The time for one cycle of a periodic process is called *kmi9y gi*bd ev73h 8uxk/))kx9j rwuthe

  For a periodic process, the number of c6mj9yv 1)-k).v jx caynb wy4 y2gqrq:ycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is q 2 w+n.ylu/tb6i:zb pcalledl2+/6t.qipyz n: bwbu the

  A mass on a spring undergoes SHM. When the mass is at its maximum displ 9 h-lg+f3hy0g)eznkz acement from equilknyf0)9z zg gl-3h eh+ibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the8ml; ksc:w2o6 ykn;fu equilibrium position, its instantayofnlk;k6 :mw28; usc neous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemenon +hlr: a 3uu(8g7ikrt from7gnu(r : + loahr3kiu8 equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points ,w+4 e*j7dryf (0l5bfujm hyaA and B. Where is the mass located whe4jj fya m5*lr+ b(dwuhy7f,0en its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poi:tlm;ww xw2ilhf d4:(nts A and B. Where is the mass located whe:x :mlwd ( ithw2lfw4;n its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poi/z(9yqlwiy:nmo* i :x nts A and B. Where is the mass located when its pn*oyy9x( wzmil i ::/qotential energy is a minimum?

  A mass is attached to a vertical sprzeqf2y.sj p v x-b.z(6ing and bobs up and down between points A and B. Where is the mass locyqj-pf(b.x z62 e.vszated when its potential energy is a maximum?

  Doubling only the amplitude of a vibr nsvz -2rzc8:xating mass-and-spring system produces what effect on z2:x8 nzsvc- rthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-sprino+9kb vvkv., wg system produces what effect on the wov,9bvk +k.v system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pr;ncg an 64ilmmc3x/*bw+ hwd. oduces what effect on the system's mechm lc wna 4*m+nxdw3i.chg/6; banical energy?

  A mass oscillates on the end of a spring, botn0( qxi *gr vuc:gm1x+h on Earth and on the Moon. Where is the period the cigum vx(g0qxn 1*r: +greatest?

  Increasing the spring constant k of a mass-and-spring sl7o,ii u :ew2uystem causes what kind of change in the resonant frequency of the system? (Assume no change lui:u ow2,e 7iin the system's mass m.)

  Increasing the mass M of a mass-and-spring syste(h,o - ,s8m8xd sekxkkm causes what kind of change in the resonant frequency of the system? (Assume no chaxhomsxk (88dk-,k s, enge in the system's spring constant k.)

  Increasing the amplitude of8jr j2.l zyiu 2/brdolyh,3o5+tp6ce a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the syo,382e5oljylch+/ yiuj rr .pbt26 dzstem.)

  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 m0i j5t)rmz. k ;vwpn1mass M attached to a weightless string of length L. For this system, when 0t5rpivmwj)z.km1; n undergoing small oscillations

  When the mass of a simple pendulum is tripled, lr88ez6dmjkwc*hjlu.x1 ;l . the time required for one complete vibrat;llx8cld rew. 1hm6.*jju 8kzion

  Both pendulum A and B are 3.0 m long. T:axk,djk :zr0 he period of A is T. Pendulum A is twice as heavy as pendulum B. What 0kaj:zxdk ,r:is the period of B?

  When the length of a simple pendulum is tripled, the time for one completefi92z j d s;3 ,nw.;jsoh(ekgp vibration increases by a facto3ozg 9jw h,;p.(einds2fs; kjr of

  What happens to a simple pendulum's frequency if both its length and mass are in6onq.d,r,+r tmev(as creas,,qoam dr 6s(n.+vtered?

  Simple pendulum A swings back and forth at twice the frequency of simple pendul-o ;y)l x zks3 ;1c5it 4-ek m3fzk1vgnmhfe)kum B. Which statementx enfv41me 3sch;;) y5zkkomi- k) tz-3g kfl1 is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravit) ; 1v it2mbj ;ru,z3je0stjdpy is less than on Earth, the resonant frequency of the penjz;)s uttve3jdm ,j21i rpb0;dulum will

  Curve A in Fig. 11-1 regk9,jfjw4j d ,xug cx:8 jzv21presents

  Curve B in Fig. 11-1 re tbvz/b3qpx0 (8vid7e presents

  Curve C in Fig. 11-1 r-,b8rwanoedhm az .18epresents

  For a forced vibration, the amplitude of vibration is found to depend onu7vz5am 9t/j 1z (nmrb the

  In a wave, the maximum displacement of points of79 1oib revzul 2c(nx0 the wave from equilibrium is called the walbvo ec( nr9ixz2 071uve's

  The distance between successivorj a1(z2 i;gywbg7(2j vgv1ne crests on a wave is called the wave's

  The number of crests of a wave p)klg9 l wieqikry,)8-assing a point per unit time is called the wave'sigylke-wl ,ki q)8)r9

  For a wave, the frequency times ti a0:sb5 n,qiu*w/slx he wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between success7b9zlp:grgo ;ive crests if the speed remains ggp9r7 z bo;:lconstant?

  A wave moves on a string with wavelength l and frequency f. A second wtxo*y 4dwo,-wrl ,2wphm5c ) eave on the same string has wavelength 2l and travels with the same velocity. What is tp ht ,y* 2cmw)l4o,o5edwx-wr he frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. pz3n9+v m(dm82 pddfrA stanpdvzrdm92 md8p 3f( n+ding wave is set up. Which of the following is true?

  A string of mass m and length Liu9/w1g ,e7df(n qa qnt(oj :x 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 increased to 2m, withu j/w qae,:o( n9tf 1qdgin(x7 no change in length?

  A string of mass m and length L is under tension T. The sptznjhnmkt6zm + .kq0, 6z:fm5eed of a wave in the string is v. What will be the speed of a wave in the string if the le tzk tm:6mnzn0m ,+q kz5f6hj.ngth is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed.4dcjp06. ofk xfgka3 of a wave in the string is v. What will be the speed of a wave in the str.4apxkkj f63c.d fo0 ging if the tension is increased to 2T?

  In seismology, the S wave iumv knaqg-tb4 fgpqh zlk32i6; c. p/,-90 ybis a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particle k/-c4qzu6fi b - pavmgp3.y;2qi0kbl ,hntg9s is

  In seismology, the P wave is a longitudinal wave. * 2wknk ll - yknz543.6yllaomAs a P wave travels through the Earth, the relative motion between the P wave and the particles in ll.-z4o2n*5mwky63k ylkl a s

  The intensity of a wave l gtxw5lu/ 3cg+mb;a jgo d bw/2h68:vis

  A wave pulse traveling to the right jxvrj ks(r+ hc1d8o: /along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientationrcd8:jv+(ox h/ks1r j of the reflected and transmitted pulses?

  Two wave pulses with equal posity7oex x-3wzbeb+8cz9 ive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupyx z9-ebe+wy8b3x z7o c the same region of space at the same time

  Two wave pulses pass each other on a string. The one jf5l4ghz3a -:-bos zstraveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative a-534hgl z:szfjbso-direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string+wniye- sgf:, fixed at both ends, occurs when

  If one doubles the tension ig7* d 9t4llnvpb:k-zxxbv;4fe lyi9 0n a violin string, the fundamental frequency of that string 0 g kev lp9 d;nivlz4x:f4txl7b9* -ybwill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a maw.tf1z7, wbf dss of 0.600 kg is suspended from zdwwf7f1 ,bt. it?

  A mass is attached to a spring of spring constant 60 N/m alonh qx9pg+mg8 ):db oh.ukp7wn-g 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 top: hkqx dw89gp-g.)mho7+ nb u its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m alon *h+c aee k4kdrr8o9ubv mr6:vaq(,1hg a horizontal, frictionless surface. The spring is initially stret* 4bh+qmk rc er8vvukh9a,edoa16(:r ched 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 springk e r sst(yb 3j z*f;w:75eal2ar2ed+n 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 go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. Whase7 2; l5r(n a*fsr:2jebz3ew dat+ky t is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complekhq)03 pn/vxmrk0 6 nbte oscillations in 5.0 s. Wh 3k06)kbrphv/nq0m nx at is the period?

  A mass vibrates back and fodm du 3p2.mq jydmmshd4 ) 8jyl)i8z)4rth from the free end of an ideal spring of spring 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 from i 8sdzm il2mp))hdy8q4 uj3 my)mjdd.4 ts equilibrium position?

  A 0.50-kg mass is attached to a spr(q ht 4u rt85fi4e 56/9damzamqc, trsing of spring constant 20 N/m along a horizontal, frictionless surface. The odih t9c m/ metaz86rtq5sq,u(5 4af4rbject 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 cm. The energy is 8.0 J at this tiz/* v f*ar,ddl)/sft ume. The mass is cut in half, and the system is again set is,d/l u)r zda *tvf*f/n 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 conwk(u.r :p7 mvestant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spek(7eu:m wrpv .ed 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 spri)n hzs/v(6obu ng constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motio/ vn s6)z(uohbn 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 spring of spring guhxxv :7x4/cxz:vlm(b l b9) constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 mx/x 4v 7l9 xmh:vgbclb)xuz(:. What is the total mechanical energy of this system?

  A 2.0-kg mass is attacawk( .aulr8lh*bg*njn ss/k *v5 9e c1hed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an awk e/nl* u( alj8 as1vnr*kcb9gsh.5*mplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth frdn2yc 2ekgw8287fszv (+r fnzom the free end of an ideal spring of spring constant z82re 2+87(y2nfvwcsf dz k gn20.0 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 equilibriumzis,)sxn)s t+ position and released. A frequency of 4.0 Hz is observed. What frequency wo) tn, +s)izsxsuld be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to ro d3e . (8u-4usptwcpa spring of spring constant 10 N/m. The object is displaced br4.spcotpew83 u- (du y
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachewmafl 1/o:wnl9 b0)ksj+g6n4hg*j v zd to a spring of spring constant 10 N/m. The object is di kwaj/vzmjw*+los:1 9nhf 4)0g lbg n6splaced 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 18 N/m, displaceri: aw3x u vi1xs7h3,xd slightly from its equilibw3hx7x3 1 i,ixravsu :rium position, 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 when dnvt3fpap e:1ifwwbbh,3;6 a +-i- jnrisplaced a distance of 2.0 cf3riw 1+bh:3i vf,jpa --eat np6;wnb m from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Masso3a:3cq:mk+ rzs: hi k 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 does the maximum speed of A compare to the maximum s3 :: zsriko3+chakqm:peed of B?

  A 0.30-kg mass is susvo3x.6p5s)isgb 6v lhpended on 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 frov)vx5 ih s63gs.b6oplm rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass streahsy k v1;b.k0tches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releas; y0bkk1.hv ased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspends7;qvws wme f e.n6kb0d 1-h1ued on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addition 7fkd.6w;0mebweqv1u1n h s-sal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the.h 0s;z 1,yoroiln fj9 following position versus time equatrsj n,z. 0i1h9o;lfo yion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versu+ d caldli8v 5kx)y7:yblo, 8js time equati:8yyi+l o db lcad7)j l8v,5xkon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followi7(/:vhs6va0-l lz3j pf n) lnxrhdoc)ng position versus time equalxo- n3nflj7d 6zl)cs: )(a /ph0hv rvtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiobrugp:teq(096 -zqm ln according to thuzr06 qgp-9 q(mblt e:e 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 toc t79ot-do qf, spring 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 is stretched by 10.00c7oqtfd,o t9 - 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. (aic;a. r*6u 2xsmfxo. d) What are its frequency and period on Earxsfr.ao dxm. *u6c;i2th?

  A 3.00-kg pendulum is 28.84 m long. What is ikii 4+ v2*frp/ddb uj*ts period on Earth?

  A pendulum has a perh k*z x 9va(rg:v.gns0iod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather(tzt evcgc 8/glnkd) q8f+zsb0v 4+s9 clock is 1.0 m long. What is its period on the Earthb48s9 c) t l+svngk/dcf8 e( gtzq+z0v?

  The pendulum of a granh1mm.t (p fi7pj*/li ndfather clock is 1.0 m long. What is its period on the Moon wherenh ji*1li(t.p7m pmf/ the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass we1ijy f/prrg:96 (6h 33 rpabgty:laattached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum sw6eyr3 at1gglfr9j:/ (wp yipa r3h6:b ings 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 has i6cv xdn 6q/g im6vgy33nitial angular displacement of 8.0e. It oscillates with a pe 6n3dv x cyv6gg3/qm6iriod 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. Tb.1/d am.xpdh q y7 qb,u4bwx-he frequency of the wave14pxb b b d-m,dy a.7/h.qxwqu is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" ov i7t0qa ul2aqapw;je5. ,m3if a wave at a given time. The frequency of the wave is 120 Hz. Whaplv qji7a;2m30atwq .iue ,5a t is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tim0fswy- 7es3afm8e*:h aww, vre. The frequency of the wave is 1 ey3wsw 8ah f*:rea7,-mvf0ws20 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 m)5gt qd4c 0qlwrp+ r+io:4j jos?

  What is the period of a wave wakkq8ra:2+kv oh z3n6ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a fr4 mx6dwyv8l g,equency of 12 Hz and a wavelength of 3.myv,g6x ld w840 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequ8kh39wexsp +h ency of 1kx+8sh39h pwe 2 Hz?

  What is the frequency of p*feml6l g2o/ ps50 xta 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass den0l d55;ka ipsh( oabk1sity 0.0050 kg/m is under a tension of 1350 N. Wh1sa dhoibkl5(p5k a0; at is the wave speed?

  A string of linear density 6.0 g/m is underbo;deck 1f8ox iry *05 a tension of 180 N. What is the velocity of propagation of tran r1b di8;e5*kc0foyoxsverse waves along the string?

A wave whose wavelength is 0.r z6(pcb .,7w 90 g5hwqqhowow500 m is traveling down a 500 m long wire whose total maz 95oc qh6w 7ow,wwhb0rqp(.g ss 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 -. jj 1jxn)-l(mnqx ybof a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s.x jln()n q-j1 m-xjb.y Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency obkz+/plc6crtud(y 4(uec+aha) /s5nf 500 Hz, which one of the following frequencial a(ubn/de( 6kypcztc4)cu +5+ rhs/es can set the string into resonant vibration?

  A stretched string is observed to have fovxcvh+n:8 )pmkux 5 1pur equal segments in a standing wave driven at a frequency of 480 Hz. Wha kvx58 mphnxp)1+u c:vt driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standip:t )xr/nk0i x yn q+or3quw3(ng transverse wave pattern containing 3 loops. What frequency is needed if the standing wave:ykn+p tiu r 0/3q)q( rw3xnxo pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a 5nhauhv /scd+ ;3s ifn b*8x0itension of 20 N. What should its length be i5h3an; b i+/ s0dcvshxfn*i8uf its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear xk3xubln; .1:v;icu jmass density 2.00 g/m and length 0.600 m when it is subjected to tension 3.cl;v u ubj1i; xxn:kof 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a alpz)2(qdtzw a(12 wazn0m3cfrequency of 85 Hz, a stn(z wczlp )tqmd1(20wzaa2a3anding 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.