The time for one cycle of a periorc hc17l6q28:o 2upo *s cqoyxdic process is called the

  For a periodic process, the number of cyiqy8g)f: vn*im/vb (3tu0xsk cles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point u z)8w-,el (gu);qoaxct6ejs is called tse)(ctj,z w86x;o)-q gueulahe

  A mass on a spring undergoes SHM. When the m 6c41q87otjhq4p nmv rf+mhr: ass is at its maximum displacement from equilibrium, its instantan+r48prhj mm76vq 4t1c :onhqf eous velocity

  A mass on a spring undergoes SHM. When 5yb *q kh(pa2nthe mass passes through the equilibrium posi( qa2b* khy5pntion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass iszjlo( q-.2hey d7n)(2cxywzt8m8bp-(u fn qa at maximum displacement from equ(- 2ahb eyw 7q)n-n8 ou(y d8x2.(ztljpmq fzcilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs dmq4xc*e ;e w qa rvduf+ esr64.wd7f7p1n9 t(up and down between points A and B. Where is the mass located when its kint rn7 qf.9vuc7 d;ddasr meep(wf+w14xq6e*4 etic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points gf + 4mkt6bj4w- oqct641izexA and B. Where is the mass located when its ki6mqb4 -tkx46gjctfwi e1+ oz4 netic energy is a maximum?

  A mass is attached to a vertical spring and bobs kztybzn4trprk0 h /j.u c(2;-up and down between points A and B. Where is the massjzu-4 bcyzh0r.krt/;p( k n2 t located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up a-s atrbmts-+ 4nd down between points A and B. Where is the mass located when its potential energy is a maximumr sta4 b+sm-t-?

  Doubling only the amplitude of a vibmyrha cn(x(p :p(l 5u8rating mass-and-spring system produces what effect on the system's mech8yx pcr(p u5ml((nh :aanical energy?

  Doubling only the mass of a vibrating trbo,x, (1zcdwpxw+ 1 mass-and-spring system produces what effect on the system's mech pw,d, wr+b x(o1txc1zanical energy?

  Doubling only the spring constant of a vibrating mass-ani c2h c60vf:wld-spring system produces what effelvc62iwh0 fc:ct on the system's mechanical energy?

  A mass oscillates on the enuf8l9ry 8g3b o 18tubcd of a spring, both on Earth and on the Moon. Where is the period the greates8b 8uyog198t3b uf lrct?

  Increasing the spring constant k of a yv ug jv*-1z ziq8jyuw )qkn: :fd1:0umass-and-spring system causes what kind of change in the resonant freq:d zjy 1f 1-w izqku):gju vyu*8v0n:quency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whad9 xip0h 81wv) vftho+t kind of change in the resonant v1wixd +ft 8v)hp0ho9frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-s qtbrf9))c2n swn7n.z -*qls;fq2w gqe6)pn zpring system causes what kind of change in the resonant frequency of the system? (Assume no other changes inbfe rpnl6 ns-)qw7 qz)g nc*q2)2n;fsz9tw.q 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 o lb7 ein/) m(-*yxrhqqf a mass M attached to a weightless string of length L. For this system, when undergoing small oscel ibh)nx7*(qy- qr /millations

  When the mass of a simple pends,9 zfe/:yi fmulum is tripled, the time required for one complete vibrati: ise/yffzm9 ,on

  Both pendulum A and B are 3.0 m long. The periomx 3l -qox/p(yd of A is T. Pendulum A is twice as he(mq-x /yp3lo xavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tomq5 0csop+/cripled, the time for one complete vibration increases by a factc/5 + o0mocpsqor of

  What happens to a simple pendulum's frequency if both its length and massmt4 q) v5ngq k:8suz9j are incq4zj5nt gm 9v :)us8kqreased?

  Simple pendulum A swings back and forth at twice the frd jii5*a qump ijla;*8pvczx1n956i+ equency of simple pendulum B. Wv1 a p5 i*5imq8;il9jn6+jcdxuazp * ihich statement is correct?

  If you take a given pendulum to the Moon, where the u+iup2ezv7z +.:3o wlz n tn1pacceleration of gravity is less than on Earth, the respn eln2t7 3 +:+.zuvozw i1upzonant frequency of the pendulum will

  Curve A in Fig. 11-1 representps0t4) wb vsprt ) a1jc788cu1.uhsqr s

  Curve B in Fig. 11-1 repreu18c( p 2pgpt) :rgrtpsents

  Curve C in Fig. 11-1 representjdml8bk+xj7 5tp/y0a9 mz6jbs

  For a forced vibration, t v/b15jflvzd py :fqphe9 ,ax6gf;67ihe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wav;)/1jeo fth 2kq:0d ef mzrbc8e from equilibrium is called t k)0fdj c qb8 1fzohem/2;e:rthe wave's

  The distance between successive crests ( 5c6+jn rejr2plzkp+on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is call ,ath*y-c7bm *ygl /lved the wave'sa/ t, yy-7vhmblg**lc

  For a wave, the frequency times the wavelength is theb-jtx+0 xbwt0 qa2o1s wave's

  The frequency of a wave increases. What happens to the distcy 9(as*cq:dsfzzj * :ance between successive crests if the specq*sfz zs:y :9j (ad*ced remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave og+lj hl hk2/de on1elr*n+uc4i-; y*xs1es0 sn the same string has wavelength 2l and travels with the same velocity. What is uhr;0n1i-lsso/l1cn +sh gey4j+l ed2 x* ke*the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension j8 uz qa3:c;nzT. A standing wave is set up. Which of th;zcu:38a znqje following is true?

  A string of mass m and length L is under th3s* +oasc1ci ension T. The speed of a wave in the string is v. What will be the speed of a wave in the strs 1 scc+oi*ha3ing if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and len 7z7n j(6qcvihgth L is under tension T. The speed of a wave in the string is(qni zc 6jv77h v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. T a.d7 gr 23oq 2 v.r-w j76/tlrl4uixbpjoebb7he speed of a wave in the string is v./.4 v62od l-ex 37 b 7tqrlgap.2bjobj u7wrir What will 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. -/r*: hrgm rp9a+sbdr ;+rne m(dhn+x As an S wave travels through the Earth, the rela e+rm+rrn m+d h;bxsr*da9(hg :/r-pntive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a9sjt9h k (gc;z P wave travels through the Earth, the relative motion betweentc;j 9sz(hkg9 the P wave and the particles is

  The intensity of a wave76cv ol,) h,8wk6bzms:ah fpq is

  A wave pulse traveling to the right along a thin cord re3mrktgsr7cz1 -3l8synpa o; 2 m xa+1haches a discontinuity where the rope becomes thicker and heavier. What is 3-t 7aps2;rr 83 hmo ygnak lm1x1+zcsthe orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posit+n.tx7 ij1 oca6wohq*ive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poiit+o c6xo. hn7wq1 a*jnt that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The .+ a-.gz zlazrjwd3ix a/zd);one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direc rdxzziadz/z;3).+aawlg - j.tion. 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 bo/6bh/k(h e5ai emwby,th ends, occurs when

  If one doubles the tension in a violin 5yo*3k rhr1+gz*zi ii string, the fundamental frequency of that string will increas+iig*z5oh3yi r k*r 1ze by a factor of

  What is the spring constant of a spring that bw75cr.axl2vs- .k epstretches 2.00 cm when a mass of 0.60lc.pa2v7r. bx ek- ws50 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hori)quddf-4y ixg8-wx u .zontal, 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 -yqf dgi.w-u8u d x4x)oscillating. What is the amplitude?

  A mass is attached to a s),z( wn-;ymj3 gyalhn 5x0jtppring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.)hxyjw ( 0;, pgntjnm5-ay3l z0 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 along a horizontal, qhh od(b-zuem 2t/95c 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. Wha92qt 5mzdh/c -oe(ubh t is the frequency of oscillation?

  A mass on a spring undergu bs-u/ye r2r4oes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period -4b/srreu uy2?

  A mass vibrates back and forth from the free end of an ideal spring of spri9 8x5t.uqfvx xng constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m fro v9xtx8uf .5qxm its equilibrium position?

  A 0.50-kg mass is attached to a spri0 l6 ss4uy+kqjng of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in si4s ylj+s06q ukmple harmonic 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 amplitudgs;l /x +vp.e97x5nekuny;g g e of 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 ;9x+e.7syk ug xnv/g lpg5;enwith amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of sp3 +vthdrjhw61 -i)eubring 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 at6v ejh+ b1tuih)rw-d3 the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring *ev)dqrna h+l +; 0onoconstant 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+lro;)a+o n qedh *v0n 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 spring of spring constant *l ingyrisw z 261s9+g50 N/m and set into simple harmonic motion withys sgg w+91iiz*6n2l r 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 h;9dl:j*k*ou(3al 1hp vnrgm,6w uix zorizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitul6km;*hp9ax 1dgnu (u r j, o3v:zlw*ide of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fre a1;gw,redq* om the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.25,1ra ge*qd ;we0 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is db(t ocn9 2sk,.7oc 8+is:li)lo r fccqisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is n+ s lf2 l.ocro9q),oc7iicb:kt s8c(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 spriye5d /3e p(ve)mpg3z rng of spring constant 10 N/m. The object is d/p33em5 yze d(epgv r)isplaced 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/bpq22zk o;,/fhfnid80ktsrwm. 7wy 7m. The object is displa8,/b. nz2i2wm ;h rykwof0sfkt 7qd7p 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 from6*twadm rgj.+djv r97 a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of itgvtr9.rdj d+ *aw7jm6 s vibration?

  A mass is attached to a spring. It oscillates atz)ml 7u(m,p fk yz/jx m k,orhq;.2em. a frequency of 1.27 Hz when displaced a distanpx u f7z.)lm,mr2o;h .ymq,zk /( jekmce 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 different springs. Mass A vibrates witjr 6 cw9:*,+k-aa u hdnl5fhysh 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 k jch9ufw h6n: , rday+l-sa5*speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. ,wemhi2o1hc7io(4pc y5)l+7b j 0d4d ibatu oIn equilibrium the mass stretches the spring 2.0 cm down(541pe i70 2wyc ho iito4m7dauj+cbdb olh) ,ward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcuz4am)*+m tr4 ,h p7+gt frcpahes the spring 2.0 cm downward. The mass is then pulled an additional distanc )u+mr4prac*p,+f t4 hmaz7gte 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 mass3hogeh 0u s-)y stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released uso 03ehhgy )-from rest. Write down its equation of motion.

  An object in simple harmonic motion obpa 8l:1r vsl6qeys the following position versus time equ8qslp1r: la 6vation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timee ,* 6u1 skku4egadzfzawpg,x2n , 9v. equatia69kw n*a 4g.,21gzep, usfvxu zdek,on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmo4lz6h)kkrpe3 nc +gz(ed0l (znic motion obeys the following position versus time equczg+e(0l4h ( ep)zdzlkn36rk ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to theapa:* /4fjt3sep :yunty3-s e m eu:7n free end of a spring executes simple harmonic motion according to3an/ues3 j *:a-4n7mtteupy :p :sefy 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 witkzs d r +fzu+prj(lx9 b.1;w7nh a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. +j. kdf(l zwpbx7zsn ur+19;rAt 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 cyn* kku9f 0/ tj6q5 lyxx-)qeand per0l95 q)exjqkykc 6tuyf /x*n-iod on Earth?

  A 3.00-kg pendulum is 28.84 m :u) opuj0s;d 1raxo9 iwdzv10n. m am/long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its :yk.ilj sk4p;gz 0xi6 length?

  The pendulum of a grandfather cs*votbtr 7 fqy7y6gln/+j-z2 lock is 1.0 m long. What is its period on the Ea7v*rtb6ty jg/2of ql+7 y nz-srth?

  The pendulum of a grandfather clock is 1.0 m long. Whasb7c-+ m98yrdxqzqqs:r9 5 )q1 pqwwct is its period on the Moozc9qrrqcssqq +p w)d78x:5b1ym -q9wn where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass zyi/ k q i(.-w twtt(gu9d99kkattached 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 would have resulted if a 0.50-kg mass (same diameter sphere) had been attau.iwyik/tk tz9g9kdq9(- ( wtched to the string instead?

A simple pendulum consisting of a 2dk uo+:suz6c/qe+n, r0-g mass has initial angular displacement of 8.0e. It oscillates with a periodq do/ + ,n6rckeu:z+us 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 given timkqf5(eq/ysxo0r; ,7k9xdgspo r.p+re. The frequency of the wave is 1kr.,xs +7f5d qxsg(k ry pep/; o9qor020 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wavezvly +0cfx) ;e at a given time. The frequency of the wave+;clef y zx)0v is 120 Hz. What is the wavelength?

  Figure 11-2 is a "sn;decyd442h, r7kr*7 ) ppdpwgiib -g4ogo9 syapshot" of a wave at a given time. The frequency of the wave is 120 Hz. Wh4 db 9rwop 4oy;cygied2)* ihk7 gspgp -74d,rat is the wave speed?

  What is the frequency of a wave which ha:, cq u/avj(6oqq fbq:s a period of 6.00 ms?

  What is the period of 4y 52l6 q6fwxcr: ;si:y twudea wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 s6 g;tf/hjpe8kz .q;y Hz and a wavelength of 3.0 .;qjsf8kepy z h 6;gt/m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fmc3i7r mz b/l-requency of 12 Hz 7bcz/3rm-l im?

  What is the frequency of b7mc gam( 1qbh13 :plya 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.002xd b8nkpao*5 50 kg/m is under a tension of 1350 N. What is the w 2xd58bp k*noaave speed?

  A string of linear density 6.0 g/m ip.u7tx-tcbrt: 3yg c.s under a tension of 180 N. What is the velocity of propagation of transverse waves aloc:-b t. x7t.ructgpy3ng the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wir2nq. ; q6mou)1r 65bkey oyegwe whose totam6 k. ore)nq26;uy yb51egoqwl 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 fix fckl2+p/j xij3e3 (fued at both ends is 200 m/s. Which one of the follow/fjkjp3x lce if+2 u(3ing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folcm2) lwy;z,ws lowisw)c ym2,; zlwng frequencies can set the string into resonant vibration?

  A stretched string is observed k inb+ 595+h6aosydvu to have 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 equal segmena+v6 9 sub5d5k +iynhots?

  A string, fixed at both ends, vibrateso oo(j-yb5dchux. dz-(g3 mp:7 szf2s at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if t3gu hz(ospo5dcjbms2zd .(o- yf x -:7he standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/j:-ig w s-fme6m is under a tension of 20 N. What should its length be if its fundament -s:fg ew-jmi6al resonance frequency is 220 Hz?

  Find the first three har(b hl ve 4*pb-zmqvr.4monics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 4 p*q4mbrh-ebv(.zl vN.

A string of length 2.5 m is fixed at both ends. Whent,k5j6w nk0 rq the string vibrates at a frequency of 85 Hz, a standing wave with fiv5q,rk j6nw0t ke 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.