced b94v8)ol v mwkty
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 co7-r5x e/vg nxw;4ryzanstant 10 N/m. The object is displacxg-w/7 r4zyen5vxar;ed 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 sprim7ljm ka+x/s7qr bincv.fzj,x( :j(( i x//mmng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequen/jjn r:xxf/( skj,iaq/ml.xi bzmv7c ( m(+ 7mcy of its vibration?

  A mass is attached to a spring. It oscillates at a frx: maesfzl4 (:equency of 1.27 Hz when displaced a distance of 2.0 cme:sa z :(4mflx from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Ma+1sngf9bk: l0ozyy 1 zss 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 +ykg 1f snbl0y o9z:1zHz. 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 th7 d26f b3eop9l+e2 mpr uct7l (g6povze mass stretches the spring 2.0 cm downward. The mass is then pulled an advrelopz62gold 2 f7m3 9pbc7 6(tup e+ditional 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. In equilibrium uakelk3d9y9h08t3ms g99zld the mass stretches the spring 2.0 cm3mhl3ztk9u9dg 8y99 ad ekl0s downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibriu9gx)vdh3 * *leqqep+ rm 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 d3)q*h*9pvleq ger+ xrest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position veg bonc,,0m-( fru;irxrsus time equatio- gior;n fxm(,0c ,brun:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followinaqs,lbel ;0*f*cwx, bg position versus time equation:ql* bf, 0 sebca,;*xlw
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonizlwc/a-3o wf ;c motion obeys the following position versus time equ3a;-fcl wo/z wation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of abn,f uc xn(g*ai.8w2c spring executes simple harmonic motion according to the(wcub*i g,na.f n cx28 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 jt zs2 s h47s:w 1s:0hqhkys9; cmvn6son a horizontal, frictionless track. At t= 0, the mass is qyj2 cms sk:wz09:shtn 6hss174h;vs released from rest 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 inx3roqfjo dc40( qr4t/irv 0d+xfs,x ) 8.0 s. (a) What are its frequency and period/q4c3 0r)x o i+ovf(0sd4 xtd rqxrjf, on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its p +ucw6az+v/ur 6 st+ 2ke: trtbulby,/eriod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ityrej3y3q(a t /he;9j9ztsmpd 3b gz)4s length?

  The pendulum of a grandfather clock is 1.0 m lo 2dh*tth+ ua:rne k:l1ng. What is its period on the Eare:d +trkhhtaln:2 u *1th?

  The pendulum of a grandfather clock is 1.0 m long. What p nq 1s2xrg(x(oo a 6nap6dj2.is its period on the Moon where the acceleration due to grax an2p(6n6.d 1og pqx2sjro (avity is only $1.7 \; m/s^2$?

  A simple pendulum consists8;+h qgas6b81l9 e8 gvpie pk:sr+kpcg-- did 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 frequencyigd+r v6hb+qgd 8slckp88e :ea-p- ;gkis9 1p 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 +lz.tbvh ;h6s) jzy*h,r xzn.displacement of 8.0e. Ib.nvhl z6,+ ht*jz h)zr;.ysxt 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 wave at a given time. The frequency ofjn)p j/j7 i:iymzwo;3,/v:tle( )za +qkf wmt the wave is 120 Hz. What is the amplitude? /,k;iz )vfl tjnq w/atzj3)y mep+::iwom7 j(

  Figure 11-2 is a "snapshot" of a wave at a given time. Td se3cs:6ld7o8u e)gfm,s :m6 mw cj+ohe frequency of the wave is 120 Hz. What is)l7df om c:oj s c8m6m3e ug,sdwe6s:+ the wavelength?

  Figure 11-2 is a "snapshot" of a xe.7x*(rcbta wave at a given time. The frequency of the wave is 120 Hz. What is the b(xe7.art xc *wave speed?

  What is the frequency of a wave which has a pbko+,bnsl k 340dg+xzwc :o yw( q70qoeriod of 6.00 ms?

  What is the period of a wave with a frl,l zglsc l11a-(i4 yjjfv cb3()x x*yequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz clwx+ gow/jg28tr;b 8 and a wavelength of 3.0 m?bcwxj;2/ t8l8 r+ogwg

  What is the velocity of a wave that has a wavelength of 3.0 mz,j.8c(. fyya.htei +jieip, and a frequency of.y feti+c.8 a ej pii,yz,hj.( 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/y+:vy,k jzzy-rx :3 sw;wg0wgs?

  A piano string of linear mass density 0.0050 kg/m is under a tensium.vdq/,1sb )iicr5s)t,bmw b,h shjkh9* -n on of 1350 N. What is the us-k9 * bi1rq,s w/)cd5jbm,h, thmihn)b.s vwave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thelmi s8n)fq54m velocity of propagation of transverse wavem iflsnmq548) s along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire gp.lr7c7ruak.d a c55whose total m55r d .klar pgccu7.a7ass 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 t99 zg0pz:ups il1c y+aransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whgapy0z 9 9u1sczlp+:iich one of the following is not a resonant frequency of this string?

  If a guitar string has a fund2* 5pon0n 5ekrjf4uv mamental frequency of 500 Hz, which one of the following frequee50 ok2puj*mn5rnf4v ncies can set the string into resonant vibration?

  A stretched string is obser8* cro+5qcn k xdv-5fxx(p 4mxelr)f 6ved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five xxxc*5f)v (5c n rlxepfmr+q-o 6kd8 4equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz w 2eae0p o48 ;amd.veopith a standing transverse wave pattern containi.o0p e;4mveeo d8a2pa ng 3 loops. What frequency 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 of 20 N. What d p,hl rkt1,r:fz sz;w7(e8nushould its length be if its;d n1,z7f8 zsue :pr(htlr k,w fundamental resonance frequency is 220 Hz?

  Find the first three harmonic1e8f*g mrvri8x-l aw 0s of a string of linear mass density 2.00 g/m and length 0.600 m when itmgw18- a*frelx 0rv8i is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the strin2wsu9zvg v:l,g vibrates at a frequency of vg,sz :v9ul w285 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.