The time for one cycle of a periodic pr6 9yx99+hscpaxdcj,pgoqf, 4ocess is called the

  For a periodic process, the number of cycles per unit time is call5bupicx 3/i 8yed the

  For vibrational motion, the maximum d g09si yk gu;.mclw-7qisplacement from the equilibrium point is called g7 yqc0-sm.kgwl;i u9 the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementqzc:wc)vw*fv xrc -t-jy2 3(h from eq c2(jtww--):rv qx vh3cyzfc*uilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equi gana2/5ats*,b oo ig7librium position, its instantaneous at2/5,gs*g ana7 oboi velocity

  A mass on a spring undergoes SHM. y.1vvt :dy,i hk/r+- pbiq 8xwWhen the mass is at maximum displacement from equilibrium, its instadrq8-v1h:bv/yw kx.+tiy,pi ntaneous acceleration

  A mass is attached to a vertical spring and bobs up and dj6db jz, gui/z8.i,vxown between points A and B. Where is the mass located when its kinetic enei,zxj/djbz8igu.v ,6 rgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b pu.yb+q41+a 8-jqyfjpq iz; ffp-l8e etween points A and B. Where is the mass located when its kinetic energy is a maxim - lup-yq8zpi;1b 8fjqef +.q pfay+4jum?

  A mass is attached to a vertical spring and bobfrj wxh) g.og /yb467os up and down between points A and B. Where is the mass located when its potential ene 4x hg7oy6j). rfobwg/rgy is a minimum?

  A mass is attached to a vertical spring andti:/ii4 /ssrkxr4y ge; cq9v9 bobs up and down between points A and B. 49: t/ eiviskry /;qxig sc49r Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-a 8uqeeq1rpm/en+ 0wlq4c fhn9x p50f:nd-spring system produces what effect on the sc hrmfeq49enn:1 wp+ qpf/eqxu800 l 5ystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pruw4z1j8eyou ( oduces what effect on the system's mechanical energ(o14y u8juwez y?

  Doubling only the spring constant of a vibratinsmq2kvk z8 xmax)6ll(cwh ./+. df9j fg mass-and-spring system produces what effect on the systa68f lk.q(vzms9hd.mlx)j wfkxc 2/ +em's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and o2wxnh cbowk7-v) ;c u8n the Moon. Where is the period u- hbo 7kn8cww)xc;v 2the greatest?

  Increasing the spring constant kt0 64hryy ng( s)no0(lx-plwr of a mass-and-spring system causes what kind of cha)r t(6 -w ny0lx n(4slpgyor0hnge in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mp3ltk:cp : xv3ass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the systemlv:p3k3 pcx: t's spring constant k.)

  Increasing the amplitinh, a7y2hlyr vk5ft.ff6*q 7 ude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume nl y7 vfar2k5*t 7h6, nfi.hyfqo 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 tofh )pvv z:6h8b a weightless string of length 6h8pv bfv)zh:L. For this system, when undergoing small oscillations

  When the mass of a simple pendumnqyf(:-r u r2lum is tripled, the time required for one complete 2:unrrqy-f( m vibration

  Both pendulum A and B are 3.0 m long. The period of A is jlphh6gy;(vr..eg s1 T. Pendulum A is twice as heavy as pendulum B. What is the perioglsv gphy rej(1; .6.hd of B?

  When the length of a simple pendulum is trxt -xawfi+/7dipled, the time for one complete vibration increases by a factox/ia7fxw+t -d r of

  What happens to a simple pendulum's frequency if both its lengtrb,8c a -d-j8uu ,brvxh and mass are incrjc,rbvx8d u bu8- ar,-eased?

  Simple pendulum A swings back and forth at twice the frequency ovd8u4m1- u3z ik ihga ,zg)d3;cex5lmf simple pendulum Bm5gd a,cl3d h4i; 81eik3zuvx mugz)- . Which statement is correct?

  If you take a given pendulum to the Moon, where the accelerati 3eqh.jp9j o 0d( b+z14dobukfon of gravity is less than on Earth, the resonant frequency of +b3 1zdb0dj9h(k e4q.upf ojothe pendulum will

  Curve A in Fig. 11-1 re(15f(lma8m-ayi 4 6 c+zmi 7 tuuxiarepresents

  Curve B in Fig. 11-1 repiu51 evggm-w)1jaj1pc4 b 6 dxresents

  Curve C in Fig. 11-1 rel7ix5f*-k*pbmherh 3 b 6uo 6w/cq/k epresents

  For a forced vibration, the amplit*7*ru2ae j fzwude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium i4frpt *,qype. s caeq ryp4ft*,p. lled the wave's

  The distance between successive crests on a wave isvhsihj6ye2*0j*0irn y 0 2ffs called the wave's

  The number of crests of a wave passing a point per unit time is ce3qih3m b/ tg1ssk *q1alled the wave'sk ss hqte3/13gbiq1m*

  For a wave, the frequency times the wavelength :sxhv94( gu6 ywgne+qis the wave's

  The frequency of a wave increases. What happens to the distance between succesym;pwr4 r;2awsive crests if the speedrwpyrw;2 m4a; remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavet;-j )gxh es)p on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?)js h petx;)g-

  Consider a traveling wave on a string of length L, mass M, and t1, 7x t(d0mt +y*sody )rmowniension T. A standin*o(md17 ynt)mrioty + dx0s,wg wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in5sq bn8sr)on:l r2rx yxd5/ (d the string is v. What will be the speed of a wave in the stb(8xrl)5 dr:n5dsn rqy 2sxo/ring 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 ;y(vhv qdt d/;p; xgcp*;. swwa wave in the string is v. Whaqwc vps*x .d; t;y/;(dghp;vwt will be the speed of a 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(l)bi:gbjb kn(88ozk 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:b8kl(kb)z( jng obi8 tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels,c;c ovbbqs+* through the Earth, the relative motion between the S w +vc,c;*oqbbsave and the particles is

  In seismology, the P wave io;g0l z8qt 9-wew)mhds a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particleg;m9l)t0 8ohqew wz-ds is

  The intensity of a wa w.(blm85gez 1pri7fjve is

  A wave pulse traveling to thexzob7azit0+1oo. 3; vbps;b q right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. q toa+;7x bs; pizb31o.ozb0v What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudesz 6s,hcq gik,c+k /jr, pass each other on a string, one is traveling toward the right and kg6+,qs,kih zr c, cj/the other toward the left. At the 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 towardb2w x+*g8 v*vnw mjb9h the right has a positive amplitude, while the one traveling tow 2gwvb *hw*+ mxjnv8b9ard the left has an 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 stri6f rrjwo0/cn2y5p+j. d ,iwlpng fixed at both ends, occurs when

  If one doubles the tension in ax4n3hyjg3f 0h violin string, the fundamental frequency of that string will increase by x3n4hjyg 30hf a factor of

  What is the spring constant of a spring that strei*ne:v e;k9sl5/ wpq stches 2.00 cm when a mass of 0.600 kg is suspenw ni 9vks5ep*;:lsq/e ded from it?

  A mass is attached to a spring of spring constant 60 N/m ak;54e2ngi -k fylszew5(v.ydlong 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 024dvfwi5 5e-;n. s gkyyz(e kl.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 60 N/m alow d -g:2vnwa;id1.gfcng a horizontal, frictionless surface. The spring is ini.;:-fgnwgd1a dci 2 vwtially 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 oscillation?

  A mass is attached to a spring of spring el q z(q6py md7;d:za7constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forcazm qd;:(76qpdye zl7e 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete ospyc)n:wy( n.v 3 p2 yqjjdo-.mcillations in 5.0 s. What is the perd3 -pyqj:vn.m cn() yjp yw2.oiod?

  A mass vibrates back and: zvg 6fhg7l1a8zrea1 forth 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 its erv6 g8 1fzh1zgaa:le 7quilibrium position?

  A 0.50-kg mass is attached to a spring of spring consyd :3mcpw 16fl r3h( lmyoo.t,tant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spee(lr tc3 .6mlohy3p m,y:wd1of d 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 xu9w65lf:w+,gx e epa.0 J at this time. The mass is cut in half, and the system is again set in motion wit9uela+x wep wf56xg: ,h 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 along 5d1wz r 7tzdavm,5+uw a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the ud1wa5vmd5t z7r+w, zequilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sprin)h,rpw+ w+z 1(z kc14sr/inb drwy3eog of spring constant 20 N/m along a horizontal, fcz1yb31w 4r /zeriw,dnpwrok +h()+srictionless surface. 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 horizontal spring o( 4 fmgtar:m3gf spring constant 50 N/m and set into gma(t:r m fg43simple harmonic motion 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 of a horizontal spring oft.*qgi0+ ekzhcr2+gpc -9a ph 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 thizeq2gpk +-9g c*ih .par0+hcts system?

  A mass vibrates back and forth from the free end of an ideal spring of spwhk n1qd21( vmring constant 20.0 N/m with an a 11(mkw2nd qvhmplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syse al.ma:yf.ch- /xao*tem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be mco*/h a.xe :f.-layaobserved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is atrg-8z:j 3rdm0ig/qc 2kk*tp wvy9s4hrwd: 1jtached to a spring of spring constant 10 N/m. The object is displat8p:k qr/s2wi 0dz k c *y4whjd:m9vrrgjg1-3ced 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 spring nkwbf: dr :td,3d57eh constant 10 N/m. The object isfwt3 e5r, 7k hdddbn:: 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 spring of spring constant 18 N+fymwr511+fq-lvv. k u-0pmc g.ev,f5ae u hl/m, displaced slightly from its equilibrium position, and released. What ilh 0kl1g .m -e apwm5cv feqfu-y1 v.+uv+,fr5s the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 cx. k 3dxvka8i-3cmx 2 0a:ydsHz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximucsa xdyx2:md -a8k. ci33kx0vm velocity attained by the mass?

  Two masses, A and B, are att 1(jf5ufoldj8fhl-01wb c1hm ached to different 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 the maxihwlfjjhlf 85fb(uo c-1md0 1 1mum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendediwec6 (i t loo:5gr*d9 on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then p6o w *dc i9:letgir5(oulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equili.eigq.wug p qm602,z lbrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an add. ,qu2wzeqg6ml 0ipg .itional 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 stretches i74tp.okn 8 dq,rdpr3 the spring 2.0 cm downward. The mass is3p ro8i.nk4tp7 ,drqd then 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 fcobs4*r ;zuqb d7j: i-ollowing position versus time equati:iur;- bjsdz7 4 coq*bon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pom,;g:)igu gb*o lwm,:n1 xttzsition versus time equatbwom,i,t nx)um*::lz ;tg1 g gion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positiof04tmi :dp)gp n versus time equ4fig dm) pp:t0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motionpq*8 x(n g, 4.nsec2qx fq/zdc according to the equati8e4x/dq2cn* .cqs(q,nfx zp gon $y = 0.50 \; \sin (18\pi \times t)$ 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 fo;9-xb-vs+ k n 6vpyn*fumpul0rce constant of 20.0 N/m oscillates on a horizonta0n9x; fp+byvsk6 m -uvu-p*ln l, 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.)
(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) Whaxax6(s 6ixitj(t z;(w t are its frequency and period on Earthxiixzwj (6;6ts ((x ta?

  A 3.00-kg pendulum is 28.84 m long. What is its p;qpqru, :br(aeriod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le0qac,x8yiw3 c ngth?

  The pendulum of a grandf fgtu-xb.7yr0l.lmngb h()3 w ather clock is 1.0 m long. What is its period on the Earth?y3hbmg-. wtu(l x) .bl 07ngfr

  The pendulum of a grandfather clock is 1.0 m long. What is9nke9x)k ib3 m its period on the Moon where the acceleration due to gravity is only93mnk e9b)xik $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical masyb9)ej)2 016jsfejkm b 1low fq87dvzs attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with ayjf0eze)2f9 1j8b o1jw )qbm7ls6dv k 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 initial angular displacem0 h;yvblt fubp5yjd5h/; t 4bpw 50h8t bxg0+qent of 8.0e. It os4h gub0 twvdq5ptlb00t x;j hby5+y h 8f/bp5;cillates 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 wave at a given time. The frequentc q-,cgjxj/p v; /ik(cy of the wave is 120 H- ik/x/c;j(cj t,pgq vz. What is the amplitude?

  Figure 11-2 is a "snapshot" 2nz1 7cv 6gqfwof a wave at a given time. The frequency of the wave is 120 Hz. What is the wavf z7qw6c2g1n velength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency o ow 2/dmq:r5a;f u1pksf the wave is 120 Hzaq;2u :mpwf /dksr5o 1. What is the wave speed?

  What is the frequency of a wave which has a sq l 24 e1/t)z4enoghakz) r6sm49bnbperiod of 6.00 ms?

  What is the period of a b9z v5b tdx+pg/y7e a7wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 8jbhxo b f.:yo)7/ tq8i ce6uv3.0 m?v cbitqeo.):7hbu8/o8 yj f x6

  What is the velocity of a wave that has a wavf 7hyxyw0 u+.eelength of 3.0 m and a frequency of wy7 xf0+.e hyu12 Hz?

  What is the frequency of a 2.5 m wave travi133 1n/pftd w o1sgvfeling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/uvgjpk k) l,pu2.s /m5ja .+afm is under a tension of 1350 N. What is the wave speeuj )a k pg+.aj5pm2kvls,./fud?

  A string of linear density 6.0 g/m is under a tension o7d 1il;m*xkze0q xs h-f 180 N. What is the vel h m0;sz-q dkl7xi*ex1ocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whoco0 c6-n r1wvbn/ lrj4se total l ob6rv 4nw1rncj c/0-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 of a transvers,0d,xjtqahh(6wa(pb l -sm d3e 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 frequencyl,jdm6d ahp-qbashw t0x3 ,( ( of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whic 9)rm 0u sd9g2br3r*:y az8q,cujnzujh one of the following frequencies can set the string into resonant vibratd)urrj g0*su:,ycmu9zz n q9r 8bj3a2 ion?

  A stretched string is observed to have fou6v d9det.i) nsrh5u(if;h1aur equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standi)6 e sd n.(udi ruht;95ifah1vng wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12wpl4u40 lr0pyflk )e is,w-bn e7ta44 Hz with a standing transverse wave pattern containing 3 loops. What frequelae-fb04tu ,p44k p4i7wlry n 0)lwsency 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. What should i2w a-a j/io/yuts length be if its fun aa/y2ji-w /uodamental resonance frequency is 220 Hz?

  Find the first three harmonics of a strfjz,gx tt0vtev266 - cing of linear mass density 2.00 g/m and length 0.600 m when xt6gtc,ef0 -ztvjv 26it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When then3.7hmja0(r b+q zj bo string vibrates at a frequency of 85 Hz, a strj ojam.0zb (bqh3+ n7anding 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.