The time for one cycle of a periodin.) zd2)tjk(njoj3 j ac process is called the

  For a periodic process, the number of cyclesoi)upk8xn g0gmb5/ci;o * vhvka2 z)* per unit time is called the

  For vibrational motion, the maximum x:r -kbqz:ajfm0 7 m:ydisplacement from the equilibrium point is called the- f:0rb7:xj :qz ymakm

  A mass on a spring unvakz v- /0 r2gp-*hna4me7+cauak wk, dergoes SHM. When the mass is at its maximum displacement from equiliuza,k+w7/c2 *paa ev-vkk4ag n0h mr-brium, its instantaneous velocity

  A mass on a spring undergoes SHM. Wh7;z;9k ylodeeen the mass passes through the equilibrium posi e;yokd97; leztion, its instantaneous velocity

  A mass on a spring unv lwvca(c/34zy d0(fm dergoes SHM. When the mass is at maximum displacement from equilibrium, its instantane 0 yldvvc3m(fwzc(a4/ous acceleration

  A mass is attached to a vertical spring and bobs up and down between pok(mrte p1 i01iints A and B. Where is the mass located when its kipki(01m1 r tienetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up aao a730ms-1zwekum m 5nd down between points A and B. Where is the mass loem-z 7aw30 5ukms oam1cated when its kinetic energy is a maximum?

  A mass is attached to a vertick39( l sw4v*+qhg2z29zy zeye*md.vpdp bv)ial spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minwbeqdl+m .22y) p9k(sd**veyp vgz vz94 z3i himum?

  A mass is attached to a vertical sprioczgbc a hv3v56 f8qh(ng3/q/ng and bobs up and down between points A and B. Where is the mass located wovb5qghn f 6h( 8c/vgz q3c/3ahen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring q 3nfn8k4*yj2 tkaima m9m2ocsk o7 ljl12g(- system produces what effect on the system's mec(l-2as379 ltaqynm2k jojicn4o *f2mkg 1k8m hanical energy?

  Doubling only the mass of a c(uyo /750z/ bnvny zrvibrating mass-and-spring system produces what effect on the system's me / oy/ bnzvn07zur(c5ychanical energy?

  Doubling only the spring 9 9rnd9xi7rw 1xbmha.constant of a vibrating mass-and-spring system produces what effect on the system's mechanical energab9.rxdw 919xi 7nrm hy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whfme-j:c :*mqg o4u8zs( ruy n)ere is the per-jrzmonsuf (8 4 yc)emq :ug:*iod the greatest?

  Increasing the spring constant k of a a)l(31daz bmp mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the ) l3p(ad zm1absystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what xz rder:so:m.cq65dk 7 p9jg(cjq q l,j;r /w8kind of change in ;r:s68 j .qe (k/po jdm clg:rjw q7,crz9dxq5the resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring j jqq.;jht9 it 6k3+omy+.hz msystem causes what kind of change in the resonanhzt ti.mhyq+.o63kqm9j +;j jt 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 uzjf f)ke9coff 2us+ct 0,:2ka weightless string of length L. For this system, when undergoing cu o)9 2je+:k0f2ctsf,zk uffsmall oscillations

  When the mass of a simple pendulum is tripleddhtk(cq0 7v i0mb2db), the time required for one complete cbhvi m70d0db(2kt)q vibration

  Both pendulum A and jtw9(4 lkg jg2y yx4:aB are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. g(y g 4 9jlwa:t2xk4yjWhat is the period of B?

  When the length of a simple pendulum is tripled, the tu hdgt57ae6d+ime for one complete vibration increases by ad 57t+6 aeghud factor of

  What happens to a simple pendulum's frequency if both its length andfz im)fsg a- 8j,;wlq)4hlbk , mass are incre zh,-g fqsfk4i)lj b;a,wlm 8)ased?

  Simple pendulum A swings back and forth at twb(vcdhawmitpg vb1;2: 6 fo +1ice the frequency of simple pendulum B. Which statement is pg612v +fd mo ivhwbtac 1;:(bcorrect?

  If you take a given pendulum : lf 9z2on,,z4 eokc0sok0z g9poxa6dto the Moon, where the acceleration of gravity is less than xoonkf4acg,9:6 2k ooslp, ezz 00z9 don Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rkkc3 s: c+ljx4:yd*jgepresents

  Curve B in Fig. 11-1 0wvk5 hjds326)zf p .bd+oqjerepresents

  Curve C in Fig. 11-1 represent ,pz85rfz,u n)zo s5mns

  For a forced vibration, the amplitude of vibration is ff:ybc./ kacg( ound to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is cw6eu:izjef5y u5s*q8m bqz ,7alled the wave'suf j,sz qe8zqbe:6*uiw755ym

  The distance between successive crests on a2c*i ;(9b 1mngbhzhpm wave is called the wave's

  The number of crests of a wave passing a point per unit time is called /wofge s *b yi6lo;))j,ys,wqsi o.x7the wave'sw) ,g oj,6bosxi)i/q*. 7yf owsy el;s

  For a wave, the frequencyqsthu3s0p y-,o 9rk 7h times the wavelength is the wave's

  The frequency of a wave increases. What happgte1q5b*-bt j ens to the distance between successive1*5 gqjett bb- crests if the speed remains constant?

  A wave moves on a str9q c6d)bqnj4ding with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What i4c 6d9)q djbqns the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A laoma6 qn55s6 standing wave is set up. Which of the foo 5q5lnams66 allowing is true?

  A string of mass m and length L is under tension Tvhims 6 f,y:lpepvw.,8 9tz,y. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the strin. 9fh: iev,wts p,8ymly,v6zpg is increased to 2m, with no change in length?

  A string of mass m and length bk+ f/l n2 z5wsakgbzy8r/1r :ufe-s4 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 s f8 5l/bea:-z2sr4kk +fb/1ns rwuzygtring if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tensioys q4+. rpsvo)o.u(u-qj)lz zn T. The speed of a wave in the string is v. What wyz-orjl p)(s).. zq4u +su ovqill 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. v1+0ui 1oxarhAs an S wave travels through the Earth, the relati ux1av01hior +ve motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave pzz i9n 8wezs s:+jd4,travels through the Earth, the relaj4z8+spde: zw in,z 9stive motion between the P wave and the particles is

  The intensity of a wave ;nwxt m/v8en1 is

  A wave pulse traveling to the right along a thin cord reach7 v :m9/s8*bytk+gx 6i c rg9i7afniemes a discontinuity where the rope becomes thicker and heavier. What is the origr 7gm ti+*s9 7 vmcxn/ f6ye:k9bi8aientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a(f bsn6,f8rl( zbs afm)y yg25 string, one is traveling toward the right and the other toward the legyzbsr, afy( 2n m()b68slf5fft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string2h /em )ryc.;i+ewo ousd7 34nng2uhs. The one traveling toward the right has a positive amplitude, while the one traveling toward theh+ies o d. 73uc4seum;/n2)w o2grhyn 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 endh(d8 znd5o 3czs, occurs when

  If one doubles the tension in a violin string, e5( 3 zta5zwqpthe fundamental frequency of that string will increase by p(te5a q53wzza factor of

  What is the spring constant of a sprrg z:nw,z:vi3f( ef+ ;q/pyep ing that stretches 2.00 cm when a mass of 0.g:/yzieq+ p efnvr pz3,f:;(w600 kg is suspended from it?

  A mass is attached to a spring of spriu; m 1 4,evu2qtlzk/wing 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 1umiztle 2k;qv4wu ,/it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m alg2 p9v;tnzr-f 8j/oka.za rj+ong 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. gp;z/tak j2 9+jrrn-fz8a. o v What is the period of oscillation?

  A mass is attached to a sp z807h0oro byering of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.08 b o0yrz7h0oe 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 thr5q bj/: 2 .htecukxo:fu*u f;w(jkknwwt)v78ough 10 complete oscillations in 5.0 s. What is the b;:c ut2*n8vtofuqkk ) :fuwwwx5/.k(j 7ejh period?

  A mass vibrates back and forth from the free end o47ubm wmpvuzo;j-e 5v*;g)qi f an ideal spring of spring constant 20 N/m with v i vw*mm-z);j7puob;g 4q5euan amplitude 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 attawi0r;ix ncr 9+ched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates0x;r 9rwciin + in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitudeo3)xf: ss,kjg of 4 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 amp,sj)koxg:3 fslitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sprin 5gwey-i0c 9f-t0v fjlg 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 9j -f5c-ly0tiv ge0wfequilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attach ya tbt+ -p2rbw4lw+q ,w9kxv 1)dt;hred 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 pos wt2)xadpb1 kqh ;+v 9,- rlbrwtw+y4tition. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is att8 suqp*eti;7wached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0qs; *tu8e7ipw.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the en ;fs,qlu /g g;vm6.sbv*b9jm wd of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whaubwf/ggq6 m *jbsvslv;;.m ,9t is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spri :ik :k55trw v7f.rqpsqey2d:ng of spring constant 20.0 N/m with an amplitude d5fk75ki qpwv: 2:rt: qyes.rof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is da */-t avf1y/bae bcu(isplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Whatfca*1a/ eby -ab( vtu/ 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 sprin8o gju22tu72qe1lrv i g constant 10 N/m. The object is displacedju1e28ovu2r2 g 7iqlt by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached5x9nf(sr;grw wxqs96 to a spring of spring constant 10 N/m. The object is dsg5fnwx(r9r 9ws6 qx; isplaced 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 constantzgeibz p .:k0vq6-stzhrc*xu * ((na. 18 N/m, displaced slightly from its equilibrium position, aapi0c k(tn .zxze b:sq -r**u6vg(hz. nd released. What is the frequency of its vibration?

  A mass is attached to a sji 2mn9p c)8jipring. It oscillates at a frequency of 1.27 Hz when displaced pm28j)9ncj ii a distance of 2.0 cm 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 olpgeauhs-) ck8v7 mtq:ex, p:(m.7f 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 16hv.ec(qoep:x s7l :t 8)k, pg7f-muam Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended onnpe97zreo om oj :4xs3*9xzy2 a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dist2oy74 sep9oz9nz3r* mjx: xeoance 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 ooy026t)rq ueequilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rr quy)6ooe t20eleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended xl+ rodw(30u*bdyr (kon a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down bkrudy3 *(0x(dlr+owand released from rest. Write down its equation of motion.

  An object in simple har wyv2:svh5*0fxwd bu2 8x p7vzmonic motion obeys the following position versus time equazvwbv *x5psw : 2 u07x2hf8vdytion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versun9 map1 0-i-bbbrcq r)s time equ ncr)bp- rab 0m-q9ib1ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versusu)r m5 v8 59wz1stvm+mmx9t m+ctw;ll time equatumw tr5t lv8++)5tv9x1c ;zls9m mmm wion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fresnf7 )8o zyl/de end of a spring executes simple harmonic motion according to t y)oslnf8zd/ 7he 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 oscillapqna 499 6jgs0:xtuki a *rb)ytes on *ta a0r s6b9ij yxp4nqu :)gk9a 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.)
(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 w*doq+3elntqz h/ n+w5po)x f (p,nj4complete swings in 8.0 s. (a) What are its frequency and period on Earod)e + n,wl*wqfnph+z3x/4q pjnot5 (th?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earbc- yj uqme -0t,ncoeg +6id/0th?

  A pendulum has a period of 2.0 s ono74pmhqr* / wn9eb,nk w.ts8v Earth. What is its length?

  The pendulum of a grancwa29i g2w ul/dfather clock is 1.0 m long. What is its period on the Ear2uwi 2 l9/awcgth?

  The pendulum of a grandfather clock is 1.0 m long. What is4sqh; woo)mdh7(d5 s k its period on the Moon where the accehsdk7q)oodm ;sw(h 45leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherp behtl1 50m+td2s r ka)brk;:ical mass attached to a massless string. When the mass is displaced slightly from its equilkeb2) rm t1t p;h:5 kr0da+blsibrium 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 initial af;rzq2rd )u 0kccmod5 (7hhv7ngular displacement of 8.0e. It osc;d o27rmd z7)r 0cucfhhvq( 5killates 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 frequenc/7yhnd o mav39 9f9vtdy of the wave v3h7notfa9/ dyv9 9m dis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave w9wk9m1-ks: p+yylmzvlqu, 7 at a given time. The frequency of the wave is 120 Hz. What is the wav9y7mv +9y w lqk-:1s,pzu lmkwelength?

  Figure 11-2 is a "snapshot" ofr vgirr5*tmus 1w978n a wave at a given time. The frequency of the wave is 120 Hz. What 89wrn7 tgi5v rr su1*mis the wave speed?

  What is the frequency of a wave which h t;6+euvsw w c2wm :(fp +4jp1rgkkob3as a period of 6.00 ms?

  What is the period of a wave with a freui, 5ulo3x5+bw7j zhuquency of 1500 Hz?

  What is the wave speed if a wave has a lg-0cx gkmm ;.frequency of 12 Hz and a wavelength of 3.0-lgmc g ;0km.x m?

  What is the velocity of a wave that has a wavelvuhtz+z,t 4q 94kz oj+ength of 3.0 m and a frequency of 12 Hzkz9z4v,4t +jhu otq +z?

  What is the frequency of a 2.5 m wave traveling at 142v.vu v6(q-i ic:d ym(kodm:w00 m/s?

  A piano string of linear mass density +k qm(zj)8s*em :ung b6n7qhe0.0050 kg/m is under a tension of 1350 N. What is the wugmsek nzbm qq(8h*+6 e7n) j:ave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. t0yl*:q 8d wy ty883gbs.qzuq What is the velocity of propagation of tran8gybqds3yqwt0 u*t:8yz 8 lq.sverse waves along the string?

A wave whose wavelength is 0.500 m is traveling downx:yi w yu ho7*g;mx9q( a 500 m long wire whose total mixu9y: h w7 x;oq*g(ymass 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 transv19 qrq 3r(v3svenowk rv; 5x9ierse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the followin(nr 9vv39rsv; qor31xiw 5ekq g is not a resonant frequency of this string?

  If a guitar string has a fundamental fre;pz:xv 29 ongkquency of 500 Hz, which one of the following frequencies can set toz;g9pkx2v:n he string into resonant vibration?

  A stretched string is observed to have four equal segments in a st9pyy r ot((p 0o fdssk1 rm*:+feexw;;anding wave driven at a frequensp:p(erty;w10*ed+ yo;rsf 9 kofmx ( cy of 480 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 standilr-i q0eog( ox927(ig: pkvs(ao u ia l3q6hh5ng transverse wave pattern containing 3 5 (67qoi9svxlu3k2(0 alq:r-geo h(ipo a higloops. 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 app pguf ;r 8iwsn:,c/( tension of 20 N. What should its length be if its fundamental resonance frequency is 22 ( fu rgs;nw/:8c,pipp0 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m:dm1x;9xn xbov0d ,vj and length 0.600 m when o9j:v mb dvx1n, ;xdx0it is subjected to tension of 50.0 N.

A string of length 2.6wh 8efg tijf.ke ,uk6vn; k0.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing;egvf.kufk k 0n 8i,6 t.hjw6e 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.