The time for one cycle of a periodic process is 4xu8bh w ojifh 5j- o97.04bwv ciliw6called the

  For a periodic process, the number of , 1d k l uycxqs0;ems7y4w0x3jcycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium poi o )khgn,j*/ pxdrjj**;+x1ldvozn(t nt is call joznk1/ v(jltjd h dp;r*)o,x+g*n x*ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displaceme98 d( pu+.wb :kx-gusdauej 5b/k,qbsnt from equilibrp .sdas+kbuw(/: 8xdb-5e, bgk9uj uqium, its instantaneous velocity

  A mass on a spring undergoes SHM. When 7sgl;g r*up2k4 csi3othe mass passes through the equilibrium position, its instang3i*c g;l4spok2 7ur staneous velocity

  A mass on a spring undergoes SHM. When sfi3y1ihw a10x6 v(v9l7vasy the mass is at maximum displacement from eq yia1w vyl907i(6 1vs3vas fhxuilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down b ,u;: efjnoa4netween points A and B. Where is the mass located when its kin on4e,na: f;ujetic energy is a minimum?

  A mass is attached to a verticayp2654hi0tvb+w ptm 6yb5 nhp5) cua gl spring and bobs up and down between points A and B. Where is the mass located when its k +p5pa 6 g0b5w h)4t2im56ubyynvtp hcinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A ap0xp 7phc89 wj*7zrs knd B. Where is the ma8kw7h7rzpcp js*90 p xss located when its potential energy is a minimum?

  A mass is attached to a vertical springjzfuhcal / ed ;;1s:c o,;-thm/dp4fe and bobs up and down between points A and B. Where is the mass located whomfl;/a/f4z-, ;:e cct ;u1hdepsd hjen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pro fn y -norf-/xk:o;je3duces what effect on the system's mechanical ork-:n; o jffey3-n/xenergy?

  Doubling only the mass of a vibratnbt llj779xnft3 o7y6ba(q (r ing mass-and-spring system produces what effect on the system's mechanical en 3l9ntt6j(a 7 frlx7(byqb7noergy?

  Doubling only the spriir )oe.tex/erfg)g 0 *ng constant of a vibrating mass-and-spring system produces what effect on theeo ) regiet0g r/).fx* system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where rzf8(t62 ok np 0mkqt.is the period thetpoq80krtzm (n . 2k6f greatest?

  Increasing the spring constant k of a mass-and) rrck9su v5q9-,nj yuo/thy)-spring system causes what kind of change in the resonant frequency of the system? (Assume no changeyc /9 k-o))rh su5t rnu9qy,vj in the system's mass m.)

  Increasing the mass M of a mass-afo0v8:d/ bbk and-spring system causes what kind of change in the resonant frequency of the system:/8 ko0df bvab? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a .q,pj0rb - ttotb x7i(l-r;zt+p a bz:mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes i:j(q ,z z btrt-rlb -7pa0titp. xo;+bn 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 mvxoxtvmi7 wt (rg,a97 lu/)1oass M attached to a weightless string of length L. For this system, whe,t77u t /ioa (mxr)vx9vw1lg on undergoing small oscillations

  When the mass of a simple pendulum is triplsczeo,(dy4 c kv1,r+3qkic4aed, the time required for one complete i34c,zccks (1yk,4eqd+ ov arvibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice su8xg3rn-tr jmk 0;(gas heavy as pendulum B. g jrsrtn ; 08x3-mg(kuWhat is the period of B?

  When the length of a simpltty:oj6vsq 6 lt 8ibn,b, 2xc5e pendulum is tripled, the time for one complete vibration increas ny6lj,62,ctt8qsbi:5b tv xoes by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are pho 0+ qb8l8:gawq*arincreas8lo0wqba g+:8rqp h*aed?

  Simple pendulum A swings back and forth at twice the frequency of simt 6pk6sc0 yfv.u+;sg2 bwz /cjple pendulum B. Whiguvzybssj .6/2wcf pk06 c; t+ch statement is correct?

  If you take a given pendulum to the Moon, where the acceleration utbw8:0ww-b:-j siqoof gravity is less than on Earth, the resonant frequen u-:bwoq 0 tjbw8:swi-cy of the pendulum will

  Curve A in Fig. 11-1 represents eh11x cotqe5dzn-79k k a75uo

  Curve B in Fig. 11-1 represerb ,bz14ha-c hk-: nfdnts

  Curve C in Fig. 11-1 repreuu i-0igfdh4e906f 7fq;cy epsents

  For a forced vibration, the amplitude oe5 :mfhmw5 fpbr9va :+f vibration is found to depend on the

  In a wave, the maximum displacemyf((hg / ,:o2r qgezcdh m8(lb)pb.dj ent of points of the wave from equilibrium is caprz)ed/cj(q, dlbb:8og(h hm( f2.gylled the wave's

  The distance between successive crests on a wave is called thea7g6r.b ea+x44 h ej 7iyac*rr wave's

  The number of crests of s yfi/0 k,p hho(/u/zua wave passing a point per unit time is called the wave' i/foh k/u0(y, szhpu/s

  For a wave, the frequency0k2pq+eek03os w-wc(;n egamh5x 3j(y3 ll yw times the wavelength is the wave's

  The frequency of a wagwk rbvb28am7i *a2,yk*x b z,ve increases. What happens to the distance between successive crests if 7bk2*bv2a wax,y, mg8 *zbirk the speed remains constant?

  A wave moves on a str 7nxb8od0q /dm l1 v(/yx0sht9ge+j jping with wavelength l and frequency f. A second wave on the same strimbv + t qgx d/pn(/07yl9j8o01 dsehjxng has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on h5.thul2ox) ea string of length L, mass M, and tension T. A standing 5 . 2uxh)helotwave is set up. Which of the following is true?

  A string of mass m and lenildr)i 1-3ilrgth 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 mass3il)r1lr id- i of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension Td8r bo1gz6ju *. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lengtd *6gou 1bzr8jh is increased to 2L, with no change in mass?

  A string of mass m and length L is wyn l3n( i/x)eunder tension T. The speed of a wave in the string is v. What will be the speed of a wave in thy/wl nxi 3)n(ee string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through t+e tjuh+8 .6 bsugdp;a +lygx4he Et8hgj+ dyps x4lu+b; g6 .ua+earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave.esnr;l2 cs+e0h,)qsx As a P wave travels through the Earth, the relative motion between the P;xrqsee l s0+s)nc,2 h wave and the particles is

  The intensity of a waveewtfx1 * 1xykj,u*n8g-pm+ ym is

  A wave pulse traveling to the right along a thin cord xa ,y,p9zlhab4gd u) c4+gwe(reaches a discontinuity where(ucx4bp dhlg we g49zyaa,)+, the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pasuq-i )nj,nu gf:yuj.7sz9 m, ps each other on a string, one is traveling toward the right and the other toward the left. At the point that tupmn-)gnijfu : z, 7qj su,y9.hey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. yw1z0 4nvf-a2+ki 873dhvvfx xvl ;oqThe one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction.lv1 k;v3q x+ -zvdwnxf 84o0a7y2ihv f At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed a9a/cya w;eo94* kfuzp)v l,ndt both ends, occurs when

  If one doubles the tension in 1y/ po.v1o p2q6. p3wcbnvewya violin string, the fundamental frequency of that string will inc c 1v/2ppwn1.3.vow6 bypyeoqrease by a factor of

  What is the spring constant of a spring thd.b5,s l1tzw aat stretches 2.00 cm when a mass of 0.60zwt.d a 5bl,1s0 kg is suspended from it?

  A mass is attached to a spring of spring con9e1 pqiw73jj1ixk4ij4c dj k; stant 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 it is oscillating. Whj1i9jk j7e1 4j4x pwc3ikid;q at is the amplitude?

  A mass is attached to a sprin f 0nz7q uk jf0dc(wnc-v7y,6og 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 6cfy700n dk,wqoz7vfu - jcn(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 spstnzh m8d0go) )8gik/ ring 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 )t 0)gs k8dg/mzino8h 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 8 3cl(qx cogw,zs r70nkrb:y9yta 1g) 10 complete oscillations in 5.0 s. What is the perior9g8)st1gaz3lcq,ko0 yn wrcy(x:7 b d?

  A mass vibrates back and forth from the free e/ 2jk7lwio3l 3luk9dz hhr 1/ond of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is r 23kowuik d1 /oz7jhl3/l hl9the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedzw+h ytoza9q.-/-f+ti sfhy1 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 ohsizayftt +f.-hw/+ o1qz- y9f 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The ep u1s eb3x 4 1fp6and -8vm,hniigt87anergy is 8.0 J at this time. The mass 1ap ihmid,fpe386sg4t7n-81a nv buxis cut in half, and the system is 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 i )y,zlf3no8h 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. What is the amplitude of vibrationhi ,o) ly3f8nz?

  A 0.50-kg mass is attached to a spring of spring c2o3-+iamp atlonstant 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 the potential energy the samel2oa-3m+pa it ?

  A 2.0-kg mass is attached to tutpfq9w j)0i/ he end 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 touwpf q it09)/jtal mechanical energy of this system?

  A 2.0-kg mass is attacj )l6t6mdzxll ;kjac.o 4:+q hdwq3. hhed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion willd;h qmzw. +jc3lq h )dj:xkt. a466oth an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from*gp1e:z joy79rtkqxh6vs(gx: 0b4 er the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energteb*(:xxpgze6rsh1o yk7v0 q4 jr9 :gy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm f clh g:0;1rdmihkia2 ry9;oo4 rom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequeigh1 2l9;kdaro0hyc i om;:4rncy 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. The ob6wj- *ls zcx0pject is displacj06zl*pwx cs- ed 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 obje 8 u 2jto rjh2yn;8:1xajinc9nbkp6+sct is displaced bj; bcr1hxyo:n 9n8akutjij+ 86p2ns2 y
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 spri1msk6,hn y5entdbck c0*+/ fh ng constant 18 N/m, displaced slightly from its equilibrium position,m*5 yd n /1s6t0ckh+bh, eknfc and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wheio uluy79d 4 hd3o,xs:n displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thh3xuyd,o 4os9 d 7lu:ie mass?

  Two masses, A and B, are attached to different sprin oi8 c4nir1 yyu7sncpc/4ux ;8gs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibupcyi8nr 7y i n8csc/u4 ;o41xrates 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 7biyaw-l ) (.v ;qyhy:.njwmm. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dow.j.m-wnb:ayv q i) (h;wly 7ymn and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended f9w4r9n2im3os/k ia von 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 the total energy9 n/rsioi4m93afv kw2 of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass s j0 qp.m4iqgw;9endb8tretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1qp08mw.;djeq n gbi94 .0 cm down and released from rest. Write down its equation of motion.

  An object in simple e4km+8s; : kdqtddzh9 harmonic motion obeys the following position versus time equatimdq h;s 8+4kz dk9:tdeon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmy b6k4o h(ju4syv;a-f 6v+w zjonic motion obeys the following position versus time equation o64s;w y4ab+v yhv ju6kj(f-z:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fole-7/ jkg 05dmkb-r yoblowing position versus time equatb ye-0r gbo /-5k7mdkjion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simp ffbn .m8oo 36oni8l-ile harmonic motion according to the 86i3.nnm ifoof8o-lb 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 20k5wc2 y-j,ujcq3fal 2 .0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by u,2ja2lc 3qfjk5- wcy10.00 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,ag11aw m5l fgwmdua944d jbw :z8z v3.0 s. (a) What are its frequency and periomdfaza1 a1j9g5 4mdub 3:,g vwwl w8z4d on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earto74.q gzm/ jggh?

  A pendulum has a period of 2.0 s on vf()6/ mdocbdEarth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period8k7vj*pft wl8h9gq d) on the Earqj pvg 8dtw*f 87k9h)lth?

  The pendulum of a grandfather clock is 1.0 m long. Wha6b sk 3hebkw pxd*2d7*t is its period on the Moon whep6*kwds2eb3h7dk b *xre the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a 8zu: kym0f9rqy:t q:j massless string. When the mass is displaced slightly from its equilibrium position and released, t0kq9::f 8rz yqmt yuj:he 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 hahf-dk+.w9 xvie j +ly-s initial angular displacement of 8.0e. It oscillates with a period of 3.00 svhid+-fkj y +w l9xe.-.
(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"-0:sl)rpta xgv p6 i1l of a wave at a given time. The frequency of the wave is 120 Hz. What is the ampli6apst 1:p0ilglvr -x )tude?

  Figure 11-2 is a "snap.oq *-w-bet3niz.k 3od9rn e(nl e 4icshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the waiooz9i 4 *3l eqnwnerk.nb-td- 3.ce(velength?

  Figure 11-2 is a "snapshot" of a wave at a given time rn1js3b l os:/e7*p t5-xrrsj. The frequency of the wavs1x:ot3pl 5js-errr/b7nj* s e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a perior,meol ,8/x9ue bv p0wd of 6.00 ms?

  What is the period of a wave ,ze 3)h6.ft f tijjzbhs i2wq68q/ 0fxwith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofc hc 71;y/ p5wevc 6sehz4n:mq 3.0p hw c/ezc14e:5q ms nycvh6;7 m?

  What is the velocity/(zz uy+6noa0 cxbu p5 of a wave that has a wavelength of 3.0 m and a frequency ofucz5axn/0 bupo(zy6 + 12 Hz?

  What is the frequency of a 2.5 m wave traveling at :2a9nlnneyv- 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under az7)wem1yg i 5c1.t ycfjia32s tension of 1350 N. Whatcyf1ai 1z7csmy2 53gjtw.)ei is the wave speed?

  A string of linear density 6.0 g/m is under a vzm:), uivfgo ho. rwj2 8pa/f/pr(t; tension of 180 N. What is the velocity of propagation of transverse wav28w(jffiotr/ /.mou);p,: v zgrhp a ves along the string?

A wave whose wavelength is 0.ycso0 /hj/ n4t500 m is traveling down a 500 m long wire whose total mass is /othsj4/0y nc
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 propagatioo.6m19f*snr j0 3ii bb /j56rfplbafvn of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant .r965 fbpo nvfa br1lij*sj 06/f bim3frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th1/cj dz*bu +uh-uta(t e following freq1 dhbzt-/ctu uj( ua*+uencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standiv- 7;2yjieu;i:ro4 ihumv5e ong wave driven at a frequency of 480 Hz. What driving frequency will emyi uvr25h74ovi o: e-;i;u jset up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a mkeq trvbxuw9(yg r36gp16 3i55 m:btstanding transverse wave pattwb (9mgt5g3ryk3 :px6u b6qr 1t vi5meern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dh;p,z5y pr7o wensity 1.5 g/m is under a tension of 20 N. What should its length be if i5p, ;zowy7rphts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of lineard6q.7cqmqhq4r(rpr8 jchk7 / mass density 2.00 g/m and length 0.600 m when it is subjq cc 87rdqk/h7 (hj.prqq46rmected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string v5z+u -ltu dx crxto,-g n)j:,vibrates at a frequency of 85 Hz, a standing wave with five loops-r:,c x x5)+on ud,vt-ltgujz 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.