The time for one cyc xs(fl/zj*v2f29isei6 7elv t4wy/ jp le of a periodic process is called the

  For a periodic process, the number of cycles per unit time is c3*+xkqr) v+ 1rzeqmc ld:ijdqf7*s t;alled the

  For vibrational motion, the maximum displacement from the equil+q3xsgqt ,by 9ibrium point is calqqgb3xs, y9 +tled the

  A mass on a spring undergoes SHM. Wheeoz;9arjh t fd1(3h p;n the mass is at its maximum displacement from equilibrium, its ir(ap3t f1h;ze9hod j;nstantaneous velocity

  A mass on a spring undergoes SHpk -m9s+7t yrvM. When the mass passes through the equilibrium position, its instantaneous velocity -+7stp9 rvykm

  A mass on a spring undergohtfdjx c7 rs7h5 .ivq6,n:zxw;kh :b-es SHM. When the mass is at maximum displacement from equilibrium, its instantaneous ac :j .i -b7kzrvhxnhh5 q;:6t7wcxsd,fceleration

  A mass is attached to a vertical spring and bobs s,uqt /na .wx/tftx 9yt:4e.hup and down between points A and B. Where is the mass locutnf /: s4x txyhtwae/ .,t.q9ated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bethd k 3,vspm5by-2dg+ eween points A and B. Where isepgsd m2k b y35+d,vh- the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertic q+5b-klkjn;k/vfj7q al spring and bobs up and down between points A and B. Where is the mass located when its potential energy +/jf7nv-b ql; kqjk5kis a minimum?

  A mass is attached to al9 68n aancdafg3/3hz vertical spring and bobs up and down between points A and B. Whezaan n/ag6933d cfhl 8re is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratypxal;i d; )jlf9d:c4x9a*xhing mass-and-spring system produces what effect on the syid4)l; xxa hcad:9jfyp 9* xl;stem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system petula+;(;o gbd ;kv 8broduces what effect on the systv;a oelb(;guk;8+dbt em's mechanical energy?

  Doubling only the spring const 5 :awc +2oaagzteuw5w5)9u ltant of a vibrating mass-and-spring system produces what effect on the syswt gwae+55 wtuz:9laa o25c )utem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mohg v.vib3x7 3xon. Where is the period iv37xvg 3h.bxthe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what)mfnje+ xf: pc*eit cp.1sr2: kind of change in the resonant frequency of sr2.tpj1 cfeen:*)pi m +c:fx the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes6laz*;-e f b ,tl cod1gq,+ney what kind of change in the resonant frequency f b;oz*ldyq6cg-ne ,a1tle+,of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cqyq9tk bo0 s.48ko3 rvhange in the resonant frequency of the system? (o4809 vos qr.3kbqktyAssume 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 weightlesbh(k- mwnb)pezz2* y8 s string of length L. For this system, when undergoing small oscib ) kz*2phn(8meyzw-bllations

  When the mass of a simple pendulum is tripled, the time requirm g 4lc6a ya)4vq-osp7ed for one complete vibpcs4laa6) gq -myov 47ration

  Both pendulum A and B4pv ) j 8spp tq9q6p/4 wjt+yke3ney8u are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period +t nk4p 4 8ue86p3qw)je/yspq9vjptyof B?

  When the length of a simple pendulum is tripled, the time for o76m3df (jcgwv ,)f dssne complete vibration increases by a factor o)ds f,gvfcmdj6sw 73 (f

  What happens to a simple pendulum'u1td/j3 6dhr:gb.er vs frequency if both its length and mass are incugrdbde6 r:1vh 3./tj reased?

  Simple pendulum A sw/tsqjis2s. .dyeqn *1gep/5pings back and forth at twice the frequency of simple pendulum B. Which statement is correc1 2.jdgq5p*ne./si y tp se/qst?

  If you take a given pendulum to the Moon, where 2zamh:nzke) -ec,/pa the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wilk a 2n:a/mc e),h-zezpl

  Curve A in Fig. 11-1pm40 y+ hqi-qs represents

  Curve B in Fig. 11-1 represe.z-n* +p2cyket9za gcpm/8ep c x)kg1. ;lkvunts

  Curve C in Fig. 11-1 r ecavrx:zi;.0o6z d3u,qu dj;epresents

  For a forced vibration, the amplitude of vibration is found *-a+ gsmo (wzito depend on the

  In a wave, the maximum displacement of points of the wave from equil8 6 yecow4xt.x, o*waiibrium is called the wave'xy6,*twwiea 8c4oxo. s

  The distance between successive crests otza-*d y0jxc 0n a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called thec2vi/ 2 x:efpk wave'sfip22xe:v /ck

  For a wave, the frequenc+tid7 2euv uj90 kn7emy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succes0 xt7 (kvgnr-msive crests if the speed remains constnk(- 0mvgtrx 7ant?

  A wave moves on a string with wavl6a4,wmtik:7wgw 9 j6 :xvnetu:(hml elength l and frequency f. A second wave on the same string has wxu7e9g:,(tj6w imw:ta:v 4ml6n hkl wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. rhk 904nurqe*A standing wave is set up. Which of the followingk 0q* rru9nhe4 is true?

  A string of mass m and length L is under tension T. vonvs2ba/2 6 j sz4q5d The speed of a wave in the string is v. What will be the speed of a wave in the string if t z4 b/vs d5n62s2avjqohe mass of the string is increased to 2m, with no change in length?

  A string of mass m and r1 8kom2mwrn+ length L is under tension T. The speed of a wave in the string is v. What will be the speed 1 mok w2+rmrn8of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and57k+cle 0/nfu+gt wha length 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 s0fe h+5twla gk+7ucn/tring if the tension is increased to 2T?

  In seismology, the S wave is bjo,+dq*ee 4 s 35 j/jgjkl sdhd7wl:fj8 7ia0a transverse wave. As an S wave travels through the Earth, the relative motion between the d i hwe,ja7o5g4 +0*sd7 3 djjeljb/qsf8klj:S wave and the particles is

  In seismology, the P wave is a :4c z0a*n)d uc6at:t4c mrecalongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave ana d :cur)0c:catem a4tz6*4n cd the particles is

  The intensity of a wavec/xhj i77lj )nmfc0t+ is

  A wave pulse traveling to the right along a thin cord reaches a de bi.;7b 02vndxh9lkmf8m g w,iscontinuity where the rope becomes thicker and heavier. What is the orientation of0wevfhib; x 8b2 lmm9d,gn 7k. the reflected and transmitted pulses?

  Two wave pulses withw ki(c-y rhk4- equal 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 c- -rhk4wi(ky occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The o q7zs3 pzq.f4p,/:fqh/ fxfupne traveling toward the right has a positive amplitude, while the one traveling toward the left has h3.px,psf uq /7 ff fp/zq4:qzan equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends,x6kuaaj0 (r ( kov-zl3 occurs when

  If one doubles the tension in a violin string, the fundamental frequencyh 2pd r,8knmd 8,l y4r.kzvxe8 of that string will increa,v2 krn 8 he.rlympd84d,8xkzse by a factor of

  What is the spring cot)z nen9 bb.q8iy cf96nstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is syneb9q6zb )cf tn.i89uspended from it?

  A mass is attached to a spring of spring constant 60 N/m+ z 2c .h)mvfaff1b9o63ex8cdqu8fj u 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 positionc 36.z+j29odq f bvf1mau) 8c xfheu8f when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, frkbxdo+4 ud: 2gictionless 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 period of oscillatiou4 2dboxk +g:dn?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, x(fx+hh-u qwy u c *w5j/)g,e.pi,pqzfrictionless 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 frequency of o,,xgjhwe ph 5cq xw iy( .fqup+*/)zu-scillation?

  A mass on a spring undergoes SHM. It goes through 10 c (au+u x5 pt4ek1ma*ez01jmwuomplete oscillations in 5.0 s. What is*1uu( pej5+a0u wmmta1z e x4k the period?

  A mass vibrates back and forth from the free end of an ideal springjzcycn ogt/-1p6 ly16 p 6xux+z)tu:e of spring constant 20 N/m with an am661 upuozt:yztpxx )-cl+n je y1cg/6plitude of 0.30 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 27u +rbjf9tsya8 c0v*j 0 N/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 total energy oj+*y8s 9 u c7jvfbra0tf the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 84* ndb a7hmqmjc-8. y/sho)fv.0 J at this time. The mass is cut in half, and the system is again set in motion with ampli.o* m/amqs cfh4 8-7)jhdybvntude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of sprid10r2jdnb(uvt/ w+ac ng constant 20 N/m along a horizontal, frictionlesr+ tnd2uc(jw da v/1b0s 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 sprm xek;i0iwq 2vo7x//z4 ;on/b7ti h aning constant 20 N/m along a horizontal, frictionless ai 7/o ixz/m h2btev0n4qo/x 7; n;iwksurface. 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 end of a horizont h:we297x7smbgx v2ll 9i:f boal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 lofbm v7lh9 bxsi:w9x g:22e7 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a h9+p9yb t v+ukg v)t3yi;autr )orizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total m ty9) )p+ky;a9bv v3rg uuti+techanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring ofs s:+pyrku: x8 spring constant 20.0 N/m with an amplitude of 0.250x+8ry:: p skus 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 equilibri0zwn8 rn..rh aum position and released. A frequencyaw..r n 0nzh8r 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 object j55 o0ss y4agjis dispo s405asjy5jg 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 spri7gyp , n vm29;vqta3knng of spring constant 10 N/m. The object is displaceq3, tv2;ykpm7a9 nng vd 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, displace:ozkg ( hp6xf8d slightly from its equilibrium position, and relekzx6o :fh8(p gased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillaty75kq:dr kw;ves at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium andk:q rdyk v75;w released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to di+*dq h llqh/.e klk*xw,0mb i6fferent springs. Mass 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 ekdlwm+q6/0l *hh *l b,.xqikthe maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is susp 2au,alb7k. i(scgq wexx67l:ended on a spring. In equilibrium the mass stretches the sp2.ua la6wkg7eqsb(: ,x7x cilring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended pgw5ta 0*:zxi/qe4jvwf+/q ron a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mav+/jrqz54qwpgawx/ *f: t0i ess is then 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 the mass stretch z. a k+fnm.j/ldj*y/ues the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 fdu+jm*/ lna .zy./jkcm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versu2-uxnnjfv0 llkd 2u,9 s time equatilv9n, u 2jxdn 2fk0ul-on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple h(d ox k*0ktkx7armonic motion obeys the following position versus time equatdk okx(tk70x*ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmg:f, lli tp/ 0unkly 9zcy)+(xonic motion obeys the following position versus time equati9)0y +ulk/lyncplg,:( ztfix on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exb u2gxg71 g8ijecutes simple harmonic motion according to the equatij7 8gub21gxig on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to .s-o)mjph 7l :wgypm.spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t)psy:7oj pw. .lmg- mh= 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 complete kun8v vb9z8i( .qqb4dswings in 8.0 s. (a) What are its frequency and periodkvzundb(q4i b89q 8.v on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its(*mcprd-4t uhf7+s va period on Earth?

  A pendulum has a period of 2.0 s on x 2q-rb9si-hsf :xd /vEarth. What is its length?

  The pendulum of a grandfather clo inge h-x17lzav*7a k l6g*+npck is 1.0 m long. What is its period on the Ea-* igvp+1lg*hk7nlxz n 6aa 7erth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tp oo bi1:ti p xz) 96sl-*v/5o pg8m/ocku9ktehe Moo 51ztp6 -kx9 /b: puo*o ) tivomkg8iec9sl/opn where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spheric67j b 81 :0uev-qyf nqbjhy1rmal 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 resulted if rv18hb71qme6 0j yyqjnfb: u-a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass hs-gg n ht3*4dias initial angular displacement of 8.0e. It oscillates with a period of 3g4 3t-*shdin g.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 6 n77j8 qdibz u (q2fmku*a.l/l7pzhma given time. The frequency of the wave i78jl7p*uzabm qd u/zi2 fh67lnq( k.ms 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th 6w+wwf u,/hjpb2 r-te qxv1p:e frequency of the wave is 1ww t p+v,r-1/jb2 fpq6 wxeuh:20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given lk.wz3fv :hj nu+623 hecwgo- time. The frequency of the wave is 120 Hz. What is the wave+k6-3whgwl2cu3vnf :oh ezj. speed?

  What is the frequency of a wave which has a period of v5l44cy*v1e bro d jwpj;w:t86.00 ms?

  What is the period of a wave with a frequency omj *y5.i lc a9v h,nqfs(h; .4cnc*sqaf 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength a+ m5t/frgu;w of 3.a m/g;wu5f r+t0 m?

  What is the velocity of a wde,iv+y8 lmj 5ave that has a wavelength of 3.0 m and a frequency of 12 Hz8d+lj,e 5imvy ?

  What is the frequenc*+fga k -os/mf ..jer:nsv+ key of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is u yuy/ix7bw iq4c*e rmug*o229nder a tension of 1350 N. Wwy*mr2xb/g* c4 iuioq9u 7y2ehat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of f-ozf 20g r3 ;rsvci*m180 N. What is the velocity of propagation of tz i;fogsc-r*m3v2r f0 ransverse waves along the string?

A wave whose wavelength is 0.500 m is tr.fbwj;)dx) g/uur t4)ia fh6b aveling down a 500 m long wire whose total mass bd jg 6u;wr)4)/ut . ibah)ffxis
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 wave on a 2.0-m long striq(lqo ks t+80jng fixed at both ends is 200 m/s. Which one of the followio+s 0qj( qtkl8ng is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one u(+al g v.k2yk:e5qtiof the following frequencies can set the string into resonant vibr5ev+ik:yql gau( .k2tation?

  A stretched string is observed to have four equal se2 8me4beyh mz7gments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fivem 8hee 27mzb4y equal segments?

  A string, fixed at both ends9;t1c0 adyw-(w k4qubbk t vx3, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if thec (avwk 3yb1uktbq0; 9 t4-wdx standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is unpw vfr/q7/+/o /rg/-uu y cvysder a tension of 20 N. What should its length be if its fundamental resonance frequency i r/w //f-/os7qcvugv/yp+ uyrs 220 Hz?

  Find the first three harmonmbw 0 l*)-arqrics of a string of linear mass density 2.00 g/m and length 0.600 ma-*m)b0rql wr when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stringhf)m7ih)d cne vf1 (mfkd0-h 1 vibrates at a frequency of 8f11)vmmd h-c h fn 07d(k)hefi5 Hz, 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.