The time for one cycle of a periodic pr bxajfr7e.xf;f6- so;ocess is called the

  For a periodic process, the number of cycles pe6 yer.aritbw 42p 9 (mu(n;qsgr unit time is called the

  For vibrational motion,9w2l-dhd joy+pf /1q f x7eu8w the maximum displacement from the equilibrium point is caq/ x1h7dwfojl yp w+28d-9efu lled the

  A mass on a spring undergoes SHM. When the mass is at :byj/prf : px+its maximum displacement from equilibrium, its instantaneous velocity+/pfyxp: br:j

  A mass on a spring undergorb8+im 2*1d2nojwj kdes SHM. When the mass passes through the equilibrium positiono22+idrjnj m d1*8wbk, its instantaneous velocity

  A mass on a spring undergoes SHM. Wheo. u*u,d jek(,.5ycoyz g.a wen the mass is at maximum displacement from equilibrium, its instantaneous acceleratioewj .u( . ,oueyzdog,cayk.5*n

  A mass is attached to a vertical spring and bobs up and down between poi/dnq0k iapg*(4 ) bkjjnts A and B. Where is the (q/i*bk 0) anpd4jkgjmass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprin:gg9 vcc )vu2b8ffod+g and bobs up and down between points A and B. Where is u:dc g ovgf28)fv 9b+cthe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring anulf rtx,zye6 p 1.74p3v2zfee d bobs up and down between points A and B. Where is the mass located when its potential energpzfyz7 ree,tp6l3 vx2f4 e.1 uy is a minimum?

  A mass is attached to a vertical spring and bobs up ai1n*.aw0zhb +(o nowund down between points A and B. Where is th0.w+1o(wnazbo iun *he mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what qh 1nwi f*9t,hb,ypa) lh) 5oieffect iibo fth9,wanq)*h 5ylh1),p on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring sys7c5j7ndxa /q -( m)ee xia6mnstem produces what effect on the system's mechanical energyin567 ()ea7x/ x dnmqcjmae- s?

  Doubling only the spring constant of a vibrating mass-and-spring systizpg 6sqp:55 kgqz +9aem produces what effect on the system's mechan595zgakq +:ipqzp s6gical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moonf-aq1rv,v ,c xn xu w./ag.qd(r2.fr e. Where is the periodqr /uw.,e.ax2vx1.gcq d nr(v-f,rfa the greatest?

  Increasing the spring constant k of a mass-and-spring system causes w3 )8sl2:h 5ffeffl )pmbb0 rvthat kind of change in the resonant frequency of the system? (Assum bvht2f) 0brmpfle3:)ff58l se no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in 8iwgvhp/ff/l1d m.: v evt(e6the resof16gfw/ ( v/vhlie8ed.t m :pvnant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring +5mafiyfx3- x system causes what kind of change in the resonaixmy-f3+a x f5nt 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 consi8-hft a8vm e* (, sg;yg5tj1mi( jnnrdsts of a mass M attached to a weightless string of length L. For this systed8,gjm*vmtsnh8 ;-tn(yf15ga( ie jrm, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one col q9y44ayah7 j7 qcis3mpleteac7a3slq y 9y4q7 ihj4 vibration

  Both pendulum A and B are 3.0 m long. The t.m 2ca zg3q;q e:)j xf5bwsj7period of A is T. Pendulum A is twice as heavy as penduasc b:w7 jf m3g tq)exj;.q25zlum B. What is the period of B?

  When the length of a simpln ep09v.k0jk0o)x pw vr gw81fe pendulum is tripled, the time for one complete vibration incr kn0)ov xp.g0r 98 wpv01ekjfweases by a factor of

  What happens to a simple pendulum's frequency ifs79o)9tf. ao/fuf8 hj )q+pilg o5wxr both its length and mass are increas/9)5o+faifqtoho rs)xwlp fj 8 u97. ged?

  Simple pendulum A swings back and foi)0ffhxb6qs - h fyr2tz0bcdi p30yqw9 61d6yrth at twice the frequency of simple pendulum B y1trhc9s0q-qi 0ypw 0d6f)yb6xzhbf23 f6di. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of grav ,dze4* jcr6wpity is less than on Earth, the resw d6,jr4zce*p onant frequency of the pendulum will

  Curve A in Fig. 11-1gx d; o:bacve+7j .- e0aak+(ljxy1tj represents

  Curve B in Fig. 11-1 represents),3h. x,o*h/ djz6elkh)7 wiuf kpf hph+ n1sk

  Curve C in Fig. 11-1 represente4wo.uezm48n t:, vcqs

  For a forced vibration, the amplitwr pty)l-/ts0t a06:x7eoml ,q ffq6j ude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from s,*ad+mr dao/f p8:dgh-ycu* equilibrium is called the wave'd*c+p*dog d,:r-hs aamu8 f/ys

  The distance between successive crests on a wave is called tj1idlr ll3t39 .gg tm1he wave's

  The number of crests of a wave passing a point per unit time is q.h *n+s;uyh0g2 kd qq*f z-ggcalled the wave'fhs qk*h2gu+z.-*0q dq ygng;s

  For a wave, the frequency times the wavelength is th-noj zh rw(s62e wave's

  The frequency of a wave increases. What happens to the distance between successo6pil pnm:maq-7- g-vk(n:k ,,jmvw oive crest ,-vvlp (i,w oj--m 7mo:kmn6gapqk:ns if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wav5duc zs)7zwyb2t .5a ee on the same string has wavelength 2l and travels with the same velocity. What is the fre7b.)wzu 5saey dzc52 tquency of the second wave?

  Consider a traveling wave on a string of leyb xg(gu90 (8w-p7r b(holtukngth L, mass M, and tension T. A standing wave is set up. Whh8(7 gb 0kx p( gtbyuw(9-ruloich of the following is true?

  A string of mass m and length nrz7w2nb7 n 0oe,oc;i 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 mass of the string is increase;norb0c7ow e,2zni 7 nd to 2m, with no change in length?

  A string of mass m and length L is under te4heg.yt idv.) j,t 0ppnsion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increasedvtg, pdipt 0he.).y 4j to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The(w 8cf cpkdup5b-x 4gekj;8z2 speed of a wave in the string is v. What w wz 8-j5kpufc( 8gd;pb4 cek2xill 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. As an S3zp, izmx0b+wp-1l+gm ecj*c wave travels through the Earth, the relative motion between the S wave and the particlesel px13jw mmb*i g++c0z,c- zp is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throq 1lcpuhm l2i n0rmj 9f4z780) dkvu9qugh the Earth, the relative motion betwe2ru 00 mclq zp9ukin)qv8lj mh19d4 7fen the P wave and the particles is

  The intensity of a wkqs f7-ujd9 ytz))x(vave is

  A wave pulse traveling to the right along a th1 mo s/pyku39j2 wz mh9jq 1qu,;f/zexin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected anf9jp smxwoy ;hk uq3m/2u91q/e 1,zjz d transmitted pulses?

  Two wave pulses with q6ky/ xl.lkh3equal positive amplitudes 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 regkll6/yx . q3hkion of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rigmn 27gy2(f7hgeh .kra ht has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of erhh2mga 2yn .f7k7g (space at the same time

  Resonance in a system, u jy)j 5gaov59:e.e+pum zk7qsuch as a string fixed at both ends, occurs when

  If one doubles the tensi k;vxvwzt2 00gq9-cc kon in a violin string, the fundamental frequency of that string will increase by a fax g0k; 2w9c-kv0z qtvcctor of

  What is the spring constant of a spri,gnn b20qu mu,er 5+ojng that stretches 2.00 cm when a mass of 0.600 kg is suspendedqu5u je 2o0gnrm, ,b+n from it?

  A mass is attached to a spring of spring consta q 562 aydihlav( 5cd7zev*l:jnt 60 N/m along a horizontal, frictionless surface.azi55vhq*7jlycd(: 2 6ldeva 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 60 N/m along a h o76fb :kein4t2pqe6borizontal, frictionless surface. The spring is initially stretched by a forc7 :pbq 64ik26o etbefne 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 sprinyw/ nh um6nqo8sdb7) nj5j53ng of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretchenuw5 h m/5q 8onjn)nj6ys7db3 d 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 frequency of oscillation?

  A mass on a spring undeu/e:x)0pnnv32xf s n13ckt q krgoes SHM. It goes through 10 complete oscillations in 5.0 s. What is ncp:u kne 1x ) q0t3fxk3v2sn/the period?

  A mass vibrates back and forth from the free end of an ideal spring of 4aem vnvjyb/1q z* hs.,e5s5 zspring constant 20 N/m with an amplitude of 0.30 m. What is the /qz m*v4v5yjnhs 15.ezea,sbkinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spriny2pw9lg5qej+kz gp.og -n;g 8g of spring constant 20 N/m along a horizontal, frictionless sur2pw-g .kej5golpg gn98 yq ;z+face. The object oscillates in simple 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 amplitude of 4 uhd8kfq tpl .zbd 2+-*cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is fl-bpd8t+ dk uqh*.z2again 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 ogs5u )y6koei67a: dslf spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates 5y6u7g)oikls:6 daesin 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/:3 cotqa v*v6zm along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of3:q6oacvzvt* 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 ojw:8zqvavr2ck 27-aspring of spring constant 50 N/m and set into simple harmonic motionqkac-v872 aoz:w2 j rv 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 horizontal spring of spring cons1;trzl1l ihw3)nf3p j 5pu c6etant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the13 3ciuejh;1f r l5pnwp6)t lz total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spp s k o/+uhsni845npc6ring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mppc5oku /648+sni hsn ass?

  The mass of a mass-and-spring sybuyl gzk hjr/nou51z.4n*9,vstem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed jgnn5.h z19bk u4 ury*,zlvo/. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached6-)de8ac(cgv ;w e kzb to a spring of spring constant 10 N/m. The object is displacevc ;dwbc68ke-)a z ge(d by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is atf2 47yn hkzd-i4rmk;dtached to a spring of spring constant 10 N/m. The object is displace d -2nkyzki7 h;f4dm4rd 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 cobwem ttxl8ami 4y6k4+(u ;s .qnstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its eml44m kq. 6w8;bxay+ tus(tivibration?

  A mass is attached to a spring. It oscillates at a frequency k,, o ohcnbc( vgxz3c2ai(ox ;pl-h+9of 1.27 Hz when displaced a distance((9 cgox-o, zhc3bnivol 2pk +,hacx ; of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are a-n1qe xqflp2 p927 iggut ob//ttached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz anxqg 1eq9bp2it7 -lof g/u /2npd 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 speed of B?

  A 0.30-kg mass is suspended on a spring. In equild6* v y4dhzwh5ibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and r*hzwd6y5v d4 heleased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the masx0zmb7 a+ry+gic0 v 1 ro1dn8hs stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1+ d7iy80gra +mz n10vcxrho1b .0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sprin)so1v5q1z ax h*o)l,) ccaxp wg. 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, 5qos)xph v )o* )1zwca1cxal motion.

  An object in simple harmonic motion obeys the following position versus timetg, )ushf vpe 8d- ycv/lq:j)+ equation:svjc8tglvy:d/u-qp f+ he)) ,
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equ 2 :-ojf,g,rxpjabo* sation2-ob:gafpox,j s*, jr :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harma hum9+fgy7 dw/nycb :z3 )gogg 52u1honic motion obeys the following position versus time equa y)z/ 7o m3agfg1yu9ugn:bw 5hcg+hd2tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion azieu *;zyv a9k928a qdccording t89qk z9vuez d*;2a ayio 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 sp3 kp y2 g7t;1or 3,rhxbery+z4 fh4al2mkz;vcring with a force constant of 20.0 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 z,tko3 zr4pblemrv 1k 7gfh;x4y2h+;ry32 a c 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 it5og-xc p va2/fs frequency and period on Ear oaxf-cvg/2 5pth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on E b48 wromm*d-garth?

  A pendulum has a period of 2.0 s on Earth. Wh(5qje/4 : fkoc a1.bj jkrb7otat is its length?

  The pendulum of a grandfather cll/fgscy c,rdq)t 3:ajjc75;bezm2w1 ock is 1.0 m long. What is its period on the Eartzc3a1)7egb, yj:f;2wqc rj /lmtdcs 5 h?

  The pendulum of a grandfatx)v )v -a*l n7greiz9rher clock is 1.0 m long. What is its period on the Moon where the acceleratgvvx9*e)i )nz -l7arr ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachh yogkm:3;y)v ed to a massless string. When the mass is displaceoh yyg;k):v3m d 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 attached to the string instead?

A simple pendulum consis2i qc qq(m;p7gting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a perioiq 2pq ;qcg7(md 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 wvu0/co6 hm5 fqave at a given time. The frequency of the wave is 120 Hz. What is the amplitud0qfohum/ 6cv5e?

  Figure 11-2 is a "snapshot" of a wavek/xya.9t 6d .yv hxer- at a given time. The frequency of the wave is 120 Hz. What is the wavele. y6ak-txy9v.hx de /rngth?

  Figure 11-2 is a "snapshog q-t:gn o ,-pvx2fa0 arza-o*t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speedt-q : g-ranxoa*0fv2g-zp,oa ?

  What is the frequency of a wave which has a period 082t/ensezl4 afg5 3s7swv wa of 6.00 ms?

  What is the period of a wave yj 2 up(y mkirzv*:qkw:;ji4jk p,++ lwith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengx,z h.hh/x0bu 2)sc math of 3.0 m ahx2h. sh/c)0 ,mxbzu?

  What is the velocity/l1uk/t*zjj s of a wave that has a wavelength of 3.0 m and a frequency of 1z*sj j/lku/t12 Hz?

  What is the frequency of a .sxhy(m,j;n y2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a ten5/wpwfkw-9:1wdj gzcwxscz9 (b a9+y sion of 1350 N. What i z1fgsjwk9zcw/wb:dc5 p+( x wy 99wa-s the wave speed?

  A string of linear density 6.0 g/m0ks:d8vph 0wb) pi :ol is under a tension of 180 N. What is the velocity of 0bd:wh8ilo )0 :vppks propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelinsi/3 et8h7 asbshi8 h)an.jjew g4m(.g down a 500 m long wire whose total mass m 7 gn4 jh)ij/a(.ehsbh.a8sts8we3 i 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 wavha sfn59w+)g ce on a 2.0-m long string fixed at both ends is 200 ms5 9gh+n)w caf/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequew ,e9yhpi yr72ncy of 500 Hz, which one of the following frequyew7r,h 2y9pi encies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standingjszn 0fb7 qz;4 wave driven at a frequency of 480 Hz. What driving frequency wil04 qzns;7j zbfl set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fre(eo8h -vy fs4squency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loovoye-48f(hs sps?

  A string of linear densit1g/lmiyc 80ato7 . jobu-p3azy 1.5 g/m is under a tension of 20 N. What should its length be if its fundamepubt 3a /lc jayi1.omg-8z o70ntal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linef6qtf.c pv1486wtjogk j) 2 ffar mass density 2.00 g/m and length 0.600 m when it i4qg 6f)wfj2 t8jtkovf6.fpc 1s subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the syej0 6wkxb u dz/),a1mtring vibrates at a frequency of 85 Hz, a standimwu/az0k1, )d bx yej6ng 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.