The time for one cycle of 2e.uj j p( zxki:ba5u6 v,rf3ka periodic process is called the

  For a periodic process, the number of cyclezk+u-fmg:e0l s per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point2igoq, lpi4,( mqpej(l0f5 jc is callpg(i,ci4jq elqj opl, 52(fm 0ed the

  A mass on a spring undergoes SHM. Whenr/sps(x :d(q k the mass is at its maximum displacement from equilibrium, its instantaneous :p/xdsq( rs(kvelocity

  A mass on a spring undergoes SHM,c4p(bv /v.o f h/ lc-s* u4,cbpzrnqh. When the mass passes through the equilibrium position, its instantach 4p.f4vuq(,s bvh *-co//np,b lrczneous velocity

  A mass on a spring undergoes SHM. When the masl5lbs30ppt6, z-m ttip*b /w8i p jl/xs is at maximum displacement from equilibrium, its insipbt 3mlw6tt0l, sijlxzpppb/-/ 8 *5tantaneous acceleration

  A mass is attached to a vertical spring and bsl8.sei -e4oql +/(ynk t dqf*dg(go-obs up and down between points A and B. Where is the mass located when its kinetdefto s(ld+ g4qqloe* s(i/8 --n.kygic energy is a minimum?

  A mass is attached to a vertical spring and bobs u: 3n yy 2qtuy qktd 6tr66;20xugb4icrp and down between points A and B. Where is the mass :qr ugxciyn466qb 36ry ytt2;u2dk 0t located when its kinetic energy is a maximum?

  A mass is attached tv .0 t1f qp *yy.mpjfe9i9*iaxo a vertical spring and bobs up and down between points A and B. Where 9fxvf.jiqa*. 9p*1yp etmi0yis the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bozdlcc6k. u+4p bs up and down between points A and B. Where is the mass located when its potential energy is z6c u.4dkl+pca maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systemf oift*rot4ltaz; +v7ny4xe2q m1 +;p9mzyq2 produces what effect on the system's mechanicaltli4v+nm*e4; 2z;zfo f mo +rq9 aqx1t7y2tpy energy?

  Doubling only the mass of a vibrating maxjavbec tog577b: +0xqhftz- n1nf,( ss-and-spring system produces what effect on the xfj-c (hn7:b7 1o5nvaq e z+bgt,xt0fsystem's mechanical energy?

  Doubling only the spring constant of a c:d l ba5,/yhdvibrating mass-and-spring system produces what effect on the system's mechany l5db/,d:ca hical energy?

  A mass oscillates on the end of a spring, both on Earth and onaq8iz1 ok*f*1*fhaoy)b4 roj the Moon. Where is the *r8hai1* b 4f*f1koyqaj o o)zperiod the greatest?

  Increasing the spring constant k of a mass-and-spring system3c;ww nrzh.1x causes what kind of change in the resonant frequency of the system? (Assume no change inwn.wzcrxh3; 1 the system's mass m.)

  Increasing the mass M of a mass-and-sprin/9 je9i ohpofoav j*77g system causes what kind of change in the reso9ji*7ajo eophv 9 o/7fnant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spriyihkm: 0:4w*3vmh rbm ng system causes what kind of change in the resonant frequency of the system? (Assume no other changes iym*v4br hw mh 3im0k::n 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 st2nsgwz, w57b7mzh 6 otring of length L. For this system, when undergoing small osc n2wz5bm 7h6,sg woz7tillations

  When the mass of a simple pendulum is tripled, the time required for onetw8)s8 *dbmrey5mpam) f * mi0 complete vibration*a5r tbm)d8m y*0) sp8iewmmf

  Both pendulum A and B are 3.0 m long. The period of inlz,p, fptly.*)m5d A is T. Pendulum A is twice as heavy as pendulum B. What is the period of *zml ),linyfppt d5. ,B?

  When the length of a simple pendulum is tripled, the time for one complete vi9 d2 8jrkchq:al si8-mbration increases by a factorhj rmi d9:-2qsck8a 8l of

  What happens to a simple pendulum's fr,hr3h.94ni ms1 shn;vu a-igl equency if both its length and mass are in1u, vn;imsa9hgl-i 3hsrnh. 4creased?

  Simple pendulum A swings back and forth at twice t5 +eu +qgz. q9vvoxi r7e)6llkhe frequency of simple pendulum B. Which statement is correct?ulvqioz+. eq5 g )k9+7r lvx6e

  If you take a given pendulum to the Moon, where the acceleration of g,j brbfj-liq 0o7(+kxb 5 at:pravity is less than on Earth, the resonant frequency of the pb 5top7b il+bk0q-:jja r,f(x endulum will

  Curve A in Fig. 11-1 represe+ea)uf u q .tm9,8jmwynts

  Curve B in Fig. 11-1 reppu7-r s/m nn7qresents

  Curve C in Fig. 11-1 rep3 h6io/ck u xa,qpa)pqi( (1pjresents

  For a forced vibration, the amp nh7 *6qo my yd4) vq.6*mz5qivbxlmr2litude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is ca7oosdfgo9(3h z+0qw z lled the o7g0+ ( 3df9oqszzohwwave's

  The distance between successive crests on a wave is called the wave's*pps4q7 3.v s xknjz0s

  The number of crests of a wave lzzzq,q)d5 )bpassing a point per unit time is called the wave'bz)q dlq)z z5,s

  For a wave, the frequency times the wavelen40j l6wvi ao3vj4u-ah gth is the wave's

  The frequency of a wave increases. What happkn k0;;x:9wxx bj+ jsc6n.urm ens to the distance between successive crests if th :. +rnxjmxjc 0knbu;kx s69;we speed remains constant?

  A wave moves on a string with c67z6ve.2bcs *(to szex6 mhqwavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the f6msqvs zbeez6ct( 7ocx h6*.2 requency of the second wave?

  Consider a traveling wave 2*kbzhvlrp7u8n *tpo1 wf9gij ,* m4von a string of length L, mass M, and tension T. A standing wave is se,1 tvuhr7j4k2*8 vpgpmzi f*lno 9*bwt up. Which of the following is true?

  A string of mass m and l 4 pffcskg4; 5ykq-c5length 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 if the mass of the string is increased to 2m, witf cyq4fcgs4; -l5pk5 kh no change in length?

  A string of mass m and length L is under tension T. The speedxu0hraruhjus,das)f , z*:c.c- a72 s of a wave in the string is v. What will be the speed of a wave in the string if the length i suu: *,.-ca)d jcs,xfr7 shazh2a0urs increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave 20x* 6vu*iu k*apwah u: z.qzmin the string is v. What will be the speed of a wave in the string if the tensionzmauku*h:6x. w qza*u2pv i*0 is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thr01yiebm ) ;hm9vu5jmsough the Earth, the relative motion between the S wave and the particlee0uijymmv) b;m5 s19h s is

  In seismology, the P wave is a longitudinal 5d .9b 9; 6 0deg)nnmljogprlgwave. As a P wave travels through the Earth, the relative moti9gdro5)pgn de.l6gj;mb l9n0 on between the P wave and the particles is

  The intensity of a wavd1om4t e- aro5qje4n2e is

  A wave pulse traveling to the right al/hr oos5f l7dm rb(j v:q3(r2pong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the refl/ol72ofp qv3r j hrm (sd(rb:5ected and transmitted pulses?

  Two wave pulses with equak5*yegb h2 a/laql*+ al positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the sam+eab**l5/kaq 2algy he region of space at the same time

  Two wave pulses pass each other on a string. The one trmmx si/jl h;3p9tx//javeling toward the right hajjs/3/mtlmip x9; x/h s 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 same time

  Resonance in a system, smzeckp)kc da owpv:a3b 2).iz) 7(j9i uch as a string fixed at both ends, occurs when

  If one doubles the tension in a ezn3b/ bc(3 u*3cgusc violin string, the fundamental frequency of that string will increaseuzg / n3ecc3(*b3sbuc by a factor of

  What is the spring constant of a spring that strv:gyf*z,.b.j1lxe 0 bd emur.etches 2.00 cm when a mass of 0.600f. 0 z. xgel *bjue:m,vr.ybd1 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m alvej7.h,gn 2tg ong 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 ma.h7, gjtv2negss 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 pj2 jnc/qog* z**.zi,xkdh3i 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 hxczpg**j n i*o,/2zdqj .i 3ks to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a 9 jry xbao-/tf8tj9pgy9l3f)spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretcog93 jfxt) pryt 9af9 -jbyl/8hed 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes throu zeb9); trh8rjdg)e e7gh 10 complete oscillations in 5.0 s. What is the8jth r bde z);9e)7rge period?

  A mass vibrates back and forth from the free end of an i)sjz5uj1h8tg5i mi3ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. Wj z isj m)i531hg5i8uthat 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 const*qth7nm2 8ti 0*ddjgl ant 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 positiigt8* m 7*d02h ltdqjnon. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 7i1; nf3u8cjp-yvuvc wj*sa9 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in iuvv3y1ujf a7sj*9nc8c-;pw 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 constant 20 N/m along 7x;g,rh iayvz 3g(xi (a horizontal, frictio(a7yx gvziig3,rhx; ( nless surface. 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 attd9 qc6.x h8x/0nxscc eached 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. At what location are the kinetic energy and t xcnhs9ed./cxx0 q8c 6he potential energy the same?

  A 2.0-kg mass is attached to the end gi: mee/ciibr2bx0(v:.9 ignm b670qawj lx,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 energy oii0j(/i7 n mqiw,crbg xx :92b :l6e.avg0ebmf this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spryy 2*z4duop ;rz,i*p ving constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical ene;pry*dzp 4oz,*y iuv2 rgy of this system?

  A mass vibrates back and forth from the fll)aqcs8 g3w ) +srcg7ree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of thi3c87s+csalgl rq )wg )s vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibkjx; 4u4b fk8crium position and released. A ff kukb844; xjcrequency 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 to a spring of spring oop*(yp gyta( ,4)mshu 1s:lk constant 10 N/m. The object is displace ly ps1(posog*()ma t4: uh,kyd 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 75nv3bzrr2nu constant 10 N/m. The object is displaced bynr73v ru nbz52
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fro1o un b9lo. 3;hzimlt26e dhk1m a spring of spring constant 18 N/m, displaced slightly from i.u; 1 o1ohmlzndtbe39kh2l6 its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. u4gc0t;o lt2n rhz/s0 It oscillates at a frequency of 1.27 Hz when displaced a dizcntu ;hsot420 r /l0gstance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attaclf:r.da- 2xk yhed to different springs. Mass A vibrates with amplitude 2d l.r: fkyxa-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 compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass st d j-,zaeg78miretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dow,jegd7m- i8az n and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches th6)g. s(lr ee;vfvtn3 9uhsdp s :4(fghe spring 2.0 cm d s;vflsg(d9ph :v.(e6sg rf4uht en) 3ownward. 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 suxp4pw88c3egt-s rv n ,spended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulledtsp3c-48n,egv wr p8 x 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*yz)qvybpsa4a uo -5 tf5;mbse km+/7 the following position versus time equatio famps4-*z+oq);um5 b/b5 tkv yy s7ean:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positionbu3edg:a1r7g50 /okriey- v i versus time equatiogore/gy- 105 uad k3v r:ibi7en:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus timtvnyx 46xp 1)g1hb8x7g9w:f qndg:if e equatixvp1qn8g 9 :: g fxgfi6ndxhty )1b4w7on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motionokob l8fu:-+xc t.ag 9y0kr, z according to the eqf xcagb9koy r kt8o ,0:+lu.-zuation $y = 0.50 \; \sin (18\pi \times t)$ 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 forc4 k:cdq,dx 1bwe constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at c,d4: x 1qbdwkx= 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.yyuv ni /k,63qvu of3:0 s. (a) What are its frequency and period y3ui/ ,yvo:v qn6fku3on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periq,uz)s ;mhq pe0 ky9n6od on Earth?

  A pendulum has a period of 2.77gslx )/a6iilb o x0sliitus a4, 4)v0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its 1l buxu-bdl):period on the Earud)x 1 bul:b-lth?

  The pendulum of a grandfather cle-x zer 10;8gtg :fkz+ ufzw-fock is 1.0 m long. What is its period on the Moon where the acceleration -8tzx euzefkw:;-f10+zggfrdue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists o *xv+d1zzyid6eaxl - 9f 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 frequency of 2.0 Hz. What frequency izdxa*yzd6+ -x9 le 1vwould have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consi oa s1v :uf;oo(267mfchha/kg sting of a 20-g mass has initial angular displacement of 8.0efmovo(f/aoh 6k12 h 7ucsg;:a. It 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 give( it1ugopf(i6n time. The frequency of the wave is 120 Hz. What is the ampt(( 1o6upgii flitude?

  Figure 11-2 is a "snaj4 tdjc(9gz 6apshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wav 49t 6j(zcjdgaelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency ofht z0.bipka;))1cegk j( 7w ql the wave is 120 Hz. Whatl) a(7tg;pcz.kj kei0q)w1 bh is the wave speed?

  What is the frequency of a wave which has a period /o0+gujhkk 0z of 6.00 ms?

  What is the period of a wave with a d om tuxsy8f79vl 9c v7vt+.u;frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o ys00q hl3.h;k4 rf5koc hi;icf 3.0 m;5i i30ch 4hkrkq;yol.shcf0 ?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freqnt3t;d juth7e .n2 q.ruency of ntq.32j hd7 en. rttu;12 Hz?

  What is the frequency of a 2.5 m wave travl9p( qgy+ n-tt ff,v2ueling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m dalfhecx24.c s(0z3 o is under a tension of 1350 N. What isdx lczc.e304o f has2( the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velf tc*o85dc.:w jcud,nocity of propagation of transverse wav.tonf, 8cdj wd*:5ucc es along the string?

A wave whose wavelengkzbr1vb2m1 /k(gutf +th is 0.500 m is traveling down a 500 m long wire whose totuk1kz+21tbg fb(r mv/al 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 ure 6ye7v 4ywzoi*ta-0nt i; 4transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following tyaw e6*4izr7nev0ou- ty4i ;is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the y5 ap :bt+qn+cfollowing frequencies can ynq++ a5 ptbc:set the string into resonant vibration?

  A stretched string is observed to have four equal segments in ow, szn15* xnq*9esa la standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standin*anxnqe1s5zo* , l9 swg wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz wiz*wyd z,wcw,:th a standing transverse wave pattern containing 3 loops. What frequency is needed if,wcy, z*ww:z d the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tens(s5) swt pidyb2:w-dlg ,7 mgoion of 20 N. What should its length be if its fusw w(sgd-yml2 ,db:75g i op)tndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi-*uw(9 hl)hhy ru2zgzs aq.e;ty 2.00 g/m and lengthe uzhs ya(u);r-9w 2*.qzh glh 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed-bqeuqq ;uoi+- 6 cr8e at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.c e6-quo-rq ie 8b;qu+
(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.