The time for one cycle of a periodic proc70v3tqx cz11 vm:o cumess is called the

  For a periodic process, the number of cycles per unit time is calle;ges -r6lm sk yhi;s.1d the

  For vibrational motion, the maximum displacementa:oz1 jwe+z9ojk ek i6 .8ij-h from the equilibrium point is calleko jojj.w9ez+6: -ze i8 hik1ad the

  A mass on a spring undergoes SHM. When the mass is at i 60vu1ci;vv lt 7-vzkgts maximum displacement fv 6;c1 zu0v vlvtk-i7grom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pasb o+jkxf7l -l re(vf*cpz5.k(ses through the equilibrium position, its instantaneous velok *fc fx-p.obe ll zj(rkv(+57city

  A mass on a spring undergoes0zda 5,)6iy:b,-xorb rrbjxp SHM. When the mass is at maximum displacement from equilipbx0)or-5zyra jx6 r: d,bi,bbrium, its instantaneous acceleration

  A mass is attached to a vertical:klg; qu vcvv+q( ag99lze0.v spring and bobs up and down between points A and B. Where is the mass located when i ql:9(cl.v+qvekvvg; z0 u9ag ts kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and downi6gpa ig kz*7+ between points A and B. Where is the masg+ i7ig*p6k zas located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring + dclg7q)7u*e y-myoo and bobs up and down between points A and B. Where is the mass lyoclo y7m* +ueq7 d-)gocated when its potential energy is a minimum?

  A mass is attached to a verq8wb 4nk62 ddxtical spring and bobs up and down between points A and B. 2k8q ddw4 xbn6 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prm;ti5u- a f8.sapb-lioduces what effect lisaa- ut-5.fi8p;mb on the system's mechanical energy?

  Doubling only the mass of a vibrating m- -wkcqv/azp)o c;h:xp .j0bpass-and-spring system produces what effect on the system's me-hpjvc k)/;appzcw o-bx.q : 0chanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produceoy k9s5zlakmr17hd,q:q+rt 8 s what effect on the system's mechanical ,krqsly8r :qdoth+79 5z1 mkaenergy?

  A mass oscillates on the end of a spring, both on Earth and on the Moolx,(7o,wlv-) mf zvu-+ sozj gn. Where is the p)sxml7v,fz zugo(l-+ j v-,woeriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind o(c5nr drff6rzy 0o l1 fjeq ,1*aa4f1zf change in the resonafq041joa 16fl,z z5ce frrd*1(ar nfynt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chany1yx.e-8-j;tn big fbge in the resonant frequency of the system? (Assume no change in the system's spring const; -gj1i.t efyyx8b nb-ant k.)

  Increasing the amplitude of a mass-anz jq8 ab/8fn;an0,rndd-spring system causes what kind of change in the resonant frequency of the system? (a/ zq n0,d88b jnra;fnAssume 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 attached to a weightpiy j0iu9uzn o.o0wa;1spt * s- at1o;less string of length L. For this system, when undergoing smjpp *t01st n zioa-s. 1;ouyuowa0i 9;all oscillations

  When the mass of a simple pendulum is tripled, the time required f(rq-hskdr z k ypz 4)k;vn2ds1 k.w;(ror one completen z .-kks rp1h (z(d4kk;srv;yqw2 )dr vibration

  Both pendulum A and B are 3.0 l 8m*;popaj-t4 2;pc lu svzi+m long. The period of A is T. Pendulum A is twice as healv *tz;jmas8p4 ilcp-p 2ou; +vy as pendulum B. What is the period of B?

  When the length of a simple pendulum is t.tzqyy+sqq :c d/5v5v v4+v fkripled, the time for one complete vibration increases by a d v.q5 : 4ycv5kqfv/qs+yzv t+factor of

  What happens to a simple pendulum's frequency if both ihj3b6jsm8jbv1(z du; v ps(3dts length and mass are incre 6v13jzb(hv j 3dp8m ju(sbsd;ased?

  Simple pendulum A swings back and forth at twice the frequency of simple * *b/)+w8 zsbh4x phucqvuk x.pendulum B. Which statem4/v)* b x. cuhqx8k+wz p*uhbsent is correct?

  If you take a given pendulum to the Moon, whersx3cofea-pv*( ad9 sjlq du/) soq:92y+ns5 ue the acceleration of gravity is less than on Earth, the resonant :l*vas/ 3 5aeqds9jp )onu2(oq9fsd- sux y+cfrequency of the pendulum will

  Curve A in Fig. 11-1 represents bqv cgv7i5k82w: s: qe

  Curve B in Fig. 11-1 repre0q*5veidu4e f sents

  Curve C in Fig. 11-1 represent2gck30zd eps q) ngj08s

  For a forced vibration, the amplitude of vibration is found to depend on thxm0*)cwcl9g4mjt/z b6 bt 1dd e

  In a wave, the maximum displacement of points of the wave frcu*-4ve6ek um/6f- r(jb lfqpom equilibrium is called theu 6( u4 fqem/ekbc-j*rp6vlf- wave's

  The distance between successive cresb4vm ns;a;1v;eitw(s ts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time/ yz tfd3ir9.x is called the wave'stf9ir /dzx3y .

  For a wave, the frequency biakrdx5 ,mx ,-xc;qa; brwp fng0*,;times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distiam eq6mx *gomo+.d/8ance between successive crests if the speed remains constant+q ./ex agom* 86dimmo?

  A wave moves on a string with wavelength l and frequency f. A second wav/dpo a6n1lq k4e on the same string has wavelength 2l and travels with the4 nda/1lkq 6op 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. A stp(em6q)5 r3zpafv :dnyin97 p anding wave is set up. Whq9rvp(a3zpmy6) ned:p f7i n5ich of the following is true?

  A string of mass m and length L is u pfyc1c1mbb-s2 ki 4)pnder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if th)-skb1y1bm2f4 pc cpi e mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave i,;azb.dam es;n the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change ,zsae a;md;b. in mass?

  A string of mass m and lenl u f0;kao6g gk(0qw1kgth L is under tension T. The speed of a wave in the string is v. What will;u6w0kkfglq a0 1kgo ( 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. As -o taw2gfkms p41 c9+qan S wave travels through the Earth, the relative motion between the S wavwap 14ts-kq9foc 2m+g e and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thr /k-nj2skg;nr ough the Earth, the relative motion between the P wave and the particles issr;/-k ng2njk

  The intensity of a wave ismglfo wga076 k1 nd3/tseiw:*y v5tmx4jx9:t

  A wave pulse traveling to the rig9b: jed /sym7xht along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?ybx 9dm: s/e7j

  Two wave pulses with equal positive amplitudes pass each other on a string, one0,54m duotxlb is traveling toward tho,ld tm bu5x40e right and 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 traveling toward the rigcw 15spvo:g7i ht 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 space at the swi:751c spog vame time

  Resonance in a system, such as a striwldcc r9 x9(c1ng fixed at both ends, occurs when

  If one doubles the tension in a violi0it ,xn9attxu.n -+zyn string, the fundamental frequency of that string will increase-iztx9n.t +y ux0atn, by a factor of

  What is the spring constant of a spring thasb:*ubg7czr1 e 0 9rest stretches 2.00 cm when a mass of 0.600 kg is suspended f7zbrue:c se1b0s r g*9rom it?

  A mass is attached to a spring of spring constant 60 N/m)gwf3at 0 6umi6c+ . iamzlo/phl1e0m 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 mass 0.50 s to go back to its equilibrium position when it is oscillating. Whatia6iz/oa p wt1+)m6 u0eh3m cf0gllm. is the amplitude?

  A mass is attached to a springx(p+kq5 dtr2e 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 mass 0.50 s to 2qe(5p d xk+trgo back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constangmb 03b0pi58t9xl fo bw.h pj+t 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 mass 0.50 s to go back to its equilibrium position when itbgoi9 hmw0tf+5j.bp 308 lbpx is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations ii*vybldvhh(n*olom* ), (z t ;n 5.0 s. What is the periodooh*lmh(d v * ;)(*lbtyin ,zv?

  A mass vibrates back and forth from th,*6xv b ,ktifqg 4ddcx0 lmk1*p* tsp3e free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibratin1 t mfspxd*bt ,6lqcgk,v0*pxd3*4i kg mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedlbx/; s+-zq-mz/:ho pp6x09ix cbfib e n5uv( 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 equili9x/pznv5f+ubx:p qhx0i -ie l(b /s6cb;m -z obrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of pp.*p(p6/nt vh6plxc 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 withpp6. txlp/pn(h* c6vp amplitude 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/m along a hori gz92*mv9vr bjzontal, frictionless surface. The object oscillates in simple ha92bj* 9 mvrzvgrmonic 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 sp11f yqd26p kxq 23tpearing constant 20 N/m along a horizontal, fyaqtp 2 e2d3p61fqk1 xrictionless 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 and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spri 5t 8pgh xh;gu+f8h7uxx drni-/kr/p,ng of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical entkf8i h/7x;ugu/dgxhhrp-+,p8xr n 5 ergy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sj749 gb7b3mof (qna jspring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the osj97gb7j4ban(q mf 3total mechanical energy of this system?

  A mass vibrates back and forth from theum;.wrgm5p- v(nf* ig9 x0tyt free end of an ideal spring of spring constant 20.0 N/m wiw;t*0-i 5y.mg 9nm x(gtrvpfuth an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sy xm1tg0 ww)nv b4fbv+3stem is displaced 10 cm from its equilibrium position and released. A frequency oxt b+mw)nw vgb 01v3f4f 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 to a spring of spring constant 10 N/m. Themie uo+cmqhi4 *furvi8+k ik)/o/ h9 gn364na object is f cq aourhnin 8/3k/giv 4ei+k *4o9h +6)ummidisplaced 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. Th6azkq m(c+gp t3z-/*m cj4tk ee object iszcct3gake q+-*mj/k 6t 4z(mp 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 vj) xo(r-sy qup:e3 )5lj/ilpof spring constant 18 N/m, displaced slightly from its equql3 (- p)/le)rpvxiju5ysjo :ilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. 75kz6qqi wupz.iddi(f141 ra It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the m. uwiz4rf d q1ik16pqd 5a7(izaximum velocity attained by the mass?

  Two masses, A and B, are attached to d5ccky+gb( x;x ifferent 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 16 Hz. How does the maximum speed of A k+xgx; 5b (ccycompare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchuft9xn+;ys 6jz /yxc) es the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Cazu9yt ) ;yf xj+s/xn6clculate the period of oscillation.

  A 0.30-kg mass is susqkz 10v)4mr dmpended on a spring. 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 r zqk04d) 1vmmthe total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium tsdn*5 ti/d l;ahe 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 equation of motio*nd ; ld5s/itan.

  An object in simple harmonic motion obeys the followinzo7o9f)doov /j n6s jo 2,dj5ng position versus time equvoj62dn ojsn dj59o ),7f/oo zation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timeba9g f e.,awr2 equatie.fab9gr2 ,w aon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folla.( 9j:zdqpuy .osw* cowing position versus time equ9*wcdy :zoqu..(a j spation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free ene/h*lsuls lj.k9 p(+-q hlch:d of a spring executes simple harmonic motion according to the equationpl+l lk-hh:s/(jl .huq c* s9e $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to1 gg:35ub rmw3idrpa3 spring with a force constant of 20.0 N/m oscillates on a h:dgw53r ri1g3pb3ua morizontal, frictionless track. At t= 0, the mass is 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 in 8.0 s. (a) What are its frequency a ,xpujt0f; ot;wzw0u5/cpf w- nd period on Earth?zt j5;0tw/ u;uwp ff-pw c0x,o

  A 3.00-kg pendulum is 28.84 m lo)t d gc.+bk7kd8x le5jng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lc*38o*8s6 pfrh+c pswzk9vh fength?

  The pendulum of a grandfather clock is 1.0 m long. jywa :gvs h3 9cg9p(y)What is its period on the Earwyy (c:phjs9ga 3) 9vgth?

  The pendulum of a grandfather clo*/ jns jkxpi4hf3myo i9)e+. uck is 1.0 m long. What is its period on the Moon where the acceleration due to gravijf)j/y 4xep.sh+io3u* mn9i k ty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass 3eo*zk9i8vvne9 2 8eq rmpil,less string. When the mass is displaced slightly from its equilibrium position and reler,i on eei8mv92p k93 qle8vz*ased, 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 initialn82r8rhu4s3 xea7a pe angular displacement of 8.0e. It oscillates with a period 4ex83ea2hpa s7r 8nu rof 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.(tc;bs tz6b *a The frequency of the wave is 12 zc ;a6*bstt(b0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frc7n816d oan apd zaq.-i;kjj24j4 dch equency of the wave is 120 ;jzch .cad84-pk4oidn12 6 d 7jjqaan Hz. What is the wavelength?

  Figure 11-2 is a "snad-di6kr; xzdcmou*q /x(9j 3 spshot" of a wave at a given time. The frequency of the wavu* jq;odx x6dm3zs/c (kd9i-r e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which h ,a/(/k 6cse1 kadjxxias a period of 6.00 ms?

  What is the period of a wave with )xe5vd ha b.+qi4vk9ba frequency of 1500 Hz?

  What is the wave speed if a wave has a fre3iv hbt3ks,*i(sa8 giquency of 12 Hz and a wavelength of 3.0 mv, a*h sitgi8b3 3ks(i?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fib hxkikjjffn+ kk-/oqj1 : me 5-79e/requency of 12 Hzmx -qj 9kfieoe -kj/hnf:ki j/ k5+b17?

  What is the frequency of aumx5n* nyp d1f 8(j0fmc0o)zv 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050hu0ry g:2n(f j kg/m is under a tension of 1350 N. What is the wave sp u(gnfy2j :0hreed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the lgc97y g4fh2 pvelocity of propagation ofg yp2c g49f7hl transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose toy:r yfxa r+txo7nv 6(a0 ((ykv35awyatal(a6o 0ay rvywrn((ay txx:+5f3k 7 vay 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:60rh -z uujog a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of t-rjoug0:6h z uhe following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, v 4l +k zu*my :allj9wg34u(ccwhich one of the following frequencies can set thlcgz j4y l*mw34u(: lca+vu k9e string into resonant vibration?

  A stretched string is observed to have four equal segments in a so kl9fr upb9xmx 8g2v-1ehyl.a+-v4ztanding wave driven at a frequency of 480 Hz. lpfm9 r+vbuzo1k 8 4e9a.2y vxghl-x- What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of s (+9q7nictp.c9m tkp 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wac9+ i7.pm cpt9(nqsktve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension ofsn yp;rzm b6e4 ,k9k/de9azsn9sh ,5 f 20 N. What should its length be if its fundamental resozyd;efm9kn/sez b6 r,a9 k5 n94hss ,pnance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mas +* u9 zfp eqy8kri;gzffzf;/3s density 2.00 g/m and length 0.600 m when it is subjected to tension o3fy98f;+qu eip /;z*zfg zkfrf 50.0 N.

A string of length 2.5 m is snc*pt tm+.7 zfixed at both ends. When the string vibrates at a frequency of 85 Hztsp.7 +mztn*c, 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.