The time for one cycle of a periodic process is called thldx1d n vaku+ t)59dte3zl0i -e

  For a periodic process, the number of cycles per h9ck6g*wk -px unit time is called the

  For vibrational motionmd ong3 *lkjd82d zm-:, the maximum displacement from the equilibrium point is called thdz dndgl23 o:m*m8jk- e

  A mass on a spring undergoes SHM. When thbq7-5dft2g yr rec5 m;e mass is at its maximum displacement from equilibrium, its instantaneous ve;ge-t cmfb52qrr7dy5 locity

  A mass on a spring undergoeb)4 wq bmp7wfl+gu1+ ls SHM. When the mass passes through the equilibrium positionf47 +b q1 pgmbww)ull+, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemen kojs6s v1-e;yt from equilibrium, its instantaneojy-; eks1so 6vus acceleration

  A mass is attached to a vertical spring and bobs up and d/ o33bzxt 6mk+k/rz ftown between points A and B. Where is bk +xz/3m/r fo3ktt z6the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and byk. lmcprs9k0 dh8n ct0 i,r93obs up and down between points A and B. W0 lh ks, cy0r3t nkrm9c89.idphere is the mass located when its kinetic energy is a maximum?

  A mass is attached to-b pi ((mssz34y(k vgj21zpqm a vertical spring and bobs up and down between points A and B. Where is the mass located w3ssv 4z(y zki1p bmg2pmj(-(qhen its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between.3*oivgie7+xycw/ luh-n qu -s0je 4v points A and Bq i n+ce-04vu7.-uvoiswx el g/y*jh3. Where is the mass located when its potential energy is a maximum?

  Doubling only the amw,zopo4wfw oci :dqf)90p w 2+plitude of a vibrating mass-and-spring system produces what effect on the system's mechanical fqowwi wz)2o4d90 pfw c+:,o penergy?

  Doubling only the mas 5fr:fbj7jt7:h isxk 2ziv-io;o za;5s of a vibrating mass-and-spring system produces what effect on th5t5i s;f- fjahi;z:jo zirbx7k:o7 2v e system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spril58tsf1( xwoov: eyr /ng system produces what effect on the system's mlwr/oftsov 8(ye: 15xechanical energy?

  A mass oscillates on the en0 gunz9ee *i+zkpgi+5d of a spring, both on Earth and on the Moon. Where is the ezgk09z+n 5 eiipu* g+period the greatest?

  Increasing the spring co w i+a0+fjw3bgnstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume +aj30 gi+wwfbno change in the system's mass m.)

  Increasing the mass M of a mass-achi/ :;( gc a(hvmahj+nd-spring system causes what kind of change in the resonant frequency of thg(a +/v: (mhha;cijch e system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of bpcco9f xz db*ux*2,v13 ca 7nid0gl. change ig b*x*c.dxdnavl 30i217 p,fcbu9 zo cn the resonant frequency 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 a8 rbmphh23 v5of length L. 3p28h5b marh vFor this system, when undergoing small oscillations

  When the mass of a simple penduq:f .xl v uv+g+:v0ls -jd(zkdlum is tripled, the time required for one complete vibratvq.(v u+:f zdj: ks+xvgd-l0lion

  Both pendulum A and B are 3.0 m long. The period of A is x pec7d.j-k y-T. Pendulum A is twice as heavy as pendu7xpe jd -kyc.-lum B. What is the period of B?

  When the length of a simple pendulum is tripled, t:lav-e h1ib ,phe time for one complete vibration increases by a factolb ,p1 e:viha-r of

  What happens to a simple 9 e b4fj)asnu9pendulum's frequency if both its length and mass are increased?)es9nj 9bu4fa

  Simple pendulum A swings back n; f00qav5zfd*f93i;pb d1 rh ba )rlnand forth at twice the frequency of simple pendulum B. Which statemennfh;;0fzd1qr n3 9*alid f vb5bp)0a rt is correct?

  If you take a given p n)qf gq1s9.s *p.2nda/uvpajendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant freqap 9usngqj.qands*2.)v/1 f p uency of the pendulum will

  Curve A in Fig. 11-1 rqfwi y-3,jem) epresents

  Curve B in Fig. 11-1 represents3p7rnrm 0xi.p

  Curve C in Fig. 11-1 reprtw ;6 mnl,7uyxesents

  For a forced vibration, the amplitude of vib ,.oe8xe4dfcdxdj / i+ration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilib4ha ks /w)pr7vrium is called the w /v4hp)w7ks arave's

  The distance between successive crests on a wave imuea0 e5f :)gnnvoa gi)e9*f3s called the wave's

  The number of crests of a wave passing aiqtyps) a7*aax38t5uw gms0ag c5(+ r point per unit time is called the wave'sc * tu3pam+5q0 x5g8a7rasswt(y)agi

  For a wave, the frequency times t4p9g)y9rydoe he wavelength is the wave's

  The frequency of a wave f0)7.ys5 fariepbr1 at f*.*w se.ksb increases. What happens to the distance between successive crests1fs*rtsprf5.fw . ea)be*sk.0yaib 7 if the speed remains constant?

  A wave moves on a stw-ry)hufpj// d+ zn+lring with wavelength l and frequency f. A second wave on the same string has wh+lp)n zr/yf/d+jw u -avelength 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 t4ydt-c1jty b.q uj7wc4u07 wllp+y 9dension T. A standing wave is set uu4tqjlby ly17+d .w70j -9uwypdc t4 cp. Which of the following is true?

  A string of mass m and length L is under tenj id4lt 5f3l-ssion T. The speed of a wave in the string is v. What will be the speed of a wave in the s sf-ltdi4l5 j3tring if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is undee/ueno2 m*.oti7gqn (gn0(ik lg:3ym: us ip 1r tension T. The speed of a wave in the string is v. What will be the speeik3/1giyloqtu: psnge(:meoin*g07 (2mnu .d 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 under tension T. The speed of a wave in th6nd42w3ko(0 )gszx svz c4kohe stroscx nw v k0g6zh44s do2zk3)(ing 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;ht;ea emltwk/j ix 94irl 71; ee-zt7. As an S wave travels through the Earth, the relative motion between the S wave and the pt4;zx7- 7 9; elr/amihltke ;1weeijtarticles is

  In seismology, the P wave is a longitudinal wave. As a P wave travem*at(o -fs 5eels through the Earth, the relative motioe5et( -*s mfoan between the P wave and the particles is

  The intensity of a wave,*k*-ikug4vg6 lre ucl9q 6zh is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity wh4,rocwx n . eit9;/ lp;zcnd*gere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulsesp;.e4lxi zng,d*t r wn ;o/9cc?

  Two wave pulses with equal positive+qv v )d0kap-d dv44rj amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point thq+j dv-p4 kd 0)4vavrdat they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one trahlr( r* i; xbi47n7zp;f; m ejjp+f9rhk ,x1rcveling toward the right has a positive amplitude, while the one traveling toward thexfri+r,jrkjzh cn7(p re ;b f14;mp h9l;* 7xi 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 string fixed at both ends, occursdwbx mm7: -+bn when

  If one doubles the tension in a violin stringucg+ ycwd/a3j r.w uy .z8;-zw, the fundamental frequency of that string will increase bcw-;ya gu/wc+38. j zu y.zrwdy a factor of

  What is the spring constant of a spring that i7zcw g 5cg-b2stretches 2.00 cm when a mass of 0.600 kg is suspended5b zi-cc7g2 gw from it?

  A mass is attached to a spring of spring cotp y.itt pm,de .i,1k,9yoh r1nstant 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 amplitude?p. ym1ipo,. 1 e ,rtt,9tkdhiy

  A mass is attached to a spring pff0s05*-eqmwo sy2b3hqm,0t p .tsx of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of me *fb.p 3tmyox5tp-ssf w0q0,2q0hs5.0 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 constant 60 N/m a)ctp9w-0 xc zxlong a horizontal, frictionless surface. The spring is in -ct9 xcx0zp)witially 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 50gucuq/l 8fo7 .0 s. Wha0u / gouqc7fl8t is the period?

  A mass vibrates back and forth from the free end of an ia;d4 3xkn pwb:5n+ wm q+rzn.cwu4um2deal 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 equilibrium positi.axw 2u dm5+uzp4 wmnrq4bc+3 kwn n;:on?

  A 0.50-kg mass is atth+- d.n2smc zdached to a spring of spring constant 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.cz - d2nsdm.h+ What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thiynm-3d 5jl hc5s time. The mass is cut in half, and the system is again s-5jh3cml yd5 net 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+bb pza+l 8bn0gyz: :rlong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equi:+gb z 8b:bl r0p+yzanlibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizz18xlb.sgz g 2z v u(wwt)ka+,ontal, frictionless sur g .8 wz,gzkbvw(z 21)sxlua+tface. 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 e (i2v8cjvb6hp nd of a horizontal spring of spring constant 50(hcivv2jpb6 8 N/m and set into simple 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 of spring cl69bz ;ubby: konstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total y6b:9lu; zbbk mechanical energy of this system?

  A mass vibrates back and forth from the free e9yd dq/dsf9j ,nd of an ideal spring of spring constant 20.0 N/m wit9y,d/f 9d qsjdh 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 10 cm fr(vqwt(ouil66xks 9c5 om its equilibrium position and released. A freqv6t9u6 qwislx5o ((k cuency 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 ae 0lrn9y,m v1((wl;wj/h ddy s spring of spring constant 10 N/m. The object is displaced bdwr( y1nelj v ls,/;wh9y(0m dy
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachyp;7pn f vd3uit22jvnmol) 59ed to a spring of spring constant 10 N/m. The object is v25tnn;p fp od u2i3 l9)m7vyjdisplaced 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 o5701u v:,xq)hena kwr+g rd gN/m, displaced slightly from its equilibrium position, aneh, kr o nr:xwua 57dvg1+)g0qd released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz i),ui rrlmt2 zg ys:e6ef+yi:b c0a 32zag7d2when displaced a distance of 2.0 cm from equilibrium and rel ziilagy0bi 3 :f2u+ms gc: 2r,2dr7aet)z e6yeased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. t tj)z fh9hk5* xm*r*vMass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude *5t*mjt *)hfr vh 9xkzof 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. Io41 nm;8x-exb45sgvs e dye1ln equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addition4l1s-4se vx gm;5e 1dyobex8nal 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 equilibrium the )h(w 7qix)tdu es(rb c)g n3tn1l-/ fwmass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calq1(g- b(r )lfxc/ ie)nh )sudnwt73twculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t svw,-2lek(mp he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relelk-(,ep s vwm2ased from rest. Write down its equation of motion.

  An object in simple harmonic motion og; )f2(r(c 1wxf.3aioixh be lbeys the following position versus time equat;ahi 1io(fxcrlx)egwbf23 .(ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position va,u.r bk ol :dmfwt502wg. 6lfersus time equationlm,tdb5f.:0w.alg2r6wo f u k:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion e co3l wdb uee.v;men8)u- 4iqz-61cuobeys the following position versus time equaedcn -3v8 uz ee) e;-ow1buil64 qmu.ction:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic +g+y7d m, wjf8zhq +rimotion according to the equationyjhrd+izgm8+,w+q 7 f $y = 0.50 \; \sin (18\pi \times t)$ 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 fogb5 k-dt/si u(8vs3 nrrce constant of 20.0 N/m oscillates on a hon krgs bi38 (v5-tusd/rizontal, 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 complet323bjd *+ira, hi 6(iqv0 wtnxhtf)zve swings in 8.0 s. (a) What are its frequency and period on Eartf r hw,(za3 nv0*tiq6vbdhj+23iitx) h?

  A 3.00-kg pendulum is 28.84 m long. What is its period on E kx9nkn2*9d ghi;:f edarth?

  A pendulum has a period of 2.0 s onn:;4ka7uaxlrnai +d gx0 b7f5 Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What zhk s;i7h ::unih,vj 0ykyz90q n2t7a is its period on the Ea7h0an hzqvy:s9iz,7k yi:; hnktu0j2 rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the-9 irpkho78z el c17di Moon where the acceleration due to gravity kipo9her1 czid -l787is only $1.7 \; m/s^2$?

  A simple pendulum consists of a tu5klb m .50 d7gv8ymzt n5/hz0.25-kg spherical 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. W7b5kt uy0v / thm5zng. zldm85hat 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 displacement ogvqj,u( 7 yb:tf 8.0e. It t b:(gqujyv ,7oscillates 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 atcdao+g5 2ydk. 74kznl a given time. The frequency of the wave is 120 Hz. What is the a7 cnlyad2o4. +5k dkgzmplitude?

  Figure 11-2 is a "snapshot" of a wa4ngm -o. )kclwe)wz)ngb c6r0ve at a given time. The frequency of the wave is 120 Hz. Wha ncg)n-r )o zb.gew0l4kc)m6 wt is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of tp 0bv a(um;6ithe wave is 120 Hz. What0 t;a6vm b(iup is the wave speed?

  What is the frequency of a wave whichql*/; 2t z9bs6peji x. 8sskpy has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 H4 4lxkmz0d: avu0bje* m1,jlzz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o-st -8wq v-lmef 3.lwe-qs8mt - v-0 m?

  What is the velocity o f1vx kl8(wtw2m hg7.pf a wave that has a wavelength of 3.0 m and a frequency of tkp8m2fl71v gxh (w.w 12 Hz?

  What is the frequency of a 2 t;l01u7( fs:hls*x-dy7met d s ii,gby6c2s f.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tens+kwlm(*e xqz0 ion of 1350 N. What is thw(elkx +m *q0ze wave speed?

  A string of linear density 6.0 glfqmk.+l, p 5o/dhjo)/m is under a tension of 180 N. What is the velocity of propagation of transversdllk.o + j)p5hoq m/,fe waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 o 8sqr6s/38 qe*d- sm5n iorct/zniz n. sxu5)m long wire whose total mas m8 x.)z 6/crqriss *5szos 3o- n5eint8uqdn/s 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 transverse wave oq -auzgk1 yml)5 -mr, 92ray(m 2amrxen a 2.0-m long string fixed at both ends is 200 m/s. Which one of ty-) qm 12 -9rlgya,(mm2eazxk ra5mruhe following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency;y1u4hjifz7zpvbi/f 6t2r1 , oael 1 v of 500 Hz, which one of the folloer1yb,1fhf7t2pz/j;vlai u o6 i1z4vwing frequencies can set the string into resonant vibration?

  A stretched string is observedh /8s o-joql dv03t.5j oevwa6 to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wae s oovwa .q0/3vj5htd6l-8j ove with five equal segments?

  A string, fixed at both ends, vlva( nas1sk ,j d7hr53ibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standinj1h( 7adk3anv,ss r l5g wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.hdoi3.b33j bk What should its length b3d3bj.i3b h oke if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/ n,o;rn t/53t mgkfqo/qsp v63m and length 0.600 m wheng kf,snot 3pqmvq;/r n/o 536t it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When t4j0sfm. pbaf4w,vbx9+ yk2 pwhe string vibrates at a frequency,wp b mxykf42bavp.09 jf4+s w of 85 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.