The time for one cycle of a periodic process is called th+c jlo.q4ld-te

  For a periodic process, the number of cycles per :2 klcp-mhcb th:,+dq/vsfk0 unit time is called the

  For vibrational motion, the maximum displacement from the equilzbsf(k;epvga6qg:6 *e0m1gh/ x/ae p ibrium point is cal(/ea:gpv m 1 6skb0 g ae6qhp*e;fz/xgled the

  A mass on a spring undergoes Sf5fk cln1 f n2cnf+n1im+a9x8HM. When the mass is at its maximum displacement from equilibrium, its instantaneous fx8kf f+nn29in c 1a+nlcfm 15velocity

  A mass on a spring undergoes SHM. When the mass passes through the 7v 1 yolv;.hfq)wv(lv equilibrium fvh .)vlovy 7ql(w1;v position, its instantaneous velocity

  A mass on a spring undergoes SHM. When the massnsz si7t *;q h vu;8ju9loj3as*6ze)c is at maximum displacement from equilibrium, its instantaneous ac9su co*8h vzstza6 enj;)q3 jl;s7 *iuceleration

  A mass is attached to a vertical spring and z9lw : wt/lbq+bobs up and down between points A and B. Where is the mass located when its kinetic energy isl+ /wb tz9:qlw a minimum?

  A mass is attached to a vertical sp 947 xal3qs,gv:uvqsx ring and bobs up and down between points A and B. Where is the mass located when it4 sav,:7l3 9gqx sqvxus kinetic energy is a maximum?

  A mass is attached to a vert3xhtw-jd :aht s1 *twq(.ml2uical spring and bobs up and down between points A and B. Where is the mass located when its potential energy i*js :mtqdx .ha23 ww-h(ut1t ls a minimum?

  A mass is attached to a v5/4. dmhg27fgt/( i1 wa epervq)ce wsertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maxim1gd4 7eiemw25w/ svf( .a)tgrpc/eq h um?

  Doubling only the amplitude of a vibrating mass-and-spring sy gh1ztl kj328 s.nhqai0egl.3stem produces what ea1 n2q8jlh0 ezktis3hggl.3. ffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spr/m1go3 l hn1 q:ab2 eq6pir8dzing system produces what effectg3b2mn rah:8o1p6l e dqziq1/ on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syste.jh5 o(6dw luxm produces what effect on the system's mechano5 h (lj6w.dxuical energy?

  A mass oscillates on the end of a4jgb jj1m7(nv spring, both on Earth and on the Moon. Where is t m7bg j(1jn4jvhe period the greatest?

  Increasing the spring constant k of a mass-and-spring a7zuq2n i; mxfnkxk n 5h6(44zsystem causes what kind of change in the resonaxkz26n(iahk 45 xuznfn ; 7qm4nt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caixksph. :m :(yaluu9-pa8x(x uses what kind of change in the resonal9sxm. a8ukxu(iya -p :xp:h (nt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-an4kuus.mf6) tz d-spring system causes what kind of change in the resonant frequency of the system? (Assume no other chauz6um f4ts .k)nges 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 atqqvpqd hf 8 s rcoj,2;yud;ad(,e(b* 4tached to a weightless string of length L. For this system, when undergoing smal8uqchs42ajd*yp dq ;rd ,qb;(o(,efvl oscillations

  When the mass of a simple pendule o6 n)aefp;muv-tvkd9/ j (,bum is tripled, the time required for one complete vi -bm(vkvef6u,oe;p/ dta9)n j bration

  Both pendulum A and B are 3.0 m long. 7;lf typ5u80sbeziqh6ji0bn*n j s/4The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the 06tunb 85*ilf;jq7n/pe40 ybh sj zsiperiod of B?

  When the length of a simple pendulum is tripleo;*3bj bs, uk6)q3m,sad ga ypd, the time for one complete vibration increases by abqkmg3ap; 6a b u3j,o,s )ds*y factor of

  What happens to a simple pendulum's frequency if both its length anddob8(ayz.5 wo mass are incz8oo (b dway.5reased?

  Simple pendulum A swings back and)jttp- a +e+cv forth at twice the frequency of simple pendulum B. Which stateme)p +vc tjet+-ant is correct?

  If you take a given pendulum to the Moon, where the accele3t e8vl d7oxc1ration of gravity is less than on Earth, the resonant frequency of td37x t81evoclhe pendulum will

  Curve A in Fig. 11-1 represm84 qo9hyzfc i/9fh*j.3 pffb ents

  Curve B in Fig. 11-1 represe2 mhq b2k h,u+(yvcwe(nts

  Curve C in Fig. 11-1 repre ;6sf kcl(lmn(r--ouh sents

  For a forced vibrati::sz y.lw2r5:fdxe e gon, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacemen*+tknq1k: tcx6 0a jkgousn)5t of points of the wave from equilibrium is call0 c6s: xun t)qknk1gt+*a5jko ed the wave's

  The distance between successive crests on a wave is called onz 5-rg,w-xt1n4.fe9v rwrwrpq2i3 the wave's

  The number of crests of a wave passing a point per unit time i8eeef3q l033l /o wqnrs called the wave'sw0frlee8q 3enqo/l 33

  For a wave, the frequenclnh6na4mrd tc(lk6n*k 8 . v0ey times the wavelength is the wave's

  The frequency of a wave increases. t-6 7xje6y f+gouqkh.What happens to the distance between successive crests if the speed remains constat+. h7jq66uo y f-xekgnt?

  A wave moves on a string with wavelength l ao 7o2vh k(vfhj 0,zzf.nd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the shf.v7kzh,oz 20jf ov(econd wave?

  Consider a traveling wave on a string of lengx 8i/)ratuee* o.ylu+th L, mass M, and tension T. A standing wave is set up. Which of the follow u/ruit8 *y)+e.loax eing is true?

  A string of mass m and length L m3nzm4i/ 5qy t kw 3s;iz8fs/ris 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,riwf m/n 8ys3sz;m3qi zt5k/4 with no change in length?

  A string of mass m and length Lm + +qh6vu69vo casa4dpfxi03 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 length is incr 4afoiau pv 96dqxm+ 06c+sh3veased to 2L, with no change in mass?

  A string of mass m and lengthsn7a a0d9w9 vw 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 tension is increa09dn9wvs aw7 ased to 2T?

  In seismology, the S wave is a transvers fh1 /:;yjmjw(k2 tqele wave. As an S wave travels through the Ea je yq:(f;w21t/kljhm rth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travby(x5ix9cer5hb 8 +bvkqo 67tels through the Earth, the relative motion between the P wave and the particles isb57o hre8q xkt6cbi5 +xv( yb9

  The intensity of a w+9sz/ncojc g-ave is

  A wave pulse traveling to the right along a thin cozsotu-8de(ymxph)ln6 0x.5k *r c i+ mrd reaches a discontinuity where the rope becomes thicker and i-+tod5 . x8huzn 6(se*xm y0)cmrlp kheavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal j of-2gk + u7/*/ gjxlc0bp9binwuc+ cpositive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that /b/pfun*wxc0 kgoc7jgcj ul b2+i9+ - they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. T8p koyl/p)itop; 0ej)(src o-y vl+ 9she 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 the point that they occupy the same region of spayp)/slkev oso+r 8 p0-;y ojpi)c( 9tlce at the same time

  Resonance in a system, such as a string fixed at both ends, ontc 2 nt3urtndw.3)1eaty3nb / qnf+*ccurs when

  If one doubles the tension in a violin string, the fundag/(ffmjc 7 -p4gitt6 imental frequency of that string will increase by a factot-j i6i gf/( 4pgftcm7r of

  What is the spring constant of a spring that stretches h. o 7/izcax sl2dne-t5tmgp(z9a1 4s2.00 cm when a mass of 0.600 kg is suspendei d/t1sg po z aa.4(ts75-nl9mhcz2exd from it?

  A mass is attached to8-9jxc,ir 6nmmw+ nlz a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fo6+ nxi j-m8mlwnr9c, zrce 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 kztto6n8 2e,/btv 4zn60 N/m along a horizontal, frictionless surface. The spring is initially stretched by/ kn64enz8t b,2vzo tt 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 spring of spring consdyh5h9tauc1d4)e gf7tant 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. What is the frequ 5g) 94uy1a ctefdhdh7ency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio7fhy wg7d j-4; 3p jqo4x 6fyogdg98vfns in 5.0 s. gyho7xvyw 4p8 j;djo6d-f34g g 7f9fq What is the period?

  A mass vibrates back and forth from the free end of an ideal s;3w(s4hrfjh3 fzhg e .pring 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 its equilibrium posif;h.f (w4e h3sz3 grhjtion?

  A 0.50-kg mass is attached to a spring of sprirf.w* dzedm 0*d-cl -rng constant 20 N/m along a horizontal, frictionless surface. The object oscillf-. cdzd*r*mlr de-w0ates 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. 9.1zqm kp;cnpThe energy is 8.0 J at this time. The mass is .p1k mnzqcp9;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 spring of spring constant 20 Nh+tpv5o+q m7 wb69;ty1* axfdf+h6* ghpgksf/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 *+dht6 tswaf+ mb*vq 6o pp7y+ g;h fk9f51xghamplitude of vibration?

  A 0.50-kg mass is attachedxk+d*uedk-kf /iv0 3ecmq;d- to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motiok0uedq/mx k*kd3-;vd+ef-ic n 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 horizonta1 dt-k7dxe4xzl 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 energy of this system?d7e zkxx td41-

  A 2.0-kg mass is attached to t7w vu+x, )r4q g2nctdkhe end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with qc xtd4v)gn7w+2k,ru an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from thi28ff,v(+6gib+xumqrz li g/s e4r4 re free end of an ideal spring of spring constant 20.0 N/m w8es2 xb +46rv4,gr lizu(mir +fi/g qfith 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 1p zp-u *yjvufz .v ,k23q2eey.-+dail0 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 onlz2-ku.e zf+p,p lyd-e3uvy aijvq *.2y 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The objex (fcvw)u r:46ei x2dkae)9hect is displaceeeu :h6x)dw)a 94(rvei fxc2k d 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 o;n,n ept. m*qyrny o6g1km( is),c8pa spring of spring constant 10 N/m. The object is displa*,ky,i;n1 omptgc e)ys8pmq6( or.nnced 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 5po 12geret2 tconstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the 2ter geo 5pt21frequency of its vibration?

  A mass is attached to a spring. It oscillates at a fn:l2/ j neru5mgd-6ehtkj*8g requency of 1.27 Hz when displacedh5-/g8j trne mkug jn6l*d2 e: a distance 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 vibar8/,n*fqt0m whap -nh*t r+jrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrawja,nh*a f0tp / n tr8+qm-*hrtes 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 equilibrium the mass stretches )um +0o+ylj) v) 9s etr5eb2kbuxr*qethe spring 2.0 cm downward. The mass is then pulled an additional 5bxrteb)qyrl) +eo0e)jusu v +*m9k2 distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspendeu 3a*tx.w,wamu7y ikn 07fv y-3zr hb1d on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is tty7-u7unh0w amv. 1*rfzwi ,k 3xy3abhen pulled an additional distance 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 thtmxz7z iic5h 7a5l)b 0e 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 motion.hxi0m5 tabczi)775 lz

  An object in simple harmonic motion obeys the followingv0/cp*kpv : cgf.. gu2 6.njaj-jd rob position versus time equgk.jbcrpvv:oj- d6n2gjf.0 * u. c/p aation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys tha r-z .k4d-i7cqoqw*ogn-v-k e following position versus time equ-ko c q r*d-.oizwqkva7n4g --ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harjsae2an h:b- 3ebwk79monic motion obeys the following position versus time equation:b j2bs7-9a:3e wkenah
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to th25 klh*hirh b7e free end of a spring executes simple harmonic motion according to the eh h ir*kl5b72hquation $y = 0.50 \; \sin (18\pi \times t)$ 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 dfs 6pcrc0w)*0y7iiiN/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0i cf)ws p7i0d6r *0cyi 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 -j cj5zeotm8 ;in 8.0 s. (a) What are its frequency and periodjmjt8 c-ze5 o; on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periodj55inq9 o7 9*dqllitw on Earth?

  A pendulum has a periodfr 9;-jmy8rvs of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t rd k.pgmr3;3jhe Earth?m3rkr ;.g d3jp

  The pendulum of a grandfather clock is 1.0 m long. What is itel6 8 6xqv)i,h4m/p(x74qkbvz auz h k8vgzi4s period on the Moon where tg4 xq(8 vih4akz 8huzipxmq/76lb ez)4v6,vkhe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attac(wrhu h2n9c4v hed 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 spherev2 (hch4un9wr ) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass hanvfsr rr93 ,v,s initial angular displacement of 8.0e. It oscillates with a period ofn,rrfr , 3vsv9 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 fre;e s(lao*vy3 dixs - u3x/7sdpquency of the wave is 120 Hz. Wvsd x*3/pde-i(xs7lsu oya ; 3hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a giv sz9(fli+ :*gh kkp t42wkcrn+i us)5zen time. The frequency of the wave is 120 Hz. Whaz( skr45z tk )*:f+ puks +n29cighwilt is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa dxc(kp0//2)xmb +unf tfnfxk8v*jp .ve is 120 H2xt//+fu(d.v cnfx0k )8pkj xfm* bpn z. What is the wave speed?

  What is the frequency of a wave whicnp e/+1a+d5rxvjo -m nyr4q2wh has a period of 6.00 ms?

  What is the period of a wave witmi/7k )pd evnczdo.b:z( l1v /h a frequency of 1500 Hz?

  What is the wave speed if a wave has a freque4l,de j o(6/phj8g oqwncy of 12 Hz and a wavelength of 3.0 m?e j oh4 /o6jwqlg(,pd8

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequen kd 4r 4x;vt tts:,ew13jli(8jpz 1zsocy ofk x:(zr1 3tjezvj;tp48to,si4 sl1wd 12 Hz?

  What is the frequency of a 2.5 m wave tr.mu(ki+ t.dbvs.0df e ozt8r7 6eyfrxb+3t a:aveling at 1400 m/s?

  A piano string of linear mass densit- ygs86 x1,hyviu j0hwy 0.0050 kg/m is under a tension of 1350 N. What ihsyy16,0 guihvj-8xws the wave speed?

  A string of linear density 6.0 g/m -gttc6)c)oz -a1s mqd is under a tension of 180 N. What is the velocity of propagation of transverse waves alonq6amdsc)1z oc)-tt-gg the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m loz8trnq .,7he mng wire whose total mass net hq,zrm.87 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 (s c. /hdbgcg7f ye*i1transverse wave on a 2.0-m long string fixed at both endebfscgy/hd1i (g.*c7 s is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency vmrm 7n,:c2v8g0ci d 6:lhdt eof 500 Hz, which one of the following frequencies can set the string into remv0c28rne67v::h c,gdmi dlt sonant vibration?

  A stretched string is observed to have four equal segments in a standdl *t *hy271upn)3mpeodu2dm ing wave driven at a frequencd *1nmd3p )uyho 2udm7pelt*2 y of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a freqfnzh9 y 2pbe*h2x5h0b uency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing waf2zh nh*95 e2byhpxb 0ve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should ivybh1+ sh :ru+hl7 /mpts ler b h1/+uhm sy7lp+hv:ngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmon2x.2 b xrs.k(xdxzlq :ics of a string of linear mass density 2.00 g/m and length 0.600 m when it is 2:z kld.qxx2 (b.xxr ssubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the str7jdq(tiqw 6y8pt97a qing vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.it(qw 8a7pty jq9q 6d7
(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.