The time for one cycle of a periodic process is called d+) 5msn(lek3scf w( othe

  For a periodic process, the number of ss:fel;x5;t n6v g4jqcycles per unit time is called the

  For vibrational motion, vzdrcua:9l cmo 5jka1 t i+1.2the maximum displacement from the equilibrium point is called t tj911 al5z+:iu. dmoavk2c crhe

  A mass on a spring undergoes SHM. When th0htl-o fie d bz5y2; x24n7lr4q9vcpue mass is at its maximum displacement from equilibrium, its instant2v7c nif eb4ludrh904-yt;lz p oqx52 aneous velocity

  A mass on a spring undergoes SHM. When the ,s c1k :otxch3mass passes through the equilibrium positiot c31c,oxks:h n, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximo91u/fp ,bwibum displacement from equ bipf1w9b,u /oilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and rele/p 6 u7k69x;uxtk down between points A and B. Where is the mass located w6l kep7ex;9xtk ur/6uhen its kinetic energy is a minimum?

  A mass is attached to a vertical sp)ky7j0xsn7. : hylrhuc1x5b mring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is ac5u bx j:hhr 7 .knl)xy0s71my maximum?

  A mass is attached to a vertical spring and bobs up and dofo.p w m+rhr3l88zn ya )t:hp+qb/oh6 wn between points A and B. Where is the mass located when its potential en+lftr+ /b6h: mo8w h.yapzoq 8nrp)h3ergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between itg c/zt br*//points A and B. Where is the mass located when its pote/t*izc gb/rt/ ntial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-andwm 9y:j/wk+,;g dyl m2)wadsf-spring system produces what effect ofa:,ws)gwd d9 j2+m/y y;wmlk n the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring sysofp my epl,n05(qah6 tq- f1y3tem produces what effect on t3yht pf5 qm 16fyqn0oplae-,( he system's mechanical energy?

  Doubling only the spring constant of a vibratin)1 or8co:avjr w6:tyyg mass-and-spring system produces what effect on the systrac vj68o)1:wy :yrotem's mechanical energy?

  A mass oscillates on the end od): onf62 w o4+dflqtef a spring, both on Earth and on the Moon. Where is the periof)n6+ot2 l:4wdd ofqed the greatest?

  Increasing the spring constant k of a mass-and-spring sys.v n/a t zg38g)jk6r yk gk0;jous5i(stem causes what kind of change in the rej.kg/v sznt) ogs 80uk rg jkyia(563;sonant 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 blya6oa 72;;kqsagrt*u3 pyu 584btnchange in the resonant frequency of the systemuq4l;5*7s a y6b anb takgt u;2p3or8y? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sysr -h5, p4b;bxlu)mbrktem causes what kind of change in the resonant frequency of the 4mrlk;bb,-bp 5x hru) 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 attached to a weightless string ofunl25qyf f tx bgruk03o /6f;23 vltt7 length L. For this system, when undergoing small oscilou tx7 2b02 q/frulv5ty3kfgf3n6; tllations

  When the mass of a simple pendulum is tripled, the time required for one compl9ao8i s ttit.11dz ,jeet1z91sa,io .dtt8j ei te vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulu83;0-8 kuj idk pscfwgm A is twice as heavy as pendulum Bjdkw k sgc i0f3p;u8-8. What is the period of B?

  When the length of a simple pendulum is tripled, the time for o1 x srioiq cg2av 8k.4wib1o61ne complete vibration i8w1v1o2i iba x.sk6qci4 1 orgncreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass9 nz.yakqf(u9+ v.oha are incr 9..z9y(u fohavka+nqeased?

  Simple pendulum A swings back and forth at twice the frequdqb4 (t63vfs rency of simple pendulum B. Which statemenf(s 3qtb64rdvt is correct?

  If you take a given pendulum to the Moon, where the acceleratiou /o ct+hm0c.,v rt/ gnr3mxr9n of gravity is less than ru t 0 n+r3 ,/hcmmo9gtxr/.cvon Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represenc; uhen0zuob ghhl5 7 9nw+8+vgd,iv)ts

  Curve B in Fig. 11-1q y .7*mjmgdk:prx6-; :tvgjb represents

  Curve C in Fig. 11-1t pprqqb7j 2+* represents

  For a forced vibration, the amplitudeq6x54sc dy0 cyl08lhy of vibration is found to depend on the

  In a wave, the maximum d , uyj)jmk qxv2)s)3fhisplacement of points of the wave from equilibrium is called the wave3hsj,mjx 2v q)y)u fk)'s

  The distance between *aptdm 5;k6+jgot)fm successive crests on a wave is called the wave's

  The number of crests of a wave passing a point / 91 k:jj- jxhv.iacelr8oac3per unit time is called the wave's 1c3hja/- r8oc.ljvae:jikx9

  For a wave, the frequenj wcwni2 j.72xhwrep8m2 av9* cy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betweecjv pvei45c06ht x u-8n success 4icxve j-t8uc5pv60 hive crests if the speed remains constant?

  A wave moves on a string with wavelength l and*famw / d)za4c frequency f. A second wave on the same string has wavelengtmca/a zw)d 4*fh 2l 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 tensubg:xxl7 44p6yzd 3v :g5tagjion T. A standing wave is set up. Which of the foljg7 gx6:a x 3guz v:4l5byptd4lowing is true?

  A string of mass m and length L is under tension T. The su.2;y keui s.xpeed of a wave in the string is v. What will be the speed of a wa;si u.2 eykxu.ve in the string if the 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 inyo q6d07 3vcro the string is v. What will be the speed of a wave in the string if the length id 3rq0y vc6oo7s increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spy k+li5lm5(u )x v6ighiub9wn .n: ye9eed of a wave in the string is v. What will be the speed of a wy9i6 u +nvu) em5ii:x nlbkgwl 95h.(yave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transvez8uu, p u.ikd2rse wave. As an S wave travels through the Earth, the relative motion between the S2udiz8,u pk u. wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels througstg6 w t:9t9cgh the Earth, the relative w :6ttsggt9c9 motion between the P wave and the particles is

  The intensity of a wiy2 7 8)yyk0f(0zoasac 4gp mbave is

  A wave pulse traveling to the right alfg944kgklcrbxqir :b 34. 8og ong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation.3gg 9 k o4frirbg48: k4cbxql of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudvmo2ow id 9x,jajs-+ 7es 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 same,ovj 9 wd7m+s2joiax- region of space at the same time

  Two wave pulses pass each other on a string. The one travelieza-/zsqt m*8ng toward the right has a positive amplitude, while the one traveling towar qt emz*/8z-sad 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, otpvsj 4kh)( *r ycjqo:o0o5e0 ccurs when

  If one doubles the tension in a violin string, the fundamental frequenc4oy6ew-vu ;g-ghi 4o4zu elf 1y of that sy4u g;e4 ve 41loihwfog-z-6utring will increase by a factor of

  What is the spring constant of a springt 5:vu/u(gb:. sartoj0pd0zikn/4lw that stretches 2.00 cm when a mass of 0.600 kg io .jtv5a lurt:gs n/0z:p/w4 k0b(dui s suspended from it?

  A mass is attached to a spring of spring constant e5u.3; h wi u;y3os mg4wdpzoa,ds07a60 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 it is oscillating. What is tzy7m;,w h43 3i.dgwae;0susd aou5op he amplitude?

  A mass is attached to a spring of sp)b:uk sfyl/iaf 1m7x0/ jui yau04 3acring 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 go back to itsiy:af0 i/fu ya/ lux0mjba 147)uck3s 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 horizontal, f(dp 1wllqykj /iwb jh r:*.3a*rictionless surface. The spring is initially stretched by a force of 5.0 N owd wr.lb(jq*y3 alj h /1:ipk*n 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 complete osciz 5ul 3q:*p z zs clos;8kqhapd9zxy0s-90b0xllations in 5.0 s. kxzs3zzosl5 :9 qdzc9psl;8 q-x* 00h baup0 yWhat is the period?

  A mass vibrates back and forth fro2z6 bcugz wq3,m the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ec ,2z63qgwubz nergy 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 constant 20 N/m alon0nu8sa fa d-. swvi+h:;5 grjig a horizontal, frictionless surface. The object oscillates in simple harmonic motion awivih ;f850arn-u: .+jsadgs nd has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM /4h6d.c qnkm ywith amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system isn6 .kqd/4mcyh again set in 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;92hkemvn * pl6pnk1qh a5zj1 a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hasj* h pnh2nam61e9k;lvp15kqz a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached caenx, e b; ;+;t:cicx tk1t(zto a spring of spring constant 20 N/m along a horizontal, frictat+c(k:b t1ee,zix;x; ;c nctionless 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 enneg8c d scy,7+roz g)5d of a horizontal spring of spring constant 50 N/m and sesgdc + gy,8 rzcn5e)o7t 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 horizonta 9g mp xt9q b-gjew;z;,)lrxxjw8j-h0l spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is tljpwx)qxj9r8 m9- w-hjz;t0gegx ;b,he total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring co 6)tu7etmq ip-jw )c6jnstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this viup6jetw)i 7tc)-m 6 jqbrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equi rjm +zd rd6;sq/gw,c6.wuqr*librium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if r+w g 6rw6 dcs.jzmu; drq*q/,the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of sprinpy5q vmh6uqto;6p2x c f*0q1r g constant 10 N/m. The object iso;q hf 61vq6typcx q*2m0rup5 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 a sprnzai0pxv3 s1 jthd5+- ing of spring constant 10 N/m. The object is displa3i0a1 ntjps+zv -h5dxced 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 ajy8qdf 8fa4tvee2ragtmj. 5 q; z/ 7)j spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequencymq qyj aef8 g)ad/.t8z e;fj4r2vt j75 of its vibration?

  A mass is attached to a spring. It oscillatesg tw3bkduuz-p7*c6)a at a frequency of 1.27 Hz when displaced a distance of 2.0kw3 p6uua7td- gc)z*b cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs.7,mi(fc+(5e1 zt azlrgxk rwsw1/zd/ 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 A1/kzg/+ xf51c,twrz7dzwr em ai(l(s compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equili*3,ple:p*wd0hgqrw mbrium 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 period of osci *l0rp,gwhp3d* mw:eqllation.

  A 0.30-kg mass is sut; , he1(5khf6apq dtespended 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 ,6;fep51kth q(adthereleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendedzp)7 fyfs3ncsx 9dq rcr67 u1. 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. Write down its equation of motds79cu1yr.6 )3q7x zsnf rfcpion.

  An object in simple harmonic motion obeys the following position versus time equl0g+ a xk8c9.xs0h gnjac89 xh 0+n0sa.l xkjggtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fox:m2saj38m4f d vn s,1(k(upgc bl0vw llowing position versus time equatc4xl 0v8(2anp:sfs bw(k,3mv dmju 1gion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thet.ohv-g rf. u4 following position versus time equation-.. grth 4ofvu:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motit a1s4aqw7 zgz t4(pdz qm;i+t8y7h6fon according tt4qzmq iwzt;8 z71 tapg+6hd(fsa7y4o 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 fm-(, tfhm*g0hsu9*ehhi9p k3o 5 y zd20.0 N/m oscillates on a horizontalg,pfuszt(- *o* mk 590mieh h9hhd3yf, 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 swingsbgteuxpi2 t4 67768 x5v ec hpjb+y,gp in 8.0 s. (a) What are its frequency and period on Earthe4h 75gx8py p7peucj+2xvg i6t6b,tb?

  A 3.00-kg pendulum isii 0d if; e::p(oepz)f 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is i5pvka8-z 6 7. m--scsb elyr;)sbrylits length?

  The pendulum of a grandfather clock is 1.1dbit,; (vch /trp3op0 m long. What is its period on the Eav;(3ot,pt c1dp/rib hrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t9:fa* ubjgr;v-sc n z5sh)gc.he Moon where the acceleration due to gravitshng. 5a- r*)zg;jf :s9ubccvy is only $1.7 \; m/s^2$?

  A simple pendulum consists oja ,/jv)k z)t-s2q wcgf 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 wit )2)k,-a /cg jtqwsvzjh 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 in bdjdw+r1 8xa1itial angular displacement of 8.0e. It oscillates with a period of 3j+ba1 rwx dd18.00 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 6boa9kgiua2 n./ z)aiw; pv/mfrequency of the wave is 120 Hz. Whaam2izvbk .)uai p6;w//no 9g at is the amplitude?

  Figure 11-2 is a "snapshot" ofr5g yg mvc(:ifo4ck; - a wave at a given time. The frequency of the wave is 120 Hz. What is the wavk:g cf ;5r(yoi-v 4mgcelength?

  Figure 11-2 is a "snapshot" of a wave at ak)+jydy,6mb6tp;evxg4e 04y z mzy4n given time. The frequency of the wave is 120 Hz. What i)nz tkm x0j46p6my 4eb,yvy ze4g;+d ys the wave speed?

  What is the frequency of a wave which sl7h3o ocf.+0o xvyn6has a period of 6.00 ms?

  What is the period of a wagbj6)d69n tl ,tf ,s;drln z0lve with a frequency of 1500 Hz?

  What is the wave speed if a wa-z7o7i:.f:/ l:k ipecjltz mvve has a frequency of 12 Hz and a wavelength of 3.0 m?-i7 .l: fmz7:ijlv/o zkcp:e t

  What is the velocity of a wave that has a wavelengthe/l pjvy99-o+)fw d5xoewc , c of 3.0 m and a frequency of 12 Hz?eecdx)o +w,w/p o v9jf-5cly9

  What is the frequency of a z)mboaaj5j ,hygdy zhj08f - 1hfl( 912.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensionk+dyph - lu2qn+mn36n of 1350 N. What is -u+ k3ydn n6m2+h qnplthe wave speed?

  A string of linear density 6u( *d4)imlmoisd hco,+:6rejhq+ hy9.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the strin* )sm9ehiqhomld ++ujro h(4yc di6,: g?

A wave whose wavelength is 0.500 m is traveling down a 500 m(lf3 1jiug-z z7kk l0ryq:qy( long wire whose totagf-z:(lqi 3l kjqy u(k0z7 1ryl 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 lon5omdosf scppqv,l9r 9t*k-03g string fixed at both ends is *vo9-0tl s,mq c orkdpps359f 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th)f tdm j/o3:o c::ixsi-fvk,j e following frequencies can set the string into resonant vib3f,xj mkc/: ovfs:jot:ii -) dration?

  A stretched string is observed to have four equal segments in a h4u5k,p fd:98 -aljju5snycq9 .djkj wv3w9mstanding wave driven at a frequency of 480 Hz. What drivinj cqwkm. :sj9- n98wdu35fj ,pkyual95d jh4 vg frequency will set up a standing wave with five equal segments?

  A string, fixed at bothe/k 467f-jbcblzo+y m+ng5w j ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed ifkn +z+oyf-7wc/m b bjgl5 6j4e the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 qh/ -7:p fgi-i-e wln6mzufxqk4t +t(g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequenc -x+ip /h(lek qt-tmf wguz7n-6f:q4iy is 220 Hz?

  Find the first three harf 1f4ri3* 3c p4thmjvhmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to te3 mhp41icvtjffr h*43nsion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the s31s4/ty (togbi g2)- vap ugtstring vibrates at a frequency of 85 Hz, a sti 1t y2p 4gsa/s)gguttbo3v- (anding 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.