The time for one cycle of a periodic process i/rt,r.d4nm9c 8l 8g2umxeqxu s called the

  For a periodic process, the number of cycles per unit time is caluaa:i/)obl3 x led the

  For vibrational motion, the maximum displacement frhw: p8wq8l9p 0tqfn-z om the equilibrium point is caw:wh0ftnp qp- 8zl9q8lled the

  A mass on a spring undergoes SHM. When the mass is at its v4 q2a,h t;:j mwlogh0mfpu;8 maximum displacement from equilibrium, its instantaneous vel w0o,a 2gfu;8pm4 t;qjhlh vm:ocity

  A mass on a spring undergoes SHM. When the mass passes through thettbq ; j/9r0*5squxi zd :km5 f5dwm1l equilibrium position,5 /dtbm:i 9 uzdrm*5fwxtkj1;50qql s its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displaxcfodm94* o+ccement from equil9o+cc *d o4xmfibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pdwz )i2y39 f)sfysg8eoints A and B. Where is the mass locateffd2 )gs3zy9e)siw8 yd when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poi tm0/shidtsc3y7s(fys 4w (a:nts A and B. Where is the mass located when its kincsh7wmyi ft ty/0s((s: ad4 3setic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down buvb ts9: r1,osetween points A and B. Where isb91v ,:oussrt the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spr. on4,c z-hwv tnbc)9ting and bobs up and down between points A and B. Where is the mass located when its potv hb-w4 oc t9nz,)tc.nential energy is a maximum?

  Doubling only the amplig i5w z+lk2uuh +y2xzu4w78r ttude of a vibrating mass-and-spring system produces what efg r tw2z5hz2kx84l +iu+uu7wyfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring syxwcq0(mbs; evexw97/ stem produces what effect on the system's mecha; wvs/x 0bmcqe9xe7w (nical energy?

  Doubling only the spring constant of a vibr1uhh:1q qbb7-hv- glr ating mass-and-spring system produces what effect on th-: v7bu lq1q-h1bhgrhe system's mechanical energy?

  A mass oscillates on the end /uj a3-v qkm/ryk,9mca8mpgq67 e1ocof a spring, both on Earth and on the Moon. Where is the period theacavg-yj3 /ou6,87mqrqec p1 m9km/k greatest?

  Increasing the spring constant k of a mass-and-sp p,kyt d8mkpev72yk53 ring system causes what kind of change in the resonant frequency 7p,dky 28kepvy k3t5m of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system 3r o:o7upkd4sz y:d *ucauses what kind of change in the resonantood4pu:3z7:dsuk r *y frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mt(8p 8xcnpgs3o0 e st,r0lxn1hh k00pass-and-spring system causes what kind of change in0n0spxenhs3p,oh g01cxt 0k88t p( rl the resonant 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 att5pps+agsgdup, p q,d * i:f)7bached to a weightless string of length L. For this system, when unfa *pqpsd7)bi:,u s 5g,pgp+d dergoing small oscillations

  When the mass of a simple pendulum is tripled, the time reqpu0saa g iy,pi*;0jm9d5fi)t q8 0 uqouired for one complete vibrat ;o0m9pf* iq)yaaj5q8sg p00tii, uduion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulu+ 6uwg /hzlaam2edbn 6d.(df 3.bqxxjlg- b//m A is twice as heavy as pen dl/ ug3(bxzd//nmlf b2w+h.j6bdg- e q6a a.xdulum B. What is the period of B?

  When the length of a simple pendulum is tripled, t 5juur)ex;os (*va4 cqhe time for one complete vibration increases by (u;jrxvq) 4oes5*uac a factor of

  What happens to a simple pendulum's frequency if both its length and masntet01sw( 648z vbgunteo28cs are incren n16tb ev 8u4z0tg (wtc28oseased?

  Simple pendulum A sw u7e ;dl22d3nlq: bg:k,mnqicings back and forth at twice the frequency of simple pendulum B. Whid:2l:;,cek 32dlbi qg qmnun7ch statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravitd68-lxmnz4 ch y is less than on Earth, the6x4 mchn-lz8 d resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rs(c(4txiz (u u9lq0,hos (xzcepresents

  Curve B in Fig. 11-1 rew g( )uyv-sdoe*+ :kknhvj9d5presents

  Curve C in Fig. 11-1 represen*yi (dkh :w hd8gmzy,03fe 1dfts

  For a forced vibration, the amplitude of vibrationf8ph 7wsg t72gn8fmg0i h d4)w is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium iwmx,hgdqv/ cnd1 3k1+ l oeg6-s calle1lko g,1xh dndq/e3wv 6m+-gc d the wave's

  The distance between successive crests on a wave is called the yxy3tl ur+yc)x ;of2:u7dol/ wave's

  The number of crests of a b1x: ko /b*p0b3 cydkawave passing a point per unit time is called the wave'*k01y : k3dc/obxpabb s

  For a wave, the frequency times the wavelength is the wa hizc r,1se*-s/w m7fvve's

  The frequency of a wave incef9bvw6n ysq/de8k glv0-c*v1j; m ) breases. What happens to the distance between successive crests if the speed remains /b0 flm 8)vg-v1 *b6vd9k;e ewcjsynqconstant?

  A wave moves on a string with wavelength l y;i:heyh pjl m-,wj/*and frequency f. A second wave on the same sj, hwli y/pj;*my-:e htring has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of le4r.q a url4p1oyk7q*o caf02o ngth L, mass M, and tension T. A standing wave is set up. Which of the following is tr*cqoroqpa2k.4l f7ro 0yu 14aue?

  A string of mass m and length L is under tension T. The speed of a wavpz ef)4x7/gx lnz;xt8w d y5,ze in the string is v. What will be the speed of a wave in the string if the mass of the string,z5z z8gyx/ 74xw;ft )nelxd p is increased to 2m, with no change in length?

  A string of mass m and length L is under tusn;m dg9d /t*)1am jqension 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 ist;mm un )q*sdd j9g/1a increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a :izss- i93z+z vi9uib5zsdu4,j8ztxw ;fps )wave in the string is v. What will be the speed of a wave in the string iiu3pszt9b:;ifi - j 5u8)i4z,+9 xzzwzdsvss f the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wavd.s b7z:vwfaxuu *95lcap ) j-l*gs7q f/g.ioe travels through the Earth, the relative motion between the S wave and the.ubus*qf -fdoa75xaz9.i s v l*p :wjc ggl7)/ particles is

  In seismology, the P wave is a .oizrp*(w:vkqxe:22+wi1hw * ;xph w5b njzolongitudinal wave. As a P wave travels through the Earth, tznw*ob.2 ;xi1 wz xprq wp+ o(vk5*::weh2hijhe relative motion between the P wave and the particles is

  The intensity of a wavejt .u7,emgw+ydx 2s*l-v 1fg r8sdr 1f is

  A wave pulse traveling to the right alon;d):fh7t f v.h5m*qf+o* k6wayaj u emg a thin cord reaches a discontinuity where t);qahm7j mv5kfoffa . ut*h6 eyw:*d+he rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other orj bv.-gel/* mke ,5)ga6ld eg;.nxf bn a string, one is traveling toward the right and the other toward the left. At the point that they occupy thgg5m.j),*.e a;f gbx/en l6d- brlev ke same region of space at the same time

  Two wave pulses pass each other on a string. The one trav ykf.;t zhk.61he6uo jeling 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 occupy the same region of spaj oh uhkt6y.k.1;f6 zece at the same time

  Resonance in a system, such as a strin h;3w,nlp7y wpg fixed at both ends, occurs when

  If one doubles the tension in a viols:dplvwt9 l0/ )d7fql in string, the fundamental frequency of that sfd07/)p tw:9 lll vdqstring will increase by a factor of

  What is the spring constantjsl) 4 a(k lc s8rj/lqln6np,4 of a spring that stretches 2.00 cm when a mass of 0.600 kg is qjr) /l4,anljl48lsc (6n kspsuspended from it?

  A mass is attached to a spring of spring constant 60 N/m 0vapsfpln;:/ c-afxw*k* ot7along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass vf-fl:*a ws0pt*cx7k o/p na ;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/m along a horizong o7oe+i )r;iytal, 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 positrogo+i 7iy); eion 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 horizo c0meu:67rnjmntal, 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 equ:7menmr60 jc uilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes Sru 3)wwx*cr jc*tosuaz.40z- HM. It goes through 10 complete oscillations in 5.0 s. What is the periatj*)w.s4uwz u rc r*-30czx ood?

  A mass vibrates back and foq pt/l4+l k3 56hda,vhx 7i zexizy7t7rth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinevqlzz7 t7pe65d /3ah,x+ih xk4tiy 7 ltic 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 sp3zd 6x2a7deuewd;e7d gyj ,6fring 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 x; d6,u7w36dz7y d je eda2egfthe equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitudh19kwmj z b x:+inwf d2)yl,0pe of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion 02i+b, yzxj)kwpdh : nflw9m 1with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a s2*flgz k kl*va) *czvx yl.4k4pring of spring constant 20 N/m along a horizontal, frictionless surface4k *4*2l*x lz.y fvgz la)kvkc. The object oscillates in simple harmonic 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 uuf 59.xfmwb/k1 gw0i along a horizontal, frictionless surfa1 f ikfx9gmww /0bu.u5ce. 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 e ;*et*y zga xe-6ht9uspring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechantu*agx;eh - ez*t96ye ical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring const:*noaf s0auwn7j7 fo /ant 50 N/m and set into simple harmn*:uw of0 a7o7sjn/ faonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spri vigx 4l.)2g fj1hr6.km+xexlng constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibjexm.v xf1l )h.gr 2lx +gik46rating mass?

  The mass of a mass-and-syya33 4 tpihpzkh75 (tpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. yp3 5yh a z3hkt(i47tpWhat frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached mffm/)3wrimmp fk av1 x6l /..to a spring of spring constant 10 N/m. The object is d//xmkw..ifm6a 3ml1vrf) fm pisplaced 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 10s .-5+6vxe pco dbo5fn N/m. The object is displaced s+d xb6-5p.necovof5 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 spriry3ty pf)1(z o(n0mbm z0t6ys ng of spring constant 18 N/m, displaced slightlymnb0m0pz1r oytt sy()3 z6 yf( from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. k(z, je2hp,xnrn3, nb5q ha7c,c,jvx It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrek ,vc,n2jxr b7zjaqh ,,n 53h(x nc,pium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springom nyyb k67++rs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitmn6 k+y+7 robyude 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 sp om177kuosdv3 ring. In equilibrium the mass stretches the spring 2.1o7vs md 3o7ku0 cm downward. The 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. In equilibrium the sl +2rlze3 cv-k.: vacvb7-du 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 +cub2vld: e3.akv- slz 7-vrcof the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretc:xuxy zzxdtsxl67.q hiawj +7 2v)l 55hes the spring 2.0 cm downward. The max: 2as wvy.qx 5lxuh5)z7 +x t6jl7zdiss 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 following position versus time e4q- iudo;ix7 c lowl15quatiodi ;q-cwoul1745 ixl on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posixo0 ()4xy p)/ho jzdh4thsfr,cqk 1y0 tion versus time equat)kz( ,fqjx1yhrd0hoxcoyp4 /)t0 s4h ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple tm l6ye.;;nsw :los lo:+a5c sharmonic motion obeys the following position versus time equation:5:y;se mao;:llsco nw6t ls.+
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic z,;pmorp4 m6ai7n h jll 4,s0fmotion according to tihp,, mlfj64zo ma7s0l; r pn4he 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 w1ph.pv4wj+,b:ebc 1k re jyt3ith a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from restpy jt:+er.bwek31 1pb4 ,hjvc 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 8.0evv7fl f: lrzp2;1k 3r s. (a) What are its frequency and period on Earth?;lvr:ev l2z7ff3 1krp

  A 3.00-kg pendulum iszoi )q,o az+o1 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. q8 /7zwza hu5viqxp ,5ps3 abb5yc*t2What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is qq4)(de iayn+o ( 8-vewpu e.hits period on the Ea.oeean+dypiw-( 84 )uveq(q hrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its periovblrp7w n. + pnr5qrj 7+rp7j(zh9ta;d on the Moon where the acceleration due to gra 5qvp j7+r7bn ;lahpwtpzr9rjr+. n7(vity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-k tr.fn:lds*p 3 zxfa;141 cfahqj0(reg spherical mass attached to a massless string. When the mass is displaced slightldz 3r0ech1tq*a.sf(;l:1 fxa nr f4pjy 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 (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angul; :oys11v 9j2inpw dcjar displacement of 8.0e. Iw21j vopsi9c 1:jn ;ydt 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 of the 6e/.m7xx5xle s16 cmtka: xdswave is 120 Hz. What i/xd7e15m6x 6x ackt sx.ml :ess the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the;1tuk, gh / akaxtzm;5 wavez at;xum51a kkg/;th, is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wr6z 8d edl:vt)es5 -epave at a given time. The frequency of the wave is 12 s5ve-zd te:l8e6 dp)r0 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms3p*xlgy aqr:1?

  What is the period of a wave with a frequency of 1500 Hznjht((ej)0t mg6 r2 plab5;ry?

  What is the wave speed if a wave has tq-yp ch4 :f4o7r pzy;hsl7d/ a frequency of 12 Hz and a wavelength of 3.0 z-hpto;s7rf hy4l7/:p4 c yqd m?

  What is the velocity of a wave that ha yt)0c vtnswj.a+dxhi1)a(xla *0am 6 s a wavelength of 3.0 m and a frequency of 12aa10+jtt * wd)(6xy.lav0c xsim)na h Hz?

  What is the frequency of a 2.5 m wavs jbjn )/97fdde traveling at 1400 m/s?

  A piano string of lin7f+ 4)wz +plc t ulgyn y81c*3h-wggmyear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wa 7hgym+*+cgw-ptg z l31y8c unlw4yf)ve speed?

  A string of linear density 6.0 gmk soomln7d:ee6 w/ ey/2hf 8cs/k-7x/m is under a tension of 180 N. What is the velocity of propagation of transverse waveskfkw-yo/6dne h7me2 7m /sxs8 /lo:e c along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire who r6xt4kh:l l8uoev*i +se total mass k o :r+h86l4uxit el*vis
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 traj( j(ff ith(di3mo vwdhf,+ (/nsverse 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 dd jti ((vw,fj ofhhif(/+ 3(mfrequency of this string?

  If a guitar string has z(i) 1huk8y poa fundamental frequency of 500 Hz, which one of the following frequencies 1h py(z o8ku)ican set the string into resonant vibration?

  A stretched string is observed tyy3vw.4l0yg *na ngio a1xq 9(o 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 equal s3vagylno91 w4 gn .*yi0xay q(egments?

  A string, fixed at both ends, vibrates u1) injeq-lzy,wm1/ p :ki1yyat a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Wzi1,ym )eynyiw1- l/uj1k:p qhat 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 shouldj6 io s9a7x)fo its length be if its fundamental resonance frequency is 22j si )o7aox9f60 Hz?

  Find the first three harmonics of a string of linear mass density/ hr;:sy fets(z-vr/read-r ( 2.00 g/m and length 0.600 m w z(se r-/h;vay-tesr:/d(f rrhen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fi4c +zjxjr)p),af9 wxz c*0xmyep 6 n3mxed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five looj6x*94c panwx ,pz)0mey)+f zjr3 xmcps 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.