The time for one cycle of a8fh/v6uf, :2i mdx sds periodic process is called the

  For a periodic process, the number of cycleal q- :l7l-o(ntq r0v)a4n6c/wgs: xrojf mu:s per unit time is called the

  For vibrational motio8uz*i bo1eks a38v3 lun, the maximum displacement from the equilibrium point is calle 3s1*z8 8vk ulabuie3od the

  A mass on a spring undergoes SHM. When the mass is abg pp:8x+ab:pq( c0ru t its maximum displacement from equilibrium, ap (pb :+r:gu8xb0pcqits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thjv5t p2ku45ur rough the equilibrium position, its insta 2 jpuvr55t4kuntaneous velocity

  A mass on a spring undergoes SHM. When th8she (4o(ssmo s+(l du8*it lae mass is at maximum displacement from ulio (t *+essads4m((8olsh 8equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwfqqh s.ncbq5/y+e3;0a-30ymf vk6 ovyvgv7been points A and B. Where is 537 b0hcq;fyo3/.- sybgvfm6 qa 0v e+k nvvyqthe mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwbep4qq (5agp-,m ; prween points A and B. Where is the mass located when itwpq,p -mg;a 4(pb erq5s kinetic energy is a maximum?

  A mass is attached to a vertical sprklf9o.7 gvi7h(bs z 4uing and bobs up and down between points A and B. Where is the mass located when its potentb7 g.(v79u4lok fhzsiial energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betl94 d51ohm:kc 4bpqooween points A and B. Where is the mass oq51cp ol9bd mhok44: located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system5 f 6ve;bqak+mntwm to2 0ge.5 produces what effect on the system's mechani mk60t2mtaeegnf w;o 5+q.v 5bcal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what:b .h6x2 lrrm:mnzqw0 effect on the system's mecrz: n:x0qrbm.m6 wlh 2hanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systemrqp qk qb)(nnp7:j-)a i-1/vjsywo e/ produces what effect o /q7q )op1jp:/bajwne) (n-vrsqy-k in the system's mechanical energy?

  A mass oscillates on the end of a spring, both:0 pbi1 ir1g9 /cerrsm on Earth and on the Moon. Where is the period the greatest?bc:1g1ier90sr r m/pi

  Increasing the spring constant k ofmeb016 gfm1d jrf .cj, a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assumejfm1g fce r,dm601b. j no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change inqq+h bd 7x.cxm4oqj6 ) the resonant frequency of the system? (Assume no changh d4q6+.b7mqxo cjx)q e in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whprrvgr7 ,1+y7f c8xalat kind of change in the r1p+yr g7a xrc,l 87rvfesonant frequency of the 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 706co)ocu 9h) q mwdwpof length L. For this system, when undergoing small osc dhocw )w6mu0)o7qp9 cillations

  When the mass of a simple pendulum is tripled, the timemp i8qppm-(w8 required for one complete vibrat-m8pm(8 ppqiwion

  Both pendulum A and B are 3.0 m l:vq rq;0 5xeaw00d4dji6 a hodong. The period of A is T. Pendulum A is twice as heavy w0j 4;d6xaq50eddq o0 vahi:ras pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completqv,c. garvmi 9(mf ,;le vibrati(;agvlm,fm q,v r9.cion increases by a factor of

  What happens to a simple pendulum's frequency if both its length and vgs,crm7g-tp4o :)igmass are increri ,7oct4ms:g vgg-) pased?

  Simple pendulum A sw p1+g+gydg, c 9 e+mkxb,ohrk2ings back and forth at twice the frequency of simple pendulum Be 1 +ry+hp+ ,,xk9mckgd2ggbo. Which statement is correct?

  If you take a given pendulum to the eonr kgu3lb;3+9vm f8 Moon, where the acceleration of gravity is less than on Earth, the resonanmgbel8r ;3uf kv+on39t frequency of the pendulum will

  Curve A in Fig. 11-1 repre4d c1m.nd8dj 3g qhk,nsents

  Curve B in Fig. 11-1 represwxucto b+f 006o;iq6 8+j6wikqme1 6k4k k eiients

  Curve C in Fig. 11-1 represent. oaiy u rllqnd,)09vrdj2 yp /ymyaj9* 5ue91s

  For a forced vibration, the amplitude of vibration is found to depend on thqtzq dm2 mry 2s.;v,i9e

  In a wave, the maximum displacement of points of the wave frinp 0r *qk654sbomvd; om equilibrium is called the wavnv* pi; bdo q6mr054kse's

  The distance between succesdc2/ q sll:;1lkmzl1w lq/)g,ajj/ pusive crests on a wave is called the wave's

  The number of crests of a wave passing a p1oyx fx90z2hjoint per unit time is called the wave's19 0jf xxoyh2z

  For a wave, the frequency times t -eoiru *pfz44he wavelength is the wave's

  The frequency of a wave increases. What happebx e/llpo2su q*kr,ifk:vp; 6dr )0u 7ns to the distance between successive crests if the fpr;u:07pr xeko* dku6vl)i/q 2l b,sspeed remains constant?

  A wave moves on a string with wavelength l andhfu/da0jf 6 8e frequency f. A second wave on the same string has wavelength 2l an/f 0 68fhuejadd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave z h95+l l6lk1njnb89v *md2/ofnrntp on a string of length L, mass M, and tension T. A standing wave is set up. Whichd l2lkznl j/* ntn9+vo5b1p rmn986fh of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in r:( xrt(hj8v d:zljc4the string is v. What will be the speed(8z:r tlcj: v(hjxrd4 of a wave 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 w obc .;rvy (.yv nia7hz-ih*d-ave in the string is v. What will be the speed of a wave in the string if the length is inori.h. bz(vyh7y --i *na;c dvcreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a :sw+m,lfa * ( oux(iviwave in the string is v. What will be the speed of a wave in thex (+,v: lfm( iiw*uosa string if the tension is increased to 2T?

  In seismology, the S )9xmdadp2dre yjj-4 2wave is a transverse wave. As an S wave travels through the Earth, the r d2dp)yjx4jm-rd9ae 2 elative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As 26ns b 7fzb-(ymzpoa7a P wave travels through th7y osfa(pmb 2zn- b7z6e Earth, the relative motion between the P wave and the particles is

  The intensity of a wymrfhmm4 uh:)q2,dg 0nz /(aj ave is

  A wave pulse traveling to tc k/:f ;ofn:b9 xjqcp,*r4 dkche right along a thin cord reaches a discontinuity where the rope: /x;oqfkj *ncb4r,d:f9c cpk becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each g ooav 7f:v,;tother on a string, one is traveling towaoog a,t7vv;f: rd the 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. us +6kpuhi, l 3cg-bra .vz-fpii( 8y,The one traveling toward the right has a positive amplitude, while tbc. +-up ri3ys, 6g( 8zlu,fp-ahviikhe 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 f4c0b qzzrwk : y./ohg+ixed at both ends, occurs when

  If one doubles the te ny uw,jak/p+gh)zao s ,s5v96nsion in a violin string, the fundamental frequency of that string will increase by a factov so5g, 9/,wh6ypak) +suanjzr of

  What is the spring constant of a spring that stpo6e) 9ydwhj-retches 2.00 cm when a mass of 0.600 kg is suspen-o) ypw jd69heded from it?

  A mass is attached to a spring of spqd3 q) +t( l/g vrk/4zdbhxms)ring constant 60 N/m along a horizontal, frictionless surface. Th+(sdd g/ 4xq/rm3thb )zvk)l qe 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 amplitude?

  A mass is attached to a spring of spring constant r -t)tk4b:pr u j/akq060 N/m along a horizontal, frictionless surface. The spring)4 0trjpb-:trqk/ uak 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 bz7ew15t 9sy kalong 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 equilb7teyzs kw9 51ibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. ymz 6 uwr4)+hnIt goes through 10 complete oscillations in 5.) +nz umwry46h0 s. What is the period?

  A mass vibrates back and forth from the free enmyp kezvo6je63v uf ),8;q4aid of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the ) 3me4qez,puovai 6j8 f;yk6vkinetic 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 constant 20 Nw3n m-u .h3czd/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 posuc-.nz h33wdmition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. T1eotvta,:k4h : rx )qghe energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0q :xo,t4r)g: evtakh 1 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 horizon:gxgs + s7ps,dfo1 xhhl,2a6ftal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Wha2apf:gxfsh,sx+ ,1sdlh6g o7 t is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizoydd ht 0ks98-j,a+qv ontal, frictionless surface. The object oscillates in simpd98askt ,o -yh+jq 0vdle 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 y : g9afc xot 7nw85ezi;27rlaspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energt eawxil7589;:o7y2 ncarf zgy of this system?

  A 2.0-kg mass is attached to the hu 8ci)l gb8dk;,) irnend 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 of this system gu8rhbik8c, ) ni);dl?

  A mass vibrates back and forth from the free end of an ideal spring-;s pc r6xj1tj gs +5z5zt1klqpf7g.v of spring constant ck 7 +x qs;1lz-s6g5 5rvgtppjfzjt1. 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibraw2 ;mog)p8im bi l:x9ium position and released. A frequency of 4.0 Hz is ob;i)2iwxl8a gmmb o p:9served. 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. Thb6n);1v *ydpa gc-egw e object is displac1p;ydg wnec6 )-gb *aved 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. The obj;gv+h yf lxpp:29y xt)ect is displacx xp) pgh;:vt y2+9lfyed 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 1o o2e :-zk j*;ivpeg e3:0klam8 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its me0vozielkg :o jap; k:e-2*3 vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2m*m/qk0c-v,m sn ; 7flyyj n:z7 Hz when displaj , slcmn7*y knv-qm;fy:zm0/ced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffdojbq sj gu2 +19iy 42ex9o2prerent 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 dor22s91b49+j eygpq o diuxo2jes 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 strep c.rly8ggy 1avx1 6a6tches 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 perio6ca. g8x6l r gypv11ayd of oscillation.

  A 0.30-kg mass is suspex5; clo /25al45iaojdm 8qav ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additionald 5a5m2 llv;4 8ca jxqe/iooa5 distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the md( .mt)bjry0dass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 j)d0mr( t.dybcm down and released from rest. Write down its equation of motion.

  An object in simple harmkowthp )4puxrh)9 (k0onic motion obeys the following position versus time equati)k)0wh94o xutr(kp ph on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positijhzf9p+2yqpq18mi ea s 70;+iksjq a *on versus time equati8+;miq ei+7 zp0yf92phqsjq*jk saa 1on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion m9gu wh7nbl0 )obeys the following position versus time equationgh0 mbw lu)n97:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple ha ..oc0pwpv1-gbwz p )armonic motion according0wwpg 1pz)ca-ov. pb. to 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 conw0fz6*x jjifwu)ls -,stant of 20.0 N/m oscillates on a horizontal, z*l,j6ix f0 j)-w uswffrictionless 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 frzolm0( 6:dkyw zun(/oequency and pem /koz(odu0 6 lyn:z(wriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its pe:0hg 1sx dnmu/riod on Earth?

  A pendulum has a period of 2.0 s on Earth. Wxu6(:vop eevne7j0g / hat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its puw-ln ;cs- bipt +t uxa;/qk68eriod on the Eart-x;/u-+tcakwu lqtsn6 i8 p b;h?

  The pendulum of a grandfather clock y2vurha. i zfo10gdag*k z:e-;4fr:bis 1.0 m long. What is its period on the Moon where the acceleration due to gravitya vdfo::rr1ggy;u k-2za4 *i0b.fhz e is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massles*oxf ga9yzxb2gvr8aap2jn4ne/ 6/ k +fb, yu,s string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a z 4 gy8r ofp/en+2,bfn ka6v2j* byu,a/9gx xafrequency 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 angfn9qc );j x +otyki/k7ular displacement of 8.0e. It oscillates with c79ktq)ko +nx; jif/ya 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 gm os+sww:( ci7iven time. The frequency of the wave is 120 Hz. o(scms wi7+:w What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given . dgdpvj:g/4st9ws p/w-7 tbbtime. The frequency of the wave is 120 Hz. What is the wav v 9gjpp /-.w4w/sbdtd7gbt:selength?

  Figure 11-2 is a "sn;:en r+j4o 21rquu pbn6.s0gc/ ih sxcapshot" of a wave at a given time. The frequency of the wave is 120 Hz. n0r+xhn/ usj4 :1o.grbi;6 ucspec 2qWhat is the wave speed?

  What is the frequency of a wave which nv z -vp0cjks 867w)vv u(ske7has a period of 6.00 ms?

  What is the period of a wave with a freipmb 0 k-r 7nnv -nty/gr59by4quency of 1500 Hz?

  What is the wave speed if as8d c9nb1i*c z wave has a frequency of 12 Hz and a wavelength of 3.0 m?cbcd9*snz 81 i

  What is the velocity of a wave that has a wavelength of 3.0 m and a fmy x;g7a:cb.rrequency of ;:mcbrxy7ga .12 Hz?

  What is the frequency of a 2.5 mb ,8qb lupk. tp6wtqnxj/8(v - wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 tx3ff5:itb5kduh4bd 9 o jp 67kg/m is under a tension of 1350 N. What is6u3xd:tk9 ij4bbffd t ph755o the wave speed?

  A string of linear density tqy1ry 9:0/badtrz mk5q*8x m 6.0 g/m is under a tension of 180 N. What is the velocity of propagation q9*8 5kbt1tm zyrrqm 0y:dx/ aof transverse waves along the string?

A wave whose wavelength is 0.500 m is travelua7shod9(3: vhd f(ciz*/)igjf. nnging down a 500 m long wire whose tot: chsdan *9gjiv (d/hz. u(3io g7fnf)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 transverse wcv, ;/it)erhiq6 l*e nave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequ6 t*rh/; vq),e liicneency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fl6 000fgkg .v qix y+lbkpg5i .-0lfefollowing frequencies can set the string into resonant vibration+kflevl0.pi6x -0bfyq 5g0g. 0kg lif?

  A stretched string is observed to have four equal segme :1scqe imh02yu--9 ihikv 5knnts in a standing wave driven at a frequency of 480 Hz. Wha09kvcs 5-en-h21hii:myqiku t driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency om uyff1zau+n 2tk -x1 x:t/y xlyjnvq1 *(:rv*f 12 Hz with a standing transverse wave pattern containi:xvx * n a kljf+q1-:fm/u2ty*znv1ur y1tyx( ng 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear denm qh 51jf*,chlws1zdjy2a/d,sity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency i2 /hhdj saly5,1,qmwf *cz1jds 220 Hz?

  Find the first three harmonicsdfqgq3z sf(3s6,a 5wc of a string of linear mass density 2.00 g/m and length 0.600 m when it is s3z3qa ,w6fq sfgd(5csubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsg ns 7,6wkl,sfsm+ i9 +bddexlb8c6 5k. When the string vibrates at a frequency of 85 Hz, a standing wave with b8lx,k6 7s i9lb5d,csdns 6m+ wgk+fefive 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.