The time for one cycle of a periodrtpsgzys18w3:k 2 yzxmsr)1+ic process is called the

  For a periodic process, the number of cycles per unit time is called5c my n*5nog8mpg47cht l 5h:e the

  For vibrational motion, theca 592t mzkr+h maximum displacement from the equilibrium point is called tm+2 9 cra5htzkhe

  A mass on a spring undergoes yct6e5:7s*abp5 upsg SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous veloccts 7:5*ae y5bpsgu6pity

  A mass on a spring undergoes SHM. When the mass passes throv8 zztjfkm: 54-p f sxw9.r/vhugh the equilibrium positvxj k5:rf49 t-whv/z. s pmfz8ion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mase ( hcst7w:3q1k(o tlss is at maximum displacement from equilibrium, its instan: hcelts(qk7(os tw 31taneous acceleration

  A mass is attached to a vertical sp-, ja.*9xctr ni;*zy)o dhyw emxn4)cring and bobs up and down between points A andat-y9*zn;4nrcic,wody) h .*)e x mjx B. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do s.nl66*zzhn.f pmzb;wn between points A and B. Where is the mass located when its kinetic energy is a ..nnp ;zf*mbszh66 lzmaximum?

  A mass is attached to a vertical spring and bobs up and66 alt.3q)2gdvap ;xvr9rl vj down between points A and B. Where is the mass located when its po66q r.3ltj d;pvr9la) vgxa2vtential energy is a minimum?

  A mass is attached to a vertical spring and 6 u9.ekl 4.actk/qaf4 tgxu5wbobs up and down between points A and B. W9t5au w6fega x4uk/.k t 4.lqchere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating massy38cp+n3vlhtxoy : q/-and-spring system produces what eff8n/l3 qp c3:xvy+hoytect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces ov7i zht4cx+)):fsnswhat effect on the system's mechv oczi)nf+x: ss)4th7 anical energy?

  Doubling only the spring constant of a vibratingtkf:h9ckzf :i uxw i,wl ;cc))rt) 07m mass-and-spring system produces what ew it7 9hkzcm),if))r:;lc 0ux t:kcw fffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, botdl tpeinm; lxx3(f5j bv1yv(9b11b .7k-fzcbh on Earth and on the Moon. Where is the pel xp l-ibvj1y x;7f d9(3z cf.bmt1bk15(bnveriod the greatest?

  Increasing the spring constant k of a mass-and-spring systemqfg c h 39f6xcrumj0dq 0sc),. causes what kind of change in the resonant frequenc h qfcjr9c,uqm)xs0d 60c3.g fy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wg)liun:cix00ra. - kfhat kind of change in the resonant frequency of the system? (Assume no chiln ia.)-:uxfk0 g0rc ange in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system ca67yyv( kod ,lpp,0kdruses what kind of change in the resonant frequency of the system? (Assume no other changes in the sysvd0 o6l y dprykpk7,(,tem.)

  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 macvz7 k+;h3j adgnl6 .i8lw +bzss M attached to a weightless string of length L. For this system, when undergoing small oscilla i3jz6vw;ca.h7k l++zlg8n bdtions

  When the mass of a simple pendulum is triplez,: )rn3:yi qy9civ igd, the time required for one complete vibrationc3:qr y9zi) :,gy ivin

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend b+q seqri(: o+*sfbg1ulum A is twice as heavy as pendulum B. ibsgqo1( r*b+qs +f:e What is the period of B?

  When the length of a simple pendulum is tripled, the time fl 8 c*q6+1znhx4x2t6jbtj ge jb:m w6mor one complete vibration increases6bej gtb wx4l2c nx1 hm+6t*j:jm68qz by a factor of

  What happens to a simple pendul3 egs)ru5/p/ v 6 r(x*j/ jcxzmgrd,olum's frequency if both its length and mass are increasedpr so r6jd)cev*ul(zrx , / gmj5/g/3x?

  Simple pendulum A swings back and forth at twice the frequencyi:f 7/j hl+z n(purcm; of simple pendulum B. Which jiu:zl7+nhrp; /(m cfstatement is correct?

  If you take a given pendulum to the Moon, where the accelerao2kasixi. lit:i. (8pj: c*oztion of gravity is less to:ipk.2 ojz( ii*.:xlia8 c tshan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1x 2uvofoh, 3sai8ut;4 represents

  Curve B in Fig. 11-1 repr e2rh*.x; .cuhtw(zipesents

  Curve C in Fig. 11-1k.+6rbwgehp 9ut c25gkd)fc+ represents

  For a forced vibration, the amplitude of vibration is fol; 0(y psc9o(9rlg7w6u uhq bpund to depend on the

  In a wave, the maximum displacement of poid)cr3(g dtikr2l 8me/ nts of the wave from equilibrium is callgecld8)i/k dmt r 3r(2ed the wave's

  The distance between succfdf ,b*-7,t :mak jn xn0nzs (-dbsr+oessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is c m,:7 a.aw6xgpuiy5czalled the wave'.zi5ca7,mya wug px6:s

  For a wave, the frequency timeh3d 57mmc;u hgs the wavelength is the wave's

  The frequency of a wave increases. What happens to mb n:)5*ikn-j j8 rzmqthe distance between successive crests if the speed remains co)qr:nmzj5 knim *-jb8nstant?

  A wave moves on a string with wavelength l and frequency f. A second wave on i tm+k cjbtsg:7ghqxp5*. 1p,the same string has wavelength 2l and travels with the same velocity. What is :kstt+g.*pc bjh7pq5gm, x1i the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tenmr dn -/g+j7jzsion T. A standing wav7 jd rm/zn-g+je is set up. Which of the following is true?

  A string of mass m and length L is s;3azbt8xyo5under tension T. The speed of a wave in the string i;t3 yazs85obxs v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m anl/rnchmj7 q:* d 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 string if7n j/ql *mrh:c the length is increased to 2L, with no change in mass?

  A string of mass m and length L is unpbuh5-(:*x i 1c4(uy mqcmkf bder tension T. The speed of a wave in the string is v.ixcu: 1bh( *( k5bmyfc mp-qu4 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;s1po,( lkkb n an S wave travels through the Earth, the relative motion between the S wave and the parto1 l; ns,(kpkbicles is

  In seismology, the P wave is a lozoy. t, bcq-b2ngitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavt.q2,bbcyoz - e and the particles is

  The intensity of a wave pxa4t* u hh o2t+:w,s ;q/qmfhis

  A wave pulse traveling to the right along a thin cord reach - n9.qnnh0kkopp:44 zjcz:pqes a discontinuity where the rope becomes thicker and hea4ocpz0.k np : k:-h9np4 jnqzqvier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ampl5 :;d*q*u) pbxt6f vbffpti- vitudes pass each other on a string, one is traveling toward the right and the othe*t dxq : );ffiu65p-tbfpv*b vr 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 travlzb/z m dro++7eling toward the right has a posz ml+brzd7 +/oitive amplitude, while the one traveling toward 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 string fixed at both ends, occurs whengwrlar vquc6*0( w6m7

  If one doubles the tension in a violin string, theep4yrk 2crq2h1nfw+qcz3u ./pk +yc 0 fundamental frequency of that string will increase byrpcq4kyk u+1.w3 cc+f2y/z 0pr2h eqn a factor of

  What is the spring constant of a spring that stretnu ;pjnky*2-mmv;p6u+.sfy xches 2.00 cm when a mass of 0.600 kg is suspe ujmynsyf.2-pm+ up*;k xnv6;nded from it?

  A mass is attached to a spring of spring kh0i /dsk 8)xyconstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by ak/si)h8 0xyd k 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?

  A mass is attached to a spring of pnxkk,1o) 1b1)qevis 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 its eq,)ek kqx )bspvi11n1o uilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a s6 z vbiife;lm8bao o(9l-9t h6pring 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 v ;ifam(-8il z6hobetbo69 l9s 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 os 1mq+z(*y yleccillations in 5.0 s. What is the perimy1 *ey(+lqczod?

  A mass vibrates back and forth from the free end of an ideal sp z 2,/ 8c4asnqshk6ihrring 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 position?h /s i n68zr4sk2qc,ha

  A 0.50-kg mass is attached to a spring of spring7b;l8 tib3f ro 8ok7sk constant 20 N/m along a horizontal, frictionless surface. The objeciof7 b;r8k ob 38tks7lt oscillates 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 amplitude of 4 cm. extq4hh)/f:n The energy is 8.0 J at this time. The mass is cut in half, and the )xh:/qh4fe tnsystem is again set 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 constan mod2v)yqec 1yf8*2htt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of q2ecvt2 mh fd)yy*1o81.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constqc0mk yk av(d8osd7tf3p6; s/ant 20 N/m along a horizontdqssdomy8(0p 7k /36cf atv; kal, frictionless 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 of sn ,u6wy--mqgr-l3ixym 2 tgf9pring constant 50 N/m and set into simple harmonic motion with an amplitude of tyxn 9fmugml2r- yq6--3g, wi0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horiza r4+0 i(l(sdszi6yf fontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanica (0zd lfri (y+ass64ifl energy of this system?

  A mass vibrates back an p:d9a r,jv+tcd forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplituddr: ,+jt av9cpe of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system isgr .g4nq lkmvow1kb/o375t z6 displaced 10 cm from its equilibrium pos/4n6 zokm r15k.bvoltgqw37gition and released. A frequency 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 attachc(if rlv ex b(2f.j*c7ufgy: 3ed to a spring of spring constant 10 N/m. The object is displaced bc(g*:.fclf7y f2xuv(r ie3bjy
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to cw7lmogu;v coi4; )49tp)o8 su. loaha spring of spring constant 10 N/m. The object is displaced lcsg)o;;)4m4i pc h ootl.v8uwu9 o a7by
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 oqr5pxb50bjjh2c)( x* bk 6ak 07d grszf spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the freque s7rjr6 z2bdjk 05pbg h5xbx(kcq*0)ancy of its vibration?

  A mass is attached to gnw;y 7s-v,3a koupk-. faoi8a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What y-3-gk 7siaw o;okn.v ,apu8fis the maximum velocity attained by the mass?

  Two masses, A and B, are at;2 b 4jr+ly97zctlthb tached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude 4lt29zb bh jr+;ct y7lof 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 1kt z) wkcij*9a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 )1j*c zi9kk wtcm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equil(j4o0r ozo9 ais 2h+sbibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculba oj0o9 ih or42(sz+sate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches381tyho+ d heu avn+y) the spring av )+nh8y1o3dy ueht+ 2.0 cm downward. The mass is 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 following positi2ykm xvl:wf az:w809ron versus time equat9 0azkw8wlxr:vy m2f: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 vers 2urp2s-e4 woius time equatis2pow-2 u 4erion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vpk:uo ;hk+ a6yersus time equatiooyk:+kpa6h ;u n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprin 8o;yfg (rbnn;at6b 79snb w)mg executes simple harmonic motion accordsbf;)n9(7a6 btg wbny rmno ;8ing to the 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 oscillates ou4.6fcvp9 xmt n a horizontal, frictionless track. At t= 0, the mass is releac.m f64px tv9used 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. (a7arqh/eg h2 ;s) What are its frequency and peri7esqh;2 /hrgaod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its h 4gy-muxi8s (period on Earth?

  A pendulum has a period of 2.0 s on Earth;w i9bx6ft;k k. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its peria/ hxodgu)1 1bbb9: 7n snkri6od on the Earn b7 u1:oh /d19)nsxrbgi6abkth?

  The pendulum of a grandfather clock is 1.0 m long. What is v;8yw,3ngp+niv 2r qbits period on the Moon where the acceleration due n , rwqib8vv2nyp+;3 gto gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass ah x ap10s(t,kqttached 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. Wpkxa,( 1qh0 tshat frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consi i8h( 67vbad7ukg tksu-55 tzhsting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.0d5ztkbh8 -u(sukaiv5 7t g76h0 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 frequency of the x8bc,x p kz*z.wave is 120 Hz. What is the amplitude?8zb,x.c p *xzk

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencyr:ypan;l o72+ngr; xy of the wave is 120o+;7an : rynlp;gx2yr Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. e411sr tetu:m The frequency of the wave is m1t e:u1ert s4120 Hz. What is the wave speed?

  What is the frequency of a wave which has a qg */vju 9xoc.period of 6.00 ms?

  What is the period of a wav5t;0 r ,b fzcnb:zj-uve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wfo itpxl o+*eyv:e :-8avelength of 3.0 m?fo::*v -+ey ip8 xoetl

  What is the velocity of a wave that has.d k,hl bgghk ta;l9j030x6iz a wavelength of 3.0 m and a frequency of 12xlgib ,t0hz.; kl 9kh3a6gdj0 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?b3m/bxu2g+j.q x nlm;

  A piano string of linear mass density 0.0050 kgskw04((a jyzk:kcx:kd 9 ex.8(tlrxd /m is under a tension of 1350 N. W8ek:c4d9(r wjz(:a(dkkx ys 0x.xltk hat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the ccouulq;jb.e6 7s1d6q t /zx6velocity of propagation of transversczs1l6ud.ue;xb c o qqj7 6t/6e waves along the string?

A wave whose wavelength is 0.51qg+v 16o rv*a6t aapx00 m is traveling down a 500 m long wire whose total ma6a po1taxvq grv+a6 *1ss 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 on a 2.0-m losiow,a *x,)kfng string fixed at both ends is 200 m/s. Which one of the following is not a rex ,o fsaikw),*sonant frequency of this string?

  If a guitar string has a fundamental fjpl b;o xvd3sw)/ (yo4requency of 500 Hz, which one of the following frequencies can set the string iylvwoo 3;(4p sd)b/xj nto resonant vibration?

  A stretched string is observed to have fpqq ;a05x6vo dour equal segments in a standing wave driven at a frqov5dax;p 0 6qequency 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 fr.r0krh y*.h2s licw-u-sw)jua/g0l b equency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is need0h a. slh 0sckr-yj-/r* wbwg)lui2 u.ed 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 s.5hiqtn5x(dpx+i+d x hould its length be if its fundamental resonance frequen dqi+55dn.xh+x(pt xicy is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 ffu(/hv l1 u6mg/m and length 0.600 m when it is subjected f /(muh6uvf l1to tension of 50.0 N.

A string of length 2.5 m is fg 7on 0emi(+mlixed at both ends. When the string vibrates at a frequency of 85 Hz, a standiol +me7ng(m 0ing 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.