The time for one cycle of a periodic pe;e8 jpw228dfnly4porocess is called the

  For a periodic process, zfg :kfqt; q)9the number of cycles per unit time is called the

  For vibrational motion, the masmh/k4z, crla x82u+ beo (pz.ximum displacement from the equilibrium point is called th (2slrz/u8, kbm+zx4e cha o.pe

  A mass on a spring undergoes SHM. W ,c*ovo2facry,0 uvy3hen the mass is at its maximum displacement from equilibrium, its instantaneo2o 0uya*of3vy,,rcc v us velocity

  A mass on a spring undergoes SHM. )7jk (cnadlv) When the mass passes through the equilibrium positn d)jkv)cl 7(aion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at max4lyz)qf 5*xp0,sumum8ke 2 ebimum displacement from equilibrium, its instae5quf4 2el*b z8m),skyu0xpmntaneous acceleration

  A mass is attached to a vertical spring and bobs up and 2meo,q1vdy c*down between points A and B. Where is the mass located when its kinetic energy is acveod1y2 ,qm* minimum?

  A mass is attached to a vertcdmg s0 r;:.kaical spring and bobs up and down between points A and B. Where is the mass;dc: 0msag k.r located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dowz7y,b)n5 yue fk4v8mun between points A and B. Where is the mass located when its 5fk)yy,z n47 uv8b muepotential energy is a minimum?

  A mass is attached to a vertical spring and bobs un tbq7b1 .4 lzj5l*uorp and down between points A and B. Where is the mass loc4jo rnlt.zl q5 *bb17uated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-a2ecd4m2t- xc,ahjnw4 /odod5nd-spring system produces what effect on t/2camxe4od2w j-,do t d4ch5nhe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spripm gg (pawocv c(c7br0p:ek9h +1:e5png system produces what effect on the system's mcg (c pgwbaekh 9r1:op0c+7(:m ppev5echanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system a uw4c +kpldw1: rq9e f,l;qb;produces what effect c;k,qw1beq4aw +rlpd:; f9ul on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wheo3s 3q6ikup ,:v 6ieub4vq*v pre is the ukvu,q3oqei 46i : v s*3pbpv6period the greatest?

  Increasing the spring constant k of) gg( akwsf1iv j0-2x*+hgehj a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chanej1-hv jw (x0s +g2khigga)f* ge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wha :y*u/h6cf 5rcgnfzp tp5:c z.s.nq /bt kind of change in the reson .6ncz/ctp zf*hfuyc5q: /r5 g.s:bnpant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sy /c76o5 cywynkm3 bff..y qm(rkm ,9xpring system causes what kind of change in the resonant frequency of the kyw,c36rqx5nb y f(c /7oky.9fmm .ymsystem? (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 attachu x5jx oe*c(q-ed to a weightless string of length L.- q*jxocux5(e For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, thm)w d2was8b 6ye time required for one complete vi)m2d86ysaw w bbration

  Both pendulum A and B are 3.0 m long. The pekxf4:*hovs tqw - ,.zxriod of A is T. Pendulum A is twice as heavy as pendulum B. What is t:*tv4hwq .z-ox kx, fshe period of B?

  When the length of a simple pendulq)we4 qd5 4frna:*fqeum is tripled, the time for one complete vibration increases by a5eq4 *aewq):f qfn4dr factor of

  What happens to a simple pendulum's frequency if both its length andm.3,1w17t u qa7emlpz wcor5 a mass are increased?pawr 3m u.1 lemtw7oza1c,75q

  Simple pendulum A swingdm2 vw22;dsx ;d1n7d2p5o nam oxps6gs back and forth at twice the frequency of simple pendulum B. Which ss6nd2 gs 51 mpvd7;n22;2dx owpxdma otatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is ldb we-f)k *kiu84ct0y ess than on Earth, the resonant frequencyk* i)4f kt80wd -yuceb of the pendulum will

  Curve A in Fig. 11-1 reprk xoq3t1c u*5(v( hlfk8hdso ;esents

  Curve B in Fig. 11-1 represenqo( u+m heh9jnrk7pay7o/lo i tp721,ts

  Curve C in Fig. 11-1 represenius3z2l*zbo o 4,, ybkts

  For a forced vibration, the amplitude of vibration is found to de5;f7vd m+z.zvp j nef.kzhm93 pend on the

  In a wave, the maximum displacement of points ofxvz.kh. e ux ,d2p.glu9 b,c6y the wave from equilibrium is called c ,..zkuxdy2 hgx6 e.b 9vl,puthe wave's

  The distance between successive crests on;gp). ji3 l w,,zesjjr a wave is called the wave's

  The number of crests of a wave passing a point per unit time is 7gru) jr7 rfv/called the wave's j7rv7 /rufg)r

  For a wave, the frequencybnn-diz:d)jcy; y1 j1 times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distq5bgiphz f ma cjzprc 2)li82c)n4;2*ance between successive crests if ;zag cn)i j*)5c42pifz22hlqpb 8rcm the speed remains constant?

  A wave moves on a stringm da/bs)+w +zk8 ju;tjsi )m,b with wavelength l and frequency f. A second wave on the same string has wavelength 2l mztumbjdswi,+) 8 ;b/s ak)+j and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tkn5fo(ep4x 78kx4 ov axwck63tca/i/ ension T. A standing wave is set up. Which of the following is//kox(ao48 7cxne6cxt4kak3 v5p iwf true?

  A string of mass m and length L is under tension T. The speed of a wave in tu-e p2no ) ;5h8forwblhe string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, withrobh 8l2onp u e;w)f5- no change in length?

  A string of mass m and length L is under tension T. The speed6+k4w)p w-qylt6o,gock zbf * of a wave in the string is v. What 4b6oczwfgk 6py*-owlt qk),+will 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 Tvg8 iyk8c5p/: jo8h6gyrc8vo. The speed of a wave in the string is v. What will be the speed of a wave in the string if the teo/kg6 c rp8 c8o 8jyg8i:vv5yhnsion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through sbkc t0t55n6g the b6k t5gsn0ct5Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a lobvk *(nv so8vmp /7:4rsymo)kngitudinal wave. As a P wave travels through the Earth, the relative ( /)oob:m8py knss7kvm*4vr v motion between the P wave and the particles is

  The intensity of a wht9vl,9 *em bdave is

  A wave pulse traveling to the right 9*d;pigojs2pw4r3fy8 ; p nqialong a thin cord reaches a discontinuity where the rope becomes thicker and heai8wg;p ns;pfq2ry934 pdj o *ivier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, one;qp9fl2z o b)djfx; o4)p5k pj is traveling toward the right a4fjxzpf) ; )l2qk9p; b5d ojopnd 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 travei1ka+w 5yy 95oq(4 xqus zz2hpling toward the right has a positive amplitude, while ta 4 2+1k(yq5z yoiq5w9hz psxuhe one traveling 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, such as a string fixed at both ends, occurs whlj7(wme k.3f qen

  If one doubles the tension in a violin string, the fundamental freq okgty jwbj(ru ;-*a09g7 s8aeuency of that7t09eabjk( y ;ojarugwsg8 *- string will increase by a factor of

  What is the spring constvz).njp .fi9 ebd0tz6ant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from i pdi.).6nbz9etzf0 jv t?

  A mass is attached to a spring of spring constant 60 N/m along a horiz 2(fm)ts4bum aontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mbu m)2 s4atf(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 z+or4nohi) i8 constant 60 N/m along a horizontal, frictionnzro48) iio+ hless 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 horizontalt0f+q *7 st(k0(quvpay n+dew, frictionless surface. The spring is initially stretched by a (q0 tv*a(dfw7k u+p0n+t q syeforce 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 SHM. It goes through 10 complete7pst;id: q;gi: ncfe8 oscillations in 5.0 s. What8 eci:;gfqds7pt;n i: is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring co(b,b5zen, up(k20 xetcqji t/nstant 20 N/m with a,bb (,nqk5cep tj ex0(2uti/zn 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 spring gv26qqzz mz/e j -ni4)constant 20 N/m along a horizontal, frici4)z/n-z26 qejmvq zgtionless surface. 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 ampliob 1bu jivlq-dg:k no)u83*q4opru1;tude of 4 cm. The energy is 8.0 J at this time. i-gdjuv 11uo*b3):n oou4; r k8qqblp The mass 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 attw w/ia t8p0oiwl (-y3nached to a spring 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 equilibriuy /-wawin8(tl3 i0wpom position. What is the amplitude of vibration?

  A 0.50-kg mass is attached :glfmu56ov 2ive4 +kito a spring of spring constant 20 N/m along a horizontal, frictionless surface. The objectk+ i :gl2ivfeoum54v6 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 oxyv:p(/cdywew35*tb y o.cb-f spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the t wb ewd. voyyc5: 3tb*/yxp-c(otal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring co:w 2i.e:b1tvyzj :joc8d4zezf 0g 0ci nstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tot04jbz eyo ei0czfjc. t: 82gizv:w1:dal mechanical energy of this system?

  A mass vibrates back and fog xpkty/:(gam9npc9 u 2cud59rth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wha2(g ag9ncd9ypcx5u :t9k/ p umt is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 c . +5,bb0vkxjg1agarym 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 cm and then relb.g a yxa51br+0gkj,v eased?

  A 4.0-kg object is attached to a spring of spring constant ty1(nohj28; epq7vfb 10 N/m. The object isybt(8p;v n7qo 1jfe h2 displaced 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/ wi(obwjo) ttev0nq k/t *4qkk3ar ;+ a spring of spring constant 10 N/m. The object is displacet tq4e/;nq*raj3 0i o()tv/ kkkow+wbd 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 dj a 3alam(.1yN/m, displaced slightly from its equilibrium position, and released. What is the frequencl maa3(a d.jy1y of its vibration?

  A mass is attached to a spring. tk0,2c gco6ecp) k5vr It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximue )6kcc,ogv5k 02rtp cm velocity attained by the mass?

  Two masses, A and B, are attfbo6yo b3ittxv;jg ;0pdkut 3z 7x50 8ached 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 of 160 b6gxt0;buiypt35kv 3to8zx fjod;7 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 stretch3rmn/o/ tucb)es the spring 2.0 cm downward. The mass is then pulled an additional distance of r)cbn3 / /uotm1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprgz c+ldg4am.g7xd82j ing. 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 .ajlgdc7g 42dz+xg 8 mtotal energy of the system.

  A 0.30-kg mass is suspended on a s x bjynkqzu4319. ztm9pring. 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. Write down its equat.yk9m3 tjxb1 nzu49 qzion of motion.

  An object in simple q a9 :e5)sdu eqzj9v4noe1d/hharmonic motion obeys the following position versus time equation:uv1z/)sho 94e edqe9 5qa:n jd
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timh82 ndkrec 7 v-e;dwg 5d6r+zie equatcig7rdne 6 -vh2k5r8w;+zed dion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fg3oo55kd(7gr95ao.mjma ga (gos* qiollowing position versus time equatio(go*om97k5go .magai5do3q 5( grj asn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free en5x sdwp,y4/; iy q(havd of a spring executes simple harmonic motion according ;5iv(4hpw y/xa ,s dyqto 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 oscillam04un7 m tp qvnc7:2ybtes on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is s7n0p 2vt4 n7c: yumbmqtretched 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 v;n q3/gsds:3f4)fksa pgqm w 9bah:+. (a) What are its frequency and period on Ear/;bf g v:4qsp9+fh kn33:aaqs sm wdg)th?

  A 3.00-kg pendulum is 28.84 m long. What is its perioem+ /uuv:q n7sm,a on1d on Earth?

  A pendulum has a period of 2.0 s on Ear+8hlxamt mlpf4 3d3la;)ir :zth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long.fql8om+db uoc r- l8)6 What is its period on the Eartd8+bq-m llo6)c ou r8fh?

  The pendulum of a grandfather clock is 1.0 m long. What is67-9b*b sw6g bgemdyq-ofy +h its period on the Moon where the acceleration due to gravityb omsgf+*e -hd667qbw - bygy9 is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass s2.*v131x tkhs eyxx*h zwo3uattached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings bach *3wxs*.v3k1oesx xh u2 tyz1k 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 coptfjhzo .8 ;d2nsisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a od8.pfh; z2j tperiod 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 th p26i4d de4.hzb .fsbwe;ot( yi(lk, r-kmg 6me wave is 120 Hz. What is ti zw6k(4 sbbm;2pk, ity4l.eo(6 m.defg-d rhhe amplitude?

  Figure 11-2 is a "snapshot" of ax u/7j *9iy 3jtrz6 mm39psejh wave at a given time. The frequency of the wave is 120 Hz. What is the waveljz9/mis6 *h97 ej mj3pxtru3yength?

  Figure 11-2 is a "snapshot" of a wave at a given timeew*lhd z; -m2h xktur/ imu8q-.* 4xrn. The frequency of the wave is 12 4dxm8.;rrx*muh2iwlq* - t-n /ehu zk0 Hz. What is the wave speed?

  What is the frequency of a wave which has a periododm47x0 mis5s of 6.00 ms?

  What is the period of a wave with a fa ,m3zu ,nj)nfrequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o9:e;,l. cwtxznw:6v2r ,hc rp f,dsadf 3.0 cnxer,d6afwvztr 9:c. p,: wd ;lh2s,m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency y92 unl v57h)a0v;r6sh foab bof sv967r ;au2o a)nyhv5lb bh0f 12 Hz?

  What is the frequency of a 2.5 m wave travelin jao p605cs1, .bz.yfgu- ;qbuncq8big at 1400 m/s?

  A piano string of linear mab) i7.o,raryr ow 0j7wss density 0.0050 kg/m is under a tension of 1350 N. W r7,ij.rbw7)o0ow ray hat is the wave speed?

  A string of linear density 6.0 g/m is uqqurt8r .pfho i2-;,wnder a tension of 180 N. What is the velocity of propagation of transverse waves along theo-qfh p qt.r2r8wu, ;i string?

A wave whose wavelength is 0.500 m is traveling down a 5007x *k;ay3tzyk*bysg3na9 j 3 a m long wire whose total mass ksj*7x a*3 z byg 3;ka9n3yyatis
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 wave on a 2.0,vr(1lt w-udn -m long string fixed at both ends is 200 m/s. Which one of the followinuw r(d ,1t-lnvg is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the.,zv(yqse, 95f 8sf y ezn)dse following frz.5 se ye sfe9dvy) z8,q,ns(fequencies can set the string into resonant vibration?

  A stretched string is;if*;3t.j e3xkk/ zi t0fymye observed 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 fie 3xt kyyte;03mfkj /izi*.f;ve equal segments?

  A string, fixed at both ends, vibrates at a freque )vy9w6h-owuql6+j cnncy of 12 Hz with a standing transverse wavw6cw ln u6h9 qovj-y+)e pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 cqu3+*j ze,fnj+jh+ r9 g) ujyg/m is under a tension of 20 N. What should its length be if its fundzcj ur9g*fu+ +ehqj,)j jn +3yamental resonance frequency is 220 Hz?

  Find the first three harmonics of a strimwfvtz 5:m4 hr((rivs,a4fa/ ng of linear mass density 2.00 g/m and le4vfzv( ai rsmwm frha:t,54(/ ngth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fi8, nepma5e a5bnbo,i6x9k7tpx9w/vyxed at both ends. When the string vibrates at a frequency of 85 Hz, a siw9,x6 85 b7 a5exv9tb anepom/ykpn,tanding 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.