The time for one cycle of a periodic process is called th :faaid /xc1tp8k/;xm,iar2ux h hi23e

  For a periodic procesuztyvu j.+)/jf-f zz4 d1huv4s, the number of cycles per unit time is called the

  For vibrational motion, the maximum disp xmo+5zi;zu(njzg cv2:a1j +jvdtl ,2lacement from the equilibrium point is callejot z2 viacm2n1zx5:lzd;+ +jg(v j, ud the

  A mass on a spring undergoes SHM. When the mass is at it9y 92r;nq m4ju flo4pms maximum displacement from equilibrium, its instantaneousj9nyour 42m4qfp;m 9l velocity

  A mass on a spring undergoes SHM. When the mass passess heg4cl61r1)amlg 1rhajs(2 through the equilibrium position, it h r2 jcga)ma14shls(116gr les instantaneous velocity

  A mass on a spring undergoes SHM. When the mastm/ +)3oryk5dxk ,jjup / u+rqs is at maximum displacement from equilibrium,my kpq 5 rr/d tj+ujx,u+/ok)3 its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dat1n+ph/ pz*xrqv2o00nh zq +own between points A and B. Wzh2o0ph0 nz1ptr *qq/n+x+vahere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a tcc;rls7 io/ (vertical spring and bobs up and down between points A and B. Where is the mass located wisrc ;(t7c/ol hen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dxs- w ;as- 0scjdhz94tz8uoh6own between points A and B. Where is the mass located when its potential energy is a mini;a hdowt-4szsuz0-6cx 8 h9sj mum?

  A mass is attached to a ver4av a7z*/vjm.(auba i x*bks7 tical spring and bobs up and down between points A and B. Where is the mass located when its i(j74sx *aa7v*bu a.kbv/am zpotential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what jju7*0 8jo1sqpiu -td effect onj1 ju*t qsu7o8pjdi0 - the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces7ig7sv4+b x fe what effect on the system's m v7sgbix4+ef7echanical energy?

  Doubling only the spring constant of a vibrating masyii7;,) v wdaps-and-spring system produces what effect yip7, ;ivad )won the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth an, w3/g)nfnz:x q j:qwrd on the Moon. Where :/n)w nz:rqj3q,x fwgis the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kinaa a8 mp4ez(, au(i+lhd of change in the resonant frequencylm+a h8,pu( aze(aia4 of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caus h 4i.j0stn9kves what kind of change in the resonant frequency of t9h vs.ki4j 0tnhe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring++15lcypzjfn wwo+v wff.v-4 c*/b re system causes what kind of change in the resonant frequenfn wfy epjo+1+wz+v lf/b-4wccr .v5 *cy 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 ofdu*vn r;gjlbm c6*mu 3 dy)5p3za,* bg length L. For this system, when undergoing small osc3m;zpb5c , jyd) v3*lb m*ua6 ggndu*rillations

  When the mass of a simple pendulum is tripled,wbhe, s-pzw1 l69u/ io the time required for one complete vibrw61 i,l/ p ze9bwsh-ouation

  Both pendulum A and B are 3.0 m long. gwkmi 2,y7 u:y:jay-snzb (224kxs+nzu ap4 bThe period of A is T. Pendulum A is twice as xigan2u z mz by+by-ps 4su7 k4,n:yj22ka(w:heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum7na; c/f;+9 ( cc 6sj8 stbwbspuryx-z is tripled, the time for one complete vibration increasuc;pf+ c (8c 6rsbzatn/- jyws bs;x79es by a factor of

  What happens to a simple pendulum's frequency if both its length and0i ij eu 0dripip84a/) mass are increas)8r0uii aj0iie/p4 pded?

  Simple pendulum A swings back and forth at twice the frequency of spne, rk8)tb g30wzn3 pimple pendulum B. Which statement is corezwgk b8p)t3 0,nprn3rect?

  If you take a given pendulum to the Moon, where the acceleration:m. frns joev i-xb;n:/km m.4 of gravity is less than on Earth, the resom enb-:nxo/kr4.mf:; j. mi vsnant frequency of the pendulum will

  Curve A in Fig. 11-1 repres/0: wnnc-ece xents

  Curve B in Fig. 11-1, w qyj8.1q6xjyxd s 8k)rb1vj represents

  Curve C in Fig. 11-1 re yh8wlga/h;wxz++8ta* w 7y +fqicp6a o7xyn*presents

  For a forced vibration, the amplitude of vibration is found to depen*y9xxa0cc zf :d on the

  In a wave, the maximum displbv0+tao+ x v d.)cqf1x1w so-wacement of points of the wave from equilibrium is called 01+cfdx boa+ . q)wvw-xosv 1tthe wave's

  The distance between successive crests on a wave is ca8a3b p1 aws(uv vysdpu +15n5:vzjm2j lled the wave's

  The number of crests of a wa fb+g k6 i4txwls7-jd(ve passing a point per unit time is called the wave'(x7 -w6tl+fbkji g4ds s

  For a wave, the frequency time jk(t9lh)7k ubx5m, (eapd :h :nwhuy(s the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwej*c;q6fb d5vuen successive crests if the speed remaicf*v;q5ub d 6jns constant?

  A wave moves on a string with wavelength l and frequency f. A second wavegk9/ 4u8jhm wgc,8wv c on the same string has wavelength 2l and travels with 8wh/,cwju k c mg9vg48the 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. A h: 5ns/jx2 az9s8 wk omvc)2otstanding wave is set up. Which of thea/ )o2 msw hsztj:xn5koc9 82v following is true?

  A string of mass m and length L is under tension T. The speok0z tis p x:x-:r:,;dbf8mcted 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 pk 0m 8: d,:r:cxxfbs-t; tozi2m, with no change in length?

  A string of mass m and esk6 hg.)a*vm a pfy3/length L is under tension T. The speed of a wave in the string is v. What will be the speed ok3e a6msph*g ).fayv/f a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and lksow:7*mzv,i22x o ovength L is under tension T. The speed of a wave in the 2o:7io,z vs2xo kmw*vstring is 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 transverse wave. As an S wave travels throuj,)s x ggpu5oy:,v /.v id.cmcgh the Earth, the relative motion between the S wave and the particlg . ,o/)jdmcg v.yx5vsucip,:es is

  In seismology, the P wave is a longitudinal wavepcm9fpyv m uucxxl/-f*):*9z8 qmc8q . As a P wave travels through the Earth, the ruz:q8qmcc**99 8mf) -xumpfvl/cy x p elative motion between the P wave and the particles is

  The intensity of a waxc:+gqi yj h9,ve is

  A wave pulse traveling to the right along a thin cord reaches a di 5 l:9ket jjrms3wp5*jscontinuity where the rope becomes thicker and heavier. What is the wjjr5*t:9 pj lk5m3se orientation of the reflected and transmitted pulses?

  Two wave pulses with equal 7wmzg:ja,f m y5:4/ddq +hsihpositive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At theiwd5:+gshhy47dq/m:m,fj az point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rigp8 utnh5c,-nd g0fzp 1ht has a positive amplitude, while the one traveling toward the left has an equal amplu 0c5pf1, h8tp-nzn gditude 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 endsg8-botq a*lxvj y1j) e) qi7k., occurs when

  If one doubles the tension in a violin string92m2cubai8 meqljj *nu-u ) 7w, the fundamental frequency of that string will ibu)-2aicuuqwm* 9me 2lnjj87ncrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of p0q9 g ;:,:tdzagqyam0.600 k;0:qgt gpz aa:y 9qmd,g is suspended from it?

  A mass is attached to a spr;kyj+vkkb4l 8 6w;p,olig; )thk/s lwing 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 tl,b ;klhw/kk48 o)gj s+k piwyv;l;6its 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 horivh-0kt e i8*ndzontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Ihdt 8nk i-e*v0t 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 constant 6 m:wlwf +.nsq*0 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 f:n*f ls+qww .mrequency of oscillation?

  A mass on a spring undergoes SHM. It goe,b2wk 4o; gujgs through 10 complete oscillations in 5.0 s. What is the wg4b o;j2,kug period?

  A mass vibrates back and forth from the free end of an ideal spring of2+3i ic: .pn;dme arie spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of3:dei.m ii;+ec2a pnr 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 con/f/u 9-u*r lnwlcr 1cnstant 20 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 positf/llcn /*9 nwcr 1uur-ion. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4q:(:n:j lol, td*hbwv cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What:, :vt*olw(q lb njh:d is the energy of the system now?

  A 0.50-kg mass is attached to a spring of s( .z;cp:c4h4,lq4l il crldn wpring constant 20 N/m along a horizontal, frictionless surface. The object o,l4(.q izlwhr 4 cp;lld cc:n4scillates 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 spring constanv9*r:wt. wx;j+fdwq gt 20 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. At w . :qfwrt+jwvdwg9*x;hat 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 spry-6cfi4zkm/s )d (alaing constant 50 N/m and set into simple harmonic motio/6 y4k -(lzca asfmdi)n 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 ofk.-zrhck4i,g a horizontal spring of spring constant 50 N/m and g zr4k-k.i,hc set into 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 e;r1he nwo6naf5c tlb;4p4z t9 nd of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating f 4h96bzrn1 caopt54nl;;tew mass?

  The mass of a mass-and-spring sys 5t92rmjubq/s tem is displaced 10 cm from its equilibrium position and released. A fjbq/u5sr9m t2 requency 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 objectfaf( /f;ochg k no3xv(7iv91b is displvi3n9 ffg;x/o kfha(1 bv7o(c aced 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 spring of s9k2)/;y p3 wuwrvwrc(tki; vspring constant 10 N/m. The object isir s r/wycuw92k(w;; )vv3 pkt displaced 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/ pg:bemgwqiu2 vd8l(l (3o y. spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and rel .pg/qmd:iego( y8uvll2(b 3w eased. What is the frequency of its vibration?

  A mass is attached to a spri,)hthu a5fmsy6t 7 g.vng. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm6 f,t)sguay5mh 7thv. 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 vibrates witoup5qzog+m(a)- s t+grnyp*4 h 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 sor5a(p+sqp 4z*y+o)u gnt g-m peed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strewe88f: ;s9g:ghdjo6 l -xyjeqtches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcul edgy l:wj;s-g:8j96hxoq fe8ate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass sthrzd/ kwz*t *)retches the spring 2.0 cm downward. The mass is then pulled an additional distance of zwkz*h*rd )t/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. Inllm+2r5 pgr8u;l+g p j equilibrium the mass stretches the spring 2.0 cm downward. The mass is th+l;grmru 8p ll52p+jgen pulled an additional 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 versus time equ4lb;f:y- uzg6 wswxz 2ation:z: -b 462su;z fwwyxlg
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time ex(o*-ek ig.zvap4m 7 equa .evmea4pi z(*-xg7ko tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followinq2i yo mtlz371 eiha3:vlz. d5g position versus time equa:o ayizh3573ztm e21qvli.ld tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sps. 0gbvn,du+u-9 ibvv3ds5t vring executes simple harmonic motion according to thi.gv 0sus59 tbbvvn3dd, uv -+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 to spring with a force constant of 20.0 N/m oscillatfr(9t,brq7h rs er6 q0es on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the rq,r6f( h79 rr0sbtqespring 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 b).hz- kz1fy o2d vp6qs. (a) What are its frequency and period on Ea)vd-qz2z 1b.opkf y 6hrth?

  A 3.00-kg pendulum is 28.84 m long. What is itsmzx w7bzp w6dnvr;i2y4vv 0 (+ period on Earth?

  A pendulum has a period of 2.rggt9 u0v wz hv/ak26 e7x+pp50 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periodn7s v0hf e sfvjz qp3c(*45e-*mq5rrd on the Eard*mhqqsvs5 rv4fe(p5f0 er-c7 z *n3jth?

  The pendulum of a grandfather clock is 1.0 m long. What . phy o0rv1m0ais its period on the Moon where the acce0m 0ar1v ophy.leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass 6gfa7kg e0h-vw:7k*3meo)1na 8 wcbgevv.hs 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 a e3h6v g hkfw)o1aemnb8csevgw.v:- 07 gk7*frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistiw;l0 edcslp2 j9x/wh8 ng of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of; le hx8c0pd9swj/2l w 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 w.nb;bd2is j (*xft9u xave at a given time. The frequency of the wave is 120 Hz. dn2s*jxx t bf(bi.;9uWhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at cq7u+m4ql-n ga given time. The frequency of the wave is 120 Hz. W4m+ql -cg u7qnhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the9txf(nfi(i ;5dbv v* o wave isfxb t;*i(dv(vo95 fin 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 /2e;z soqm9 p0xm .:v:h2exq gft,bxo ms?

  What is the period of a wave with a frequency of 1500 Hz?q0;:(asq uc lc8j *htw5td2 qe

  What is the wave speed if a wave has a frequma -ri.jim87ldi x2i1 ency of 12 Hz and a wavelength of 3.0 m8 lixij1iamr2 d-m .i7?

  What is the velocity of a wave that has a wavelength of 3.srvud28+e*j z0 m and a frequency of 12 j+ r8udve*2szHz?

  What is the frequency of a 2oru 46ntjvm 4/.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m ic1z :b*zbdu 6(xr-lcb.echa isav78o7/bj o3s under a tension of 1350 N. What is the wa/*z8xbdz 7(ir-cho6b7c1.u:o 3b leab v jscave speed?

  A string of linear density 6.0 g/m tqz 1h6mm*mb h(ug1t/is under a tension of 180 N. What is the velmu(hz*m 1 hbg6tm/1 qtocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos, 9s95gdgim6hap +dale total,apg 6m9hg9l siadd +5 mass 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 b;7,q3 lphf xg a.8kvra*w+ru of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frv.qga+u fh wkb 3x8r*7rl ,p;aequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which ft + *rsakljw 22cmp:l0az/u,one of the following frequencies c:2 uazws a0mfl/ ctkp*,l2+ rjan set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standcxo hpw2 q:*0qing wave driven at a frequency of 480wq02c h *po:qx Hz. What 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 oziw(o vsuz/ zb-i) 9xa hdtl2, j-/9bstanding transverse wave pattern containing 3 lo-ti b,9 z/xivd9 2wl zj/osohz) a-u(bops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is unwbc9e(orf0zy+ b1kg *der a tension of 20 N. What should its length be if its fundob r0+fy(c 9bk1 egzw*amental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear fs(s(j gm0nui9nm13 bmass density 2.00 g/m and len1ng (ms0( 9isb3f jmungth 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 string vibratel l l3ui.h8ee+s at a frequency of 85 Hz,3 l8l e+iel.uh 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.