The time for one cycle of a periodic process is ca 0/b2 pdm+ehk0b:xq37 pmgrarlled the

  For a periodic process, the number of cycleau*rhf.dys.a4 isor j(v- ;o .s per unit time is called the

  For vibrational motion, the maximum displacement from the equ381)j4zdl:hkf : cvwnmb mg, cilibrium point is calmn8d chj:l:v b kf,3mg)14 cwzled the

  A mass on a spring undergoes SHM. When the mass is at it1,ned6wm5tg z- czoq +s maximum displacement from equilibrium65g+qmzw,ez-t1 oc nd, its instantaneous velocity

  A mass on a spring unwy od r-0mvcoh73-xq3 dergoes SHM. When the mass passes through the equilibrium position, its instantaneous velohwo do3q0myx3-7-r v ccity

  A mass on a spring un ih0kn(8q),9bto+blr)pxsz p dergoes SHM. When the mass is at maximum displacement from equilibrium, its instantanbtpz(hikos8n,+0) lp 9bq ) rxeous acceleration

  A mass is attached to a vertica i(ibw:kwht z4.tpd6ry41;1i lodw p*l spring and bobs up and down between points A and B. wwioidb t( pw ;z4:k6*r1ythi4d.1lpWhere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up v wz )qxe/oh28(1gywmand down between points A and B. Where is the mass loca 1qy/wgehx(8 2vmw )ozted when its kinetic energy is a maximum?

  A mass is attached to a vertical springb i.r*rapy(x)0j 7rs r and bobs up and down between points A and B. Where is)py r.bj0xris7a (rr* the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up an p e*f,arzegfy43q ;0zd down between points A and fg4yr*z;3 0pafqz,ee B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amp w iquu6u78x)a )u ,yr+2c)efv/ob eahlitude of a vibrating mass-and-spring system produces what effe8/b)ehiou y , 6avua+ w)x)qu2cf 7ruect on the system's mechanical energy?

  Doubling only the mass u:*/djc)k2 8pzbffa u of a vibrating mass-and-spring system produces what effect on the system's mechanicalcz8ubu a)/:pfdjk 2*f energy?

  Doubling only the spring constant of a vw rm tct )ao3c6t:(p. p6usco:ibrating mass-and-spring system produces what effect on the system's )m6p.co6tcprso ::ttca u(3w mechanical energy?

  A mass oscillates on the end of a spring, both on Earth anni 3 r:dily(+ xsvz5:ed on the Moon. Where is the period xry5z(i +3en dl siv::the greatest?

  Increasing the spring constant k of a mass-annlzh.84 +(taimck 7 wi/3niz j9hmkm.d-spring system causes what kind of change in the resonant frequency of imh a+k49.z(w3 m n l.i nm7ctkji/hz8the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-anxmgxo9:kt0 ;1ih b ;q) nrkml(d-spring system causes what kind of change in the resonant freqxknbr x :t1)ikmo ;9(g0; mqlhuency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a skk0 s j-n//y g;vjxue++2ti umass-and-spring system causes what kind of change in thv+ux ;ikj2+ts-uj/ ks/e ng0y e resonant 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 str* 6fzy:r8du5ag7 i3asylqes + ing of lengtha6y5lz 3afr87+:ius g* dysqe L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required g7v8hx 5iq )yefor one complete vibratiq)57e yg8 ivxhon

  Both pendulum A and B are 3.0 m7v ccy :spb)wn,y 2z8p long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is thbpy 8vpn,w7cs2y)c :z e period of B?

  When the length of a simple pendulum is tripled3rc4(zs8ff)r)nde l fq cud8;, the time for one complete vibration increases byddr)4c fsqe f88zl ;u3(rn)f c a factor of

  What happens to a simple pendulum's frequency if both its length and mass aqh3(ue8bkf ,qre incre(kqh8 3,uq fbeased?

  Simple pendulum A swings bac;:c0 uyqzo8kr1mw6j,g 0c k oyk and forth at twice the frequency of simple pendulum B. Whyo o1wcy,8 zrk;m:0uq6kj0gcich statement is correct?

  If you take a given pendy9 hv.5v i0tifulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant freyi.h viv90 t5fquency of the pendulum will

  Curve A in Fig. 11-1em w)emw9 :o,f represents

  Curve B in Fig. 11-1k5:wxapbl 39p6+t pt r represents

  Curve C in Fig. 11-1 reprecc jigr(9(gh1sents

  For a forced vibration, the amplitude of vibration is founoi 14pq,/or xg3qh wtyoo;dlu x/ a+wp,o(y 4-d to depend on the

  In a wave, the maximum displacement of pocerj/u s(w-7/yj ,n+l9p.y os7xqjlut /;lxwints of the wave from equilibrium is callt 7o ne7j/lruxjw;y s -jq+s./ulxl9pwy,/(ced the wave's

  The distance between successive crest9 d9r q,qq i+mjz-zqz .hzngp,t1/pb9s on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is calle3q)24al k kpegd the wave's3ea2glkp4 kq)

  For a wave, the frequency vs 8l;ah8hya)6dk 4h ytimes the wavelength is the wave's

  The frequency of a wave increases. What happe3xj ;4o1f nrb6ydc h/ans to the distance between successivoj1;r3b axdn fh yc4/6e crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on cg:u*e*smv5w3q 3 r4ecduj dx( s+9)nqjh j*q the same string has wavelength 2l and travels with the same velocity. What is the frequency of ther*3c)en3vd *hum+ssjq9 j4xde5:qj*wu(qgc second wave?

  Consider a traveling wavg0ugfd- )wx+ev c v(p6e on a string of length L, mass M, and tension T. A standing wave is set up. Which of the f-6+ g(vpegucxv d)w0 following is true?

  A string of mass m and length L is under tension T. mrbej5jl8 5ra79 xf ptn vq/+)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, with no chj am j5lr+9 8f/q)txpevn5br7ange in length?

  A string of mass m and length L is under tension T. The sir66j8 z:./emmv qp- 7 eryrkepeed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with678 ij/rmzrk:6rp.ev e ymq-e no change in mass?

  A string of mass m and length L is under tensii0m+.r87ibxcxk /jm 2 ep 6th,,urvsg on T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is incrbchgkes.7mm j pu,2r8it,06xvir+x/ eased to 2T?

  In seismology, the S wave is a transverid ba46;o2mm bsl3fa:k7 nb( mse wave. As an S wave travels through the Eartbabb:3d ;mi(6 m 72lsnok4mafh, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P n wl)*qk xvgt(a+1 gw.d4: (yjv+kxqewave travels through the Earth, the relative motionk: jawx41w +t v(qv+.g(lxnekgd*y q) between the P wave and the particles is

  The intensity of a wave i;zl:jc lc:x v)s

  A wave pulse traveling to the right along a thin corzftoeqd8cju:u7(l 4 * d reaches a discontinuity where the rope becomes thicker and heavier. What is t:tf(7qj l ezu*oudc48he orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positu6e1*9om(drggq g7x p ive amplitudes pass each other on a string, one is traveling toward the right and the otherm d6 1(pqoug7g9*exgr 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 069rnq8ig: ndyc 0iu1cptz m: string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At theg::0 60c81imtp9izc ruy qnnd point that they occupy the same region of space at the same time

  Resonance in a system, such as ah tq7v 5aco;ya:5v*.p yqn0hm string fixed at both ends, occurs when

  If one doubles the tension in a vv(t* aovt eg:ojl*7ct 2:w :aiiolin string, the fundamental frequency of that string will ia:v7:*wt2*(cogevojt a ilt :ncrease by a factor of

  What is the spring constant od zefs :xwc-0)f a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended-dw0 :f xzce)s from it?

  A mass is attached to a spring of spring c7(wked gr( )saonstant 60 N/m along a horizontal, frictionles r(a7s(d wkge)s 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 the amplitude?

  A mass is attached to a spring of spring constant 63 yrqzh7uy8ke :2imw; 0 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;r3:hy2uz7k q8w ieym 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 constan)bc3hn*zqp ;cwmg,;syig01 ft 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 masswzn; ;cq) ,gi0fmc*hg bs13py 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. I jbf,xnmfu,s :vi97h3t goes through 10 complete oscillations in 5.0invsf9,ux3:, hj 7bmf s. What is the period?

  A mass vibrates back and forth from twbx c765h. hd s1u;fde67wesl he free end of an ideal spring of spring constant 20 N/m with an amplitude of .fshl7 e1wu c6s 5d7hx6bw;e d0.30 m. What 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 constant 20 N/m along a hogolk-s -t2us8zag x 7,rizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positiono7 ,xa--zksgt l8gu2 s. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this t.g rbvct7(-s gvsw-7pime. The mass is cut in half, and the system (7 v-pgsct-w s7rgb .vis 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 2r/-/pul)5zpnhla:m vz,l-k b0 N/m along a horizontal, frictionlepb /pla5 l- m)u,rkzvn:/-hlz ss 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 attached to a spring of spring constant 20 N/m1sa9 f4ih oq;) sfw etaxel7fil+5 -1i 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 aas51ft9s41e;+ oh q-a)i l7ifwfl xiere the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attach4dghd1+amn( xmmz x 1/ed to the 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 total mechanical enerm mx/n 1md4d1(gz hx+agy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring.s(7fz;kvz++avyt1d1jhth1 ssk 6jg 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 systemf k1vg+ js1.ydskhszj7athz (1v6t;+?

  A mass vibrates back and forth from the free ka.b gc,hc d3,ngu-i,end of an ideal spring of spring constant 20.0 N/m with an amplitbcknu,.3,,igdg ah c -ude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring e *f 2f8jyviv*system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm andfjfi v y8ve2** then released?

  A 4.0-kg object is attached to a spring of s0wykemgp .gmta4 u;/ 3pring constant 10 N/m. The object is disp;4egw ymg3 p t/0mauk.laced 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. Tz *lthe,3ny y85diu y2he object is displ2 5tdl 3yinyuz8 eyh,*aced 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 a/x mzg:sb6zra9ti-:vw t 0 10uask7zspring constant 18 N/m, displaced slightly 6zsvt :1 rszba- i/xg9ak70tmz0u:aw from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1klj8 wvd;s.t* .27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attainew ts8*jkl .dv;d by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with 3-.jyp 4wj.8zuar6x xixdtg/rn8yh + 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 A compare to the maximum spr4x+.8ah urzp/jywy.j8 x - g tdni6x3eed of B?

  A 0.30-kg mass is suspended on a spri+(fw+y ;/buz t xw9hbt kd*u5xng. 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 h9x */;fk b5t wx d+(yuwzut+bthe period of oscillation.

  A 0.30-kg mass is suspended on a spring. 12 jq q1ridgw4In 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 resjr1qgiw 1dq 42t. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on g7,yh3hx vircso/ ,e9a 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 downy 9/,x ge3hc,h sr7ivo its equation of motion.

  An object in simple harmonb(qs3s) 3 kscnic motion obeys the following position versus time equatisqsbcn)k (3s3on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys q463v:p:suaw fjy c6lbvvzn/3ad 7f 9the following position versus time equationf a4aqlc:du/9 yj6vp6w3 3:sfb7z vnv:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ve cnu9 ymq:i33srsus time equationqusc3ymi 9 3n::
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonirpd.w1d m)i j4c motion accor)pjw.i1m drd 4ding 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 constant of 20.0 N/m oscillates on0n; el,fs1i.ry/s n2:pvk x1dp bsmu2 a horizontal, frictionless track bsm12 1l2sspn:yrinf/. 0ukvpx,e d; . 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 completdx f. f2+l8p1kn zit/;vopg rvkp8 4k(e swings in 8.0 s. (a) What are its frequency and peridpk8z4 xf p.8;rvfkvl/p 2n 1o(+gtikod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periodg3y:ws9 gvh*ybbk9q 9 on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length4jq0r5a 5/m azhfv u6z?

  The pendulum of a grandfather clock is.1 y ;5 o)33yl2 sfgsp3wpbfliryt7gt 1.0 m long. What is its period on the Earth?s 1p3f23ly gil3 f t;sr7gyy.5ot )wpb

  The pendulum of a grandfather clock is 1.09,jwla g1wpxfjhn32egdy47 ( *tm u i1 m long. What is its period on the Moon where the f7ng2dejmtp ,h9x31gw*a4i 1y wujl (acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kti i2b3o 37i rcw-geum2p 01nqg 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 would have rw0erc72tm 3b3 nguiq2 o-1ip iesulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisn6jm-vg2 dg qnp9zjg4w -,rj9ting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a p6wnjprj -4n gqdjm-g z,g29v9eriod 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 time. The frequency j y7m/f0/iwyfud 1y 7qg knd,6of the wave is 120 Hz. What y,0y/6wfn yju71d mqk/d7i fgis the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the w-*:( j8plkk1apl bphb ljw0e 4ave i*ebj wpl0klj8k plp:4b1(ah- s 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at abhh5h8s lx* t 0mt-1zk given time. The frequency of the wave is 120 Hz. What is the wave 0 x bh*8z5-k1hlhttms speed?

  What is the frequency of a wave whic(*a g z,d32 kpsajjfvv4*ul7u h has a period of 6.00 ms?

  What is the period of a wave-+gy,h2 iqm8s i+9tnyvkjou 0 with a frequency of 1500 Hz?

  What is the wave speed if a wave has , 8 o ugz,yt7iks4ioji8niv ;7a frequency of 12 Hz and a wavelength of 3.0 i8otj4gi s,;ni , yvz7i7 uo8km?

  What is the velocity of a wave that v ,x c+opu8rah, khj0,has a wavelength of 3.0 m and a frequency of 1k,8h,vpx0 hoj aur+, c2 Hz?

  What is the frequency of a 2.5 m wave 1beg,(0e*ewyn x )rubtraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ofju /6ddeng, i3 1350 N. What is the wave speedd ng du6/j,3ei?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velok167aqyvx2ewb b+s p:tk (x9ocity of pro 9x 6 kb+ tyq1(wxkp:bsa2e7ovpagation of transverse waves along the string?

A wave whose wavelength is 0.500 ;hdsko mbah 7cdpv 6p,9aold73y1b *(m is traveling down a 500 m long wire whose total my l*1m kacvap;6bds( pooh b37hdd7, 9ass 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.q;1/wrvpmkiq ue.po0 r )c -o 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 frequou0o1q.q rpkw.me) ic- p;rv /ency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th-ma:bowk ry;mm7kn8vc 8)z b8e follow:aovwk8bmmc nm8 rk7y;-z8b)ing frequencies can set the string into resonant vibration?

  A stretched string is oblzze3* kw+an62fcz +hserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving freque wel*f3+nazh2zkc +6zncy will set up a standing wave with five equal segments?

  A string, fixed at both end6 l; v;bkfzu7oj zgu42c5g5;dmj o2ne s, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to g;6 7uve24 ojcguzzojnk2b;m55 d ;flcontain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. 8 +ah6u)4f-wbgngg-gxxjt w 8What should its length be if itstjguxg+gx-ww8 )h bn4-fa86g fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass deqa5b03drm x6bnsity 2.00 g/m and length 0.600 m when it is subjected to tabr5m6b3 q0dx ension of 50.0 N.

A string of length 2.5 m5 3svi dn ,g:m0l)*bziak j.sb is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops isb:* .j35kzn, 0bd)vigmias sl 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.