The time for one cycle of a pmo7b/ rn,w 4jieriodic process is called the

  For a periodic process,+d3272csgx fq e -dddx the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement fr :lxa00(i.v 4g3:g msdwk qybkom the equilibrium point is calledgaiwkg( :3kd4 m0. b:0xyqsv l the

  A mass on a spring undergoes SHM. When the m pf,4eb vt*qm zxxuje h/.38p3ass is at its maximum displacement froeqj x p*bzmte.p,f 3xhuv/4 83m equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through thf0fjd l 3+ewg-hywvy .**1ogne equilibrium position, its instantaneous velocghwyv j.go lw+** n-f10ef3 dyity

  A mass on a spring undergoes SHM. When the mass is at maximf/l8w b4u6j drum displacement from equili4rd8jlubw 6 f/brium, its instantaneous acceleration

  A mass is attached to a vertical spring and bob, u (nba, wuie-/kk0yws up and down between points A and B. Where is the mass located when its kinetic enerw k,e-bya( u,nk0iw u/gy is a minimum?

  A mass is attached to a vertical tv8 ty9j 2 w4/v/kcabkspring and bobs up and down between points A and B. Where is the mass locate wvjy 49kt/2c/ 8bktavd when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down pou w0s f+he /mlaa-9-3zzn0lbetween points A and B. Whw-pa+0 f9 o0z salunle 3/h-mzere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A a9wdw2kc i86 ouy2nm3fnd B. Where is the mass 8mwo2y2kwnd fc i3u96 located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating masswle: pt 3tb9s1-and-spring system produces what effect on the system's mechanical b3 pe1ttl9sw: energy?

  Doubling only the mass of a vimdh wtbg a:+buh,2,6 sbrating mass-and-spring system produces what effect on the syss: db,6+u 2g mb,twahhtem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-w s(s3wf*z djl5szzj i .-c+izyvn)81spring system produces what effect on the sys81 j fz s v5snsdil*wy 3(wi)cz+.zj-ztem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on :;x*jj0wm6vm 9k + fffm e2q:qk h(ncothe Moon. Where is the period the greatesvfmeonjkm:wf2 k*f6m j ;hx9c: 0q( q+t?

  Increasing the spring constant k of a mass-and-spring system causes whos4h /j:jgl *w-* rd4act.ngkp8x 1k gat kind of change in the resonant frequency of the system? (Assume no change in the system's massk p g/sxg jno4dkatwr -8.ch*4*j gl1: m.)

  Increasing the mass M of a mass-and-spring syste0mqgud -v t7jd-0 to7;on3e dpm causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring conj7e 3dm ;7-t nt0vgdqop-do 0ustant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ok sbcx:- ous,;3 arc*rf change in the resonant frequency of the system? (Assume no other ch :oc*3;cs kaux-sr ,branges 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 weightlessh l1hlr t9z76pg k46vs string of length L. For this system, when undergoing small oscthrlv7hl 1p9zs 46 6kgillations

  When the mass of a simple pendulum is tripled, thyda9lk1i 9jkyw:;c( ie time required for one complete vibration1:9 wacyikji( y;kl9d

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicecc m(wcbw3 e-mep wy*+3opyct375ts + as heavy as pendulum B. What is the period ccty* p5mc73b(3p3es w-w o+t e+wycmof B?

  When the length of a 0j-xam . gfdt*hu m23gl.3/duv*: xx ihinv1dsimple pendulum is tripled, the time for one complete vibration increases by a factor o/1*x-a lxdgmd.n h.ugv:dvu*f i323 hx j0imtf

  What happens to a simple pendulum's frequency if both itsp 1ubx.m4: *xnwd )mzd length and mass are inc)n .mx4 pdw1buxdm*: zreased?

  Simple pendulum A swings back an r;g,lng oh,,ad forth at twice the frequency of simple pendulum Bn;,,g,rgaohl . Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity k5vs4i a/bl8 zk-tc3z is less than on Earth, the resonant frequency of the pendulum wik-b 5saci z8 3z/tkv4lll

  Curve A in Fig. 11-1 represenahcj 2( o,vv+cts

  Curve B in Fig. 11-1 repreyt;e9vxg 9x 1vk:*ip)m0c pvv sents

  Curve C in Fig. 11-1 re+qvz(rbrl9f *presents

  For a forced vibration, the amplitude of vibration is found to depron ::3d.j s) mpp b0h8u1jfakend on the

  In a wave, the maximum displacement of points of the wave from equilibriumkv *5u-wmsac6 is called the wave 6wc*mvua s-k5's

  The distance between successive crests on wjvhq- h0glp o3)x*2wa wave is called the wave's

  The number of crests of a wave passing a point per unitcj* udq.u oo8* time is called the wave'sqo8 u.cudj*o*

  For a wave, the frequency times the wavelength is the q pb(qda 1erugojcn)5-24p0nwave's

  The frequency of a wave increases. What hap8 .3eqnurpeg;t7xkt-9 eg/x upens to the distance between successive crest/txg3pe. g7; - uuekrtnex98qs if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A s: 3 k44 +w8)prvozhzyyhahyg6+,qk irecond wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of ti4 )rky,:o k3w+8 +z 4vyhry6azhg hqphe second wave?

  Consider a traveling wave on a string of length r3* inhou iz wasl32(.L, mass M, and tension T. A standing wave is set up. r3o2*isl. ha 3inuzw(Which of the following is true?

  A string of mass m and length L is kz.rqd +xjpouobe4r*v- x z).)a r6z 7under 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 r zvu* )e-az.orjxr) 4 o6q7pbzk +dx.of the string is increased to 2m, with no change in length?

  A string of mass m and lengt )*c e3br d c.0;ilk,tz9gjcng/)yeujh 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 k;uzig,lend ctc gbc* 3yj))0. /e9jr if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tense+am/ ao8(u .vf- ,jtn( kreyhw(xe*oion T. The speed of a wave in the string is v. What wineo - wxaa je((o.vru (h8tyf m+/e,k*ll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. n. wf+4 q4yw+nciwqa -zs71cr As an S wave travels through the Earth, thi qz1+syqn44.ar +wccnwwf7 - e relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelbdss03;st s;js through the Earth, the relatives;s;sbt3jds 0 motion between the P wave and the particles is

  The intensity of a wave ; qeiyt 5f4exgy/3-oxis

  A wave pulse traveling to the right al9(87gp0f ,qtqxi(pfs iwbgsh-q71vb ong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is th7(wg hqf1t,vgs9xqpibips7f0(-b 8 q e orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass e oyhq:ms sdmk36/k +9yach other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy sm/m3qysk k+ o6d:9hy the same region of space at the same time

  Two wave pulses pass9tr:f 9 14 qilh+syu.6qjwttp each other on a string. 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 occupy the sami.swh9q jfptt qr+t 9416u y:le region of space at the same time

  Resonance in a system, such as a string fixex xv+0uelqs t;jezs+jp9hba dm8 -); 1d at both ends, occurs when

  If one doubles the tension in a violin stringnwe ba-:8w:sp88.aczeca:d2z8rsg l, the fundamental frequency of that string wi zl8b: c8 . dwaprwg-as82s:cae:n8ezll increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of 04 01l)us ai/an2 jqwrx.600 kg il/4r j s0uq)aw 1xina2s suspended from it?

  A mass is attached tob hdn*/f(m7 aw0upt;d4oak2 e a spring of spring constant 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 takes the 4dhtd2 o 0fwam*upeka (bn7/;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 sprib+j vpy:2wdg)ng constant 60 N/m along a horizontal, frictionless surface. Th 2+ yvwpb)dj:ge 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 algfbxgqh6 rq, 3aow 763b;es7xong 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. What6h3esx gbwox63b7fq7r a,; gq is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillationsn)dow/0uki 4a in 5 i udnk0)/a4ow.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring ,c6qncfq)-xa u nmyds-f1.(u constant 20 N/mu m-qs,1c6xafy d.fnqn()- cu 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 spr164pmr 1dkre eing constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicrm kd41r1e 6pe 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 )ui7 q)s2uny)rn fg4ethis time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What 4ufynr7)g ei)qus)n2is the energy of the system now?

  A 0.50-kg mass is attach z g- 2i.kbtn-w5gf w8w7uvz4ped 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 equilibrium position. What is the amplitudezgfi- v2 wwun.-45pkt8g w zb7 of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonwe (r7v+* lbdsbf73 upg 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 ae(7+wp7b lsbr fd*u 3vnd the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring co/7qseyy0 eis3v7ju:dt4 em8u nstant 5e3 sj di4e7u:u8yysm0q/v t7e0 N/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 of a hor ;vxba,nb7o*ebv*4v u izontal spring of spring constant 50 N/m and set into simple harmonic motion wina*7vbo;,evub 4 b x*vth an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth l 6f todf:bn+4g)/apbfrom the free end of an ideal spring of spring constant 20.0 N/m with ):dn +gof6bla4 b tf/pan amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacedjf2r42dpd,lrz )( yxi 10 cm from its equilibrium position and released. A d2f,ljdr 4)x 2iry(p zfrequency of 4.0 Hz is observed. 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 tok+yac les;uy.7m0o w4i0ecna;9s .ca a spring of spring constant 10 N/m. The object is displ ;y0.i0s9as+ cok;wuc a.4eeam ncyl7aced 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 )8jv8kt)s nmv5r8gi 0gxlkk* N/m. The object is displajlkk)8850x gi*rkmn)vvt s8g ced 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 sp 25n xfupcrf0 i,r8sc ,fvjg07ring constant 18 N/m, displaced slightly from if0x rnsc7ff52c, pr g8i0ujv,ts equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freq) )fna7y7jrzfiv507 vr3 zsziuency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocitsfzvrfir7) ivnza3zy )77j05y attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibr - 2mga:skt3gl* ou5hk,vk81ajxcj: bates 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 Hz. How does the maximum speed of Ag , :mkx3 u-:ogla5*2 hcjv8k akj1tsb compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrjqmkrc 1mm-g ,n2r2v ,ium 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 cnm1j22 mgmrvqr, k-,period of oscillation.

  A 0.30-kg mass is suspended on a spri90f3d2eek 5s l:f scjvkzb15 sng. 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. 953l1sb5:skzfke 2jeds 0vf cCalculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equil8x - 0ohi+jrt ov*owv;ibrium the mass stretches the spring 2.0 cm downward. The mass ;+x*-h w0io rvotv8ojis 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 positiog2 cb -t8xjczu5nc( -mn versus time equation:-gcm( 8z cx2-5njcbut
$y=0.50\sin (\pi /2\times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time r;) ik.1kqc7rd4m lfy;sar vm ro2b+m.y8v9q equamfo v+7);cim.9qvks1rrm .ly d a2; rqyrk b48tion:
$y=0.50\sin (\pi /2\times t)$. What is the period of vibration?

  An object in simple harmo jsc,ybu n9vxc60n wj g3u;2;bnic motion obeys the following position versus time equa 3;cvju692 xgnbcw,;0ybunj s tion:
$y=0.50\sin (\pi /2\times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execu87:br35 t *pncic 5 9iyl4dkoal a6foltes simple harmonic motion according to tatoopr78 clf*b56n 3 i5:l9dk4liyache 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 oeffzd dai7 ,++scillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the z+d,fai+ f7 edspring 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 s. (a) What are its freqir52h: s qxnl/uency and period ohinl:/s2rq 5xn Earth?

  A 3.00-kg pendulum is 28.84 m long. u-eud5ps(qp-rz:ka 17y+h wi What is its period on Earth?

  A pendulum has a period ou/ xpk-4 o7/wjy9dmhuf 2.0 s on Earth. What is its length?

  The pendulum of a grandfath. 8hujkk.q.tp0 doh26z jdd 4ier clock is 1.0 m long. What is its period on the Eartu8k6iph. .j4d0koq2 z . dhdtjh?

  The pendulum of a grandfather clock is 1.0 m long. What is its p(p1bagksf3o,x :q *rd eriod on the Moon where the acceleration duer sd:g,13p(of ab k*xq to gravity is only $1.7m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached n-e68tzl (/irf a/p wnto a massless string. When the mass is displaced slightly from its equilibrium position and r 8eann/ z/f r-wtip6(leleased, 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 r lyp(a7s8ymi4b8sua/l4 7vrangular displacement of 8.0e. It oscillates with a period of 3.iyrasmb4/l v8(yr4ul 7 a87sp00 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 avq6 ch/q1tux +k -xl3mt a given time. The frequency of the wavq/xqx+m h3kl c-u v6t1e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freqnn nz-4s;m- uu pj)o3b6 -ttlxuency of the wave is 120 Hz. What isnm- n b usjzp)n-tt36o4lu;x- the wavelength?

  Figure 11-2 is a "snapshot" of a wave at ali-(o*cn-o ho given time. The frequency of the wave is 120 Hz. What is the wave so chi(o-nlo*- peed?

  What is the frequency of a wave whiiqtt;6 k*t3f )ch3neo ch has a period of 6.00 ms?

  What is the period of a wa+a)k0xj9d+m u7l knwqve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of x1w3f7 b1wls;p st k8c12 Hz and a wavelength of 3.0 ss;c3wx1t7 fk 8wblp1m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frgk2pb4e ,o e:cequency of ko2gee p4:cb ,12 Hz?

  What is the frequency of a 2.5 m wave q 3lbyzu *xg*l0kd.aw hc781q traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a teyxi61 u*ojg /y/higwui4 su 68nsion of 1350 N. What is the wave6/1iuyyxi w g4* /giusoj86hu speed?

  A string of linear density 6.0 g/d 51mb( 0cfximz vzo67mv 30rzel-mt. m is under a tension of 180 N. What is the velocity of propagation of transverse waves alongzvz x3 e5l-cov60m 1bmf.m( d0zmt7ri the string?

A wave whose wavelength is 0.jg wr2e5oioc10x k)f 0500 m is traveling down a 500 m long wire whose totalo5rwikc j1 fe0g) x20o 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 of a transverse wave on a 2.0-m long string fi )sdw/u c/n.cfckn6 b;xed at both ends bdf.c/ w;)/ n6cuc ksnis 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental z gm79y0+viqmfrequency of 500 Hz, which one of the following frequencies zqim g7y0m9+vcan set the string into resonant vibration?

  A stretched string is observed to have vh. w;)2 hgc 5kmez;f2czm(nj 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 equahz2. m )h5cnfmjg;kzc2(v ; wel segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing h u+pm)tyh*,v 5+*wcc au( uey/ihh)ttransverse wave pattern containing 3 loops. What frequency is needed if the standing wavtew5* hcv(+huc )yph u/ *,h+ )auiymte pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should zofa4/c-t/y7me + k/(mkpcjq its length be if its funda eopkk/ q -7m4(cyfa/t+jcm/zmental resonance frequency is 220 Hz?