The time for one cycle of a periodic prop 8e /ier0tltsh4n2j2 cess is called the

  For a periodic process, the number of cycles per un sjjbdg*4ou/+it time is called the

  For vibrational motion, thp +;a*zl39 to.e01c reqy jcgxe maximum displacement from the equilibrium point is called t3;a 0e cq1eg oy+tl rc*z9jpx.he

  A mass on a spring undergoes SHM. Whevq *.mgt9vx (nn the mass is at its maximum displacement from equilibri m (g*vt9vxn.qum, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrit*nbsn*i+ /kl um position, its instantaneous v */li tknb+sn*elocity

  A mass on a spring undergoes SHM. When tp)wl e;33b gd t7dkb)fhe mass is at maximum displacement from equilibriumd wbleg)b )td3f;p37 k, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dowb8su5 z67tmu 6tg az1fn between points A and B. Where is the mass located when its kinetic en7b616tzzut a8 usgf5 mergy is a minimum?

  A mass is attached to5fhw(ijq-bd 6ng (7ah a vertical spring and bobs up and down between points A and B. Where is the mass located when its 5b7(fha-q6 jdw(nhi gkinetic energy is a maximum?

  A mass is attached to a vertical spring ahre3 - uulh7qyu) n/a*nd bobs up and down between points A and B. Where is the mass locatedq3a l/eh hru-u)u* 7ny when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweea :+y sok3v 89 py9bhmmlv-l5xn points A and B. Where is the mass located when its potential energy is a maximumlv :s+b8xmyka ohp- l9m9v5y 3?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what5g x-mg-9qn ba. vdw7yqg(,qc effect on theq qvn5qyg ad(c,g-m-w79bg . x system's mechanical energy?

  Doubling only the massv1s: x 2sb* fgklm2c1+ vgoi8t of a vibrating mass-and-spring system produces what effect on the system 2kmg l1fs8gbvc2t*:sv+1 xoi's mechanical energy?

  Doubling only the spring constant o4zmj71i+q)/iz6 *f/ai n8p wrhwwzfvf a vibrating mass-and-spring system produces what effect on the szm4 7pz/wwvf8 friaz +6jqn)1* iw ih/ystem's mechanical energy?

  A mass oscillates on the end zj1i.wf us0z* -./o djb hncn:of a spring, both on Earth and on the Moon. Where is the periodo*icw n j.s-:b0dj1ufn/z.zh the greatest?

  Increasing the spring constant k of a mass-and-spring system q*h 2vm 1 :b fmr .el)w*n8tbej5es*hecauses what kind of change in the resona8*e e.5 )1fhqj:mmlevt*h*2ebrbnws nt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a m5kyupb e8 .bp.ass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sprin8.k ubypbe.p5g constant k.)

  Increasing the amplitude of a mass-and-spring systemg b ),fmggb(ifvf21 y b5*asr9 causes what kind of change in the resonant frequ,rsyb2(gba5bf) *mg f v1ig9fency 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 string of lengvf:u5smxqz3g:0w 7v5v :n. bam,cwm wth L. For this system, when undergoing small oscillati g5mv 5nq:wfvm s:.bm3:x0avzwuc w,7ons

  When the mass of a simple pendulum is tripled, the time required for one complet/tiyxvpro8 * wyc8 -k/e vvi8wpx/k* y r-y8 cto/ibration

  Both pendulum A and B ar2bxzzg( 8lz g4e 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum zgbzgz(l2 8x4B. What is the period of B?

  When the length of a simpkp qbt43d9y- gle pendulum is tripled, the time for one complete vibrationykd 34gtp-qb9 increases by a factor of

  What happens to a simple pendulum's freqd)l1g*ht9r)ru j ep*3enzp(tuency if both its length and mass are increejn *1)p)p r3l9t tzd(heug *rased?

  Simple pendulum A swings back and forth at twice the frequency of simp()1+xiolhwcc le pendulum B. Whichow) h1c(xi+cl statement is correct?

  If you take a given pendulum,b c/x ie2cw/ ;80ytiw;istew to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pend;e/tbii c;s0 tww y82i cwe/x,ulum will

  Curve A in Fig. 11-1 represen7 i3c wc*9ybsu r16twkts

  Curve B in Fig. 11-1 representorn1mi6 rj4f-a7z7 hx s

  Curve C in Fig. 11-1 duci6ce tkhjsoh)21,* r xp*6represents

  For a forced vibration, the amplitude of vibration is found to depend on thev owdn5l3) bx 3i82 byytaq4r9

  In a wave, the maximum displacement of points of the wave from equilibrium is c5erud2a me*-n1+e cox alled auede 1r5mcn -x 2o*e+the wave's

  The distance between successive crests on a wave is called the uynohx,y.bj,6 v -x1y ;9oijewave's

  The number of crests of a wave passing a point per un,jm: 8csi(p bs3vam +0tbsau*it time is called the wave',tb0mus: spa3*c8 jsvi +(abms

  For a wave, the frequency times thya5 )+dna aziv: ft3;uzbepd.d*,r ;2, beaufe wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between successuy wcs k0*1ja;/4n9 dr b*7jv1lit hfsive crestu cbs94/ s jt yha*w17dvk rnf10*lji;s if the speed remains constant?

  A wave moves on a string with wave b)h9i(thlzzl :*gcz6s /i zm;length l and frequency f. A second wave on the same strin(sl9z6;h/mhb)z * zgzi: l itcg has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string 2t6b1q/t )znxk oai) zof length L, mass M, and tension T. A standing wave isz kxq/1 ibz26)a)n tto set up. Which of the following is true?

  A string of mass m ana i d*mtz:dh0.d length L is under tension T. The speed of a wave in the string is v. What will be.0dmtzd*: ha i the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wxn 11zg3nbx s5ave in the string is v. What will be the speed of a3s gx b1n15zxn wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave s; u l5f2o( fhslzhju/p+v 0s)in the string if hj 0hzl5+p f/ou)svl2;(ss us v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a tr)5e3o,at -ki qec 9svewf-ha,ansverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the pat-,ae) eof39q -asw,i5e h vkcrticles is

  In seismology, the P wave is a longitudinal wave. As a P wavexr38i lsyux 1,5 df;8t 6v 81fxwyvhed travels through the Earth, the i18 dysw68xu 85l ;fvhd1tr, efxyx v3relative motion between the P wave and the particles is

  The intensity of a wavbhg t7wbkn8 (+e is

  A wave pulse traveling a/ g cv.mn ,72lrlxm*w4)rmi-zk6n yr-ohu o.to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of lmv zoi*cnu.lr4kn-hgr ma oy-) /wm7,6xr .2the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eacr*sbzs c gnwp9v5+u o*l+,9wk6uj i(p h other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spacn6*b vulp*w5zu,s c+o 9wrkj9g( psi+e at the same time

  Two wave pulses pass each other on a str,/qrdu61nm3 *-g hbrj cn)t yping. 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 the point that theyqn/ p6t)*njc,3 1b dum-g ryhr occupy the same region of space at the same time

  Resonance in a system, such as a string fiv zv;r4p3y1o ixed at both ends, occurs when

  If one doubles the tension in a vo38z arfgj61mecxhadn-1 89g iolin string, the fundamental frequency of that 1 ahjm8 o gr-xf136 8gczadne9string will increase by a factor of

  What is the spring constant p 9gxpo7ip2 q3ogfd5w5q0kv* of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fri 95qo0vf* og7xqpp2pg w5d3kom it?

  A mass is attached to a spring of spring constant 6m gu/.bisx 7+p)l1u on0 N/m along a horizontal, frictionless surface. The spring is initially stretched by a foo 1ml7x .si/gubu n)+prce 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 srml+tym7g :/ cz-nm;au +0 qxppring 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. 7t+-mqza:c; /nm+0u xlg ymrp What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizlfg*2xzd 6 a5ss/d hmi9kknrd f( p9,4ontal, 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 the6hi*pls/dkxfng9 k ,(5d2m afzdr4s9 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 c) wnehcef3:5dgwt8;momplete oscillations in 5.0 s. What8 t;hndgw fce3 em5w:) is the period?

  A mass vibrates back and forth from the free e ;0- uz1add9vo+ailyvzxqb/y i;lr0( nd 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 its0 0o iy;1/d+al-aydz(uvbl xi q r9v;z equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongxczc2, g mg0(d a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/0z gm,xgc(2dc s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplik9c;bh psxy i2y:k.+ce:ydx 1tude of 4 cm. The energy is 8.0 J at this time. The mass is cut .kyp hye x1+:sxc ybkc;id:29in 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 N/m a fsbr4z))uqo .0ph5o plong 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 amplitb0o5z) pqsfpu 4 ro.)hude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along it,ni*u vk/m 7a horizontal, frictionless surface. k7 ,nm/*vtiiu 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 same?

  A 2.0-kg mass is attached to the ezbeh gp21yz +dfoa 3g7,r*+ vmek,i)ind of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 ivkg)e3*2e +1fzmag7i,rh ydz p o,b+m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spritdd-0bq 8rhw-1gknmsd 9 u0j4qx3t y4ng of spring constant 50 N/m and set intodm0 3-sj9kndru1wtg-4b y8xqthqd 40 simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal drm a8uppd6 lutm946 6spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum66 dapu96mlrmd 8upt4 kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibriu9fgmwc5f9xzlk;/ 9mkqu vs. 0m position and rczk; 0/g lksq 9 mfxu59fw9.vmeleased. A frequency of 4.0 Hz is observed. What frequency 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 obje5o+zef c2b2jd ct is displa2eofb5 2+ jzdcced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachee. l-z bw:3 -u1p3liesxjp 6xgd to a spring of spring constant 10 N/m. The object is s:gpi ee3z--6 3 lxxuj .w1bpldisplaced 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, dist5vo1k+9e0p- umwxabplaced slightly from its equilibrium position, and released. What is the frequenc9uok bm e+1tp- 05avwxy of its vibration?

  A mass is attached to a spring. It osci9j0nhyjl3tu- ;bl3 z87v b rjhl4 jc.hllates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by n3l7 .lv9tj-z0lc h ;4yjh3bhr8ubjj the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrat2u q9kvxrt *,:mme6qves with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequ vrqx92*t6 mv meq:,ukency 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 equil64oy t1r+* x9bb pmvbys2uov 1-yooa 6ibrium the mass stretches the spring 2.0 cm downward. The mass is then pulleub6bo-*6 9brp vyv 1atxs1o2myo + oy4d an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspend ,ust3s*d0dg /sl)ocqed on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then plg)qtucsdsd 0o 3/*s, ulled 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 the mass stretchebg1s 8*vw.na ds the spring 2.0 cm downward. The mass is then pulled an additio g1wva* b.sdn8nal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versusv1)nvsna+2oq time equation:sa 1+qovn2nv)
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fj,ar (n:d.v qadhvz;.52snbf ollowing position versus time equation5 dazhb(f.s:v .j q2 ad,;nrvn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ) eaup+z-rz0kbbld1f5,c si : obeys the following position versus time equ ,rek) zz 05bsbdi:c-+u1apl fation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoni8o7fng.tyz 3 4(h qx lqkkgjt /l8/iw/c motion according to jktl nx7twhqq //k8 i4gy3fg 8/oz.l( 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 spru())j ;z2vp2nwhaggwbsi5 /cing 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 10.00 cm. w ncg5/p)h ugzbi 2;a)(wj2sv)
(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 its frequency and peq.jb hz fw1p0*p5go5sc*9 xbogta - 4prio1zbso-bph0j4fg*p9x qw c. o55gt a*pd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What isj czf*e *y/l6m its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its7c2exd-r)b d j length?

  The pendulum of a grandfather clk( 3r(sc7olh sock is 1.0 m long. What is its period on the Ear ksrlh3 cs7(o(th?

  The pendulum of a grandfather clock is 1.0 m long. m2j av;6)5e7lfxf4 a uucu dz2 What is its period on the Moon where the acceleration due tu) 6v 47mxcfu zad2f;ul2ae5j o gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to 9gt p 2ymz0.bma massless st2gtby.90p zm mring. 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 sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has: yqf+ *0u7rf y(au 6zwmgmtt( initial angular displacement of 8.0e. r+ *0my(7f mgf ( uaqzutt6wy: It oscillates with a period 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 waved1-j8g s)ihyi jn.9bu at a given time. The frequency of the wave is 120y s.8 )bgui1jnh -idj9 Hz. What is the amplitude?

  Figure 11-2 is a "snapsho- d.s*n*bw bhdcj(g4ut" of a wave at a given time. The frequency of the wave is 120 Hz. What ig j.d-s( bh bwuc4nd**s the wavelength?

  Figure 11-2 is a "sn;yvx* 2dlr dols( bl*3apshot" of a wave at a given time. The frequency of the wave isdll*vlb3*2xd(yosr ; 120 Hz. What is the wave speed?

  What is the frequency of a wave wh-b07hi ojx:ml ich has a period of 6.00 ms?

  What is the period of a wave with a frequency of k ulk+eg zm.:-d-gdp:1500 Hz?

  What is the wave speed if a wave has a frequency of 12 H1tqpxhc /v132djj wb3z and a wavelength of 3./ d t3pv1xj3wb2hjqc1 0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and7 y xfson-kxy uvw1;1/ a frequency of 7 nkvyxf w 1oy;xu/1-s12 Hz?

  What is the frequency of a 2.5 m wave trave9 qn 9a1lsld:u. 5awid0 dmlo.ling at 1400 m/s?

  A piano string of linear mass de;we uus;iag 7+nsity 0.0050 kg/m is under a tension of 1350 N. W+i wua;useg7;hat is the wave speed?

  A string of linear density 6.0 g/m is under a tensi-p f+y c,yo)ynon of 180 N. What is the velocity of,nf )yp+yyo-c propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lg(rb;f ze (ue9a;br 5vong wire whose total masz(b e5fabe ; u;9v(grrs 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 t-txet6*j zva5:x1p ga transverse wave on a 2.0-m long string fixed at ba1:vttxgex- *tzpj 56oth ends 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 of 500 Hz, which one khv-a6 kwd.;h of the following fr vak6hw.-h;d kequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stand((d n:o+ ,,svhzeodpiing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equh(o (soed,iv,dn p z+:al segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz 3xm fz :;hb9cnwith a standing transverse wave pattern containingb;hnczmx :9 f3 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Whatq eb1uend.k ,4 should its length be if its fundamental resonance frequency is 220 H1e bqe.nuk4 ,dz?

  Find the first three harmonics of a string of linear mass1lmvy sfkr/+*gkebm / 44l*lh density 2.00 g/m and length rmgyvhs*4f+lkll /4eb*k m 1/0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stringo(t368f fko6rqzk ,4:g/ gwzesves6y vibrates at a frequency of 85 Hzg63 /6fk(ws6:ye zq vo kt,ero8zsg f4, a standing 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.