The time for one cycls/w6vkebul ltno s6.or-4u7 3e of a periodic process is called the

  For a periodic process, the number of cycles per uni3xr(y u7al8-we+c : m ygpruk4t time is called the

  For vibrational motion, the maximum displacement from the equilibrium phgsp0o ozwc9 st,3)ngth7 z/;oint is callesh3;zwhoc g7,npg9 )sozt 0t/d the

  A mass on a spring undergoes SHM. When the mass is at its maxib++.1ka d4vf( b(noghf vh(j a zhyg15mum displacement from equih (4bay ( vdn(k5 ov1jagh+fhbgf 1z+.librium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes (k5 g,vtrjwkqf8bipo7g5bj -1jpc 3 ;through the equilibrium position, its instantaneou-jiq( 5t7g8 bj3pfp5cgwkkv;j bo r,1s velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fq+t,5lfpji5wg x)mqkus. my3s e: k /0rom equyku gtlim5j5.x,s :0f/me3qkpw +) sqilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and az4vcx;zx3i -af 8k6q down between points A and B. Where is 3ifxxa4cqv z-a 86;zkthe mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee yfv7*ifklh g7l)ny u((oe,g )n points A and fli)7,gy(e* 7ov )f ylhn (kugB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a verticazf(b;pal (;go ,b tgr46a:d aj qfki*;l spring and bobs up and down between points A and B. Where is the mass located when ;zl4obj p gg d (biqta ar:6;a,(;*fkfits potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down be+l4+2 t ycebtojta(t/tween points A and B. ec b+(tt aoj/y+2tt 4l Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude + b-a:os4hr2)2fa8;v(p nai jnrgouuof a vibrating mass-and-spring system produces what e 2h+s4;afnu(pvba)n iau :- oro jr82gffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spr5req2;age8g er)rof(x k*a ) )nb1yewing system produces what effecar;qe* ganbo 8 e2g )w(erf )k1xr)e5yt on the system's mechanical energy?

  Doubling only the spring constant of a vr yde3 i+f+e/egv bc g*z/rcwz9v4/) gibrating mass-and-spring system produces what effect on the /ezg rg9cv/rzv bedc++4fegw)yi*/ 3system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and of5:ibz (8cpz-vbpze *n the Moon. Where is the period the greatest? z5:8bz-b(zcvfi*pe p

  Increasing the spring co*j2m +fyekkqw p4e c-+:9qiwe nstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assuwq*i ye29q-f+kc+e w mpk4ej :me no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wt8t6 :frfqwnxs;e y 2+hat kind of change in the resonant frequency of the system? (Assume wx+q2ftts e8n:fr; 6yno change in the system's spring constant k.)

  Increasing the amplitudenjen)(s qn,r;01 ajmh of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes sh e(0annnrqj;)m ,j1 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 we //qq;zwpsk4z.q2 h to a weightless string of length L. For this system, when undergzqqw s ;w24//k.e hzpqoing small oscillations

  When the mass of a simp rp.km ovw)pf,a.lck s )e-/3yle pendulum is tripled, the time required for one complete vibrationve.w)p/cro p m l,s).k-f3yka

  Both pendulum A and B are 3.0 m long. The pee2oy- 8ibone6 0 fsf 0f1omh;qriod of A is T. Pendulum A is twice as heavy as pendulum B. What is the perioyho-2;0o qe0f6im fofne bs18d of B?

  When the length of a simple pendulum is tripled, the time for one complete 05cx 72f+bqk,zfp qk ,avvtplq8.h 8wvibration incre0+8q qch.f,k zva5p8w x2p 7tl fkb,qvases by a factor of

  What happens to a simple pendulum's frequency if both its n 5-vres-rf f+,) sehrlength and mass are increas snr--ffh eres ,)5+vred?

  Simple pendulum A swings back and forth at t2bouh/ )pte pceen(-6pi o;d *wice the frequency of simple pendulup e/*;t icndope2eu-poh 6) (bm B. Which statement is correct?

  If you take a given pendulum ce ,mv -w32-ys6yn t;mmu*mrqto the Moon, where the acceleration of gravity is less than on Earth, thentmmyv *s-2e y3;m, ur6qw-cm resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rf)3rz vqyv1;s,lk5fv g(a)pi,m n+sv epresents

  Curve B in Fig. 11-1 repwfn59go.p5mky/*n-7v agf psresents

  Curve C in Fig. 11-1vola,b1ep xq4/ ()yshv v s*ou8p-q)g represents

  For a forced vibration, the amplitude of vibratiokd (m7;,) 0cqzs:zh8lnnlrbe n is found to depend on the

  In a wave, the maximum displacement of po,469a. ifss0n7 ydz j hy5zcvt*llk(mints of the wave from equilibrium is called the wa.v5cl0y4h,6ydjiltzn9 sm (sfa*zk7ve's

  The distance between successmdek 3 lsx.71aive crests on a wave is called the wave's

  The number of crests of agpdokh -jr()( wave passing a point per unit time is called the wave' )(kdogprh-j(s

  For a wave, the frequency times the +p vjg(k6geel7k.7gjwavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwe8hsd-j:6 p ocrr1udt; 7xb.roen successive cr6 :d b.8jdp;ur xhot7rrosc1 -ests if the speed remains constant?

  A wave moves on a stringh e:( n82*ip ton3(llt -kd(gtol+fuu with wavelength l and frequency f. A second wave on the same string has wavelength 2l an l:2 tenio+pdl8l( t n3-(u gfuhk(*otd 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, anpd..n; /dnt.l dd dz4lpewf8/ d tension T. A standing wave is set up. Whp 48del./ztd pdnf wln.;/.d dich of the following is true?

  A string of mass m and length L is 0xd6zw1 pa 6jg*unu 4jpt68tvunder 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 mass of the string is increased to 2m, with no chat vwuux4gz16d*na 0tpj668 pjnge in length?

  A string of mass m and length L is under lf6zzl5b1 il x;kv 7 ;fzu:ew1tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no 6u:iel blf;1;zl1fzzvw 7x5k change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in the(o. mtlhn.ljunm;/ 6 dxjuq -- string is v. What w;uh x--qmdjj(llm./ . ot unn6ill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse se zypi,i0(fgdfj , 78wave. As an S wave travels through the Earth, the relative motion between the S wave and the if 7dz8j(,ep yi0gs,fparticles is

  In seismology, the P wave is 07g gq2 b*x)ohx ieg r,-u4fywa longitudinal wave. As a P wave travels through the Earth, the relative motion between the Pu*g4 hr0 xbf2 gy,)wx-ioe7 gq wave and the particles is

  The intensity of a wave isfw /h9oh3.fa v

  A wave pulse traveling to the right along a thin cord reaches ad5g ; fu/* d24h+tuc.pzb+r mk rlt4mm discontinuity where the rope becomes thicker and heavier. What is the orientat/2p+k5* mm.lt4uhrd;dz4+ ut gmcbfrion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, o1u ptgg m(s,ec6 .z0mhne is traveling toward the right and the other tow.ugt(h,0 em6mc 1pgszard the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each otheroo mai cw100 :)nmkl9f on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point thac0nk oi m01lamof) :9wt they occupy the same region of space at the same time

  Resonance in a system, such as awq9 sm5i:o3j h string fixed at both ends, occurs when

  If one doubles the tension in a violin strwfr 77 ;au3v -v5i:evdkk8w gring, the fundamental frequency of that string will increase by 3u 7- f;kr:vvk7ae i8vwrwgd5a factor of

  What is the spring constant of a spring that stretches z4htsv ;-nt d+2.00 cm when a mass of 0.600 kg ish ;+-vntzd4ts suspended from it?

  A mass is attached t e7gw-*dja-r zo a spring 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 its equilibrijadr ew*--7gzum position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizon i q,,6au0arkutal, 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 posiaq6 kri0uua,, tion when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring 9ap xepbcz yvm+; xr8 3j-;wm6constant 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 9rzpabwjme83c;; -6py m+vxxequilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio,ej7 f(xrl cjryi1- :nns in 5.0 s. Wha7fle1 r-c:xr jjyin(,t is the period?

  A mass vibrates back and forth from the free end ftgx;75c,8hua 0qnh dax 7wnsn )oy3+ of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the k;cnx yh aoax7 +8tw,5 n3sung0h)f7 qdinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached tl h g89klvte8-oj0q q(o 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. Whatk q8eqvl8 - (gtoh0jl9 is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 83t3 s7i gi1f t*:wikjq.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 i:i qtjwsfi1* g3it73k s the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 Nx :k) 5-d:co*psvumq6bw1 jss/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motjkwm5vs*qdu:o:-s 6sp c x1)b ion 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 mess7y zx-:m,a spring of spring constant 20 N/m along a horizontal, z7y mms -s,:xefrictionless 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 *u5 daanaofz ck 2 c(y+l7ft3lvw-,: jof a horizontal spring of spring constant 50 N/m and set into:(5yu fa2ctd - 7 naj*f vz,waok3cll+ 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 aqqc9vz94f r-xt 0yv;qug 7b3r horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mecha;-uzqv fq0tcg9xv439qr y7rb nical energy of this system?

  A mass vibrates back and forth from the free end o,(k2iamtinz.ve 7 g( af an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of m((kne7i 2vzta., aigthis vibrating mass?

  The mass of a mass-and-sprin*nek6m/ zcto cvh5)bok3r fo03nf*0 v g system is displaced 10 cm from its equilibrium position and released.*on nr b ce0fc6fkko 0vhv *5/m3to3z) 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 attached to a spring of spring 589w.a,f)xeu jvj:4 bf rkw zvconstant 10 N/m. The object is displaced b4x .jwvar5:ezwfk,) v 8fju 9by
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 *o5 i3 h8fd*jr;6lc d p7xsfkkh06j mespring constant 10 N/m. The object is df**x7i fpjkjodml60shc5 3;e 8rkh 6 displaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hungl;e +l4cubuv2v0ax8 kw9g r1y from a spring of spring constant 18 N/m, displaced slightly bkvl ya12reuw0vxu ;c8l94+g from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofeyya;gg b2c b1g4j:y-ia -zkor,z. epb :,5wy 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and re5j4gyiy ,wygzkpb b, cya. -2ebo:-1zg;ra:eleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mb.vp*2 xeuyg)k5ikdk8.bup; m7 y,x r ass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hruiup mp.)dxvkb 5bge. xyy7k*8k;2,z and mass B vibrates with amplitude of 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. In equilibrium the mass stretl7n iv cc9e5i:q2q f6bches the spring 2.0 cm downward. The mass is theqcfi:ie 92cln5v6q7b n pulled 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 equilibrium the r+tr vhsv6; 6zmass stretches the sprinrzrs +v66tvh ;g 2.0 cm downward. The mass is then pulled an additional 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.mdp3sez8iunlr-3d74lve t *-en*x- q In equilibrium the mass stretches the spring 2.0 cm downward. The mass is thente px-7q--d 4 murdn3e*8elvszn3* li pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmoajfb ;j qm42t-nic motion obeys the following position versus time equationt ba-;4jfm j2q:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mo8bh-di*); wik5y zj bgtion obeys the following position versus time equatki8bg hj* -bd5)zi yw;ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motioj +smq+r9-pxttz zc*7n obeys the following position versus time equatioqtmz z *-s+7pt9 cjrx+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 spring executes simple harmv/if ci0q +sq*onic motion accord0c+*fis qq/vi ing 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 oscillatey6 h)vyvdr35us on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0)yv 65vr uh3yd 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.sgrbfmh252 )nx8a;u/ *azifh f fia,50 s. (a) What are its frequency and perg8fafn2f ahu5,)2/asi rf m5x *;zihbiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What 66dxztea;t,z kv7d 2(,cwctsis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is it4anfk agj851aulb/ 8 xs length?

  The pendulum of a grandfat tx v49i4o xr-6r;xkz bqnz0t,her clock is 1.0 m long. What is its period on the Eak6ziv, rtbz to0 x9rnxx;-4 4qrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its per*ardnhtd *dz):z,(u h ffn;6jiod on the Moon where the acceleration due to gravity is onz*n (d;fatd:zn* ,udrjhh f)6ly $1.7 \; m/s^2$?

  A simple pendulum consz2a 56m+:zkrq trw6,iqlj1 ye ists of a 0.25-kg spherical mass attached to a massless string. Wh6e5+zj qia:z,t2qkyw 6 rm1 lren 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 frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting. 3pqc4izh 5pv of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of5zv4 3.pihq pc 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 frequency of 3wlocj 0yi)q;dq j .p*hsw7.i6q1s y vthe wave is 120 Hz. What is theo.w*ql60p;si)37hsd j1y qwjivc.q y amplitude?

  Figure 11-2 is a "snapshot" of a wave i83b qche5 xv*e:zry /p7;upbat a given time. The frequency of the wave is 120 Hz. What is th;e*cbi7pu: x8 /3 ry ev5bpzhqe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre js+a2ux c)n;dcn)8 q 4hrxhn*quency of the wavsqnn 8d)chnrh* xx4;ajc+)u2e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.+cq zga603rl p00 ms?

  What is the period of a wau :39xslk2 txl g+ub4ive with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency.xb2bt2t)yj d7 19pbtj: fbkx of 12 Hz and a wavelength of 3.0 t7d2yb bj 91p)kb.ftxjbx 2:tm?

  What is the velocity of a wa/c4p7vumavyb9;u : d)o s+ zexve that has a wavelength of 3.0 m and a frequency of 1mca:obeu v9v+;/z7 y pxdsu4) 2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s? t d. *l(1i8nu;iannnm /)bjtv

  A piano string of linear/ g((ehf02jgd +n +blhap oh:h mass density 0.0050 kg/m is under a tension of 1350 N. Whatp:/+( ghnh(bl0+o 2 ehjgfa dh is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What zq6a 5qvff6f *is the velocity of propagation of transverse waves along the str56*zqf fa q6vfing?

A wave whose wavelength is 0.500 m is trppq (:w72eed)s 7k swwaveling down a 500 m long wire whose total 7p2(q ww:pweekdss)7 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 transverse wave on a 2.0-m long striv f2 whu97kr,ing fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?kw2 , irf9vu7h

  If a guitar string has a fundam sc y()4estga7ental frequency of 500 Hz, which one of the following frequencies can set the str)etycgs74 s(a ing into resonant vibration?

  A stretched string is observed to have four equal segments in r1( lcdvtf *w6gpk(69of* x d6vcry7ra standing wave driven at a frequency vk 6(py grv69r6xdt*7o1f ( cwr* dlfcof 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fr54e8d 8emhsz xequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if thex8e54m zd hs8e standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a teen-n;y hkytgu+,1 net8z 57 f6 wonxw+nsion of 20 N. What should its length be if its fundamental resonance frequency iskt;y 6e+8w5+nhunw7n t ,-gynezxo 1f 220 Hz?

  Find the first three harmonics of a string of linear mflwb(vaum;f .zgd 441ass density 2.00 g/m and lengt1agmzv(b;f.w ul fd 44h 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 toiu /1zso1r3,m 9n*erwgvv:eb 9 db05 dh q)sshe string vibrates at a frequency of 8ds9b)5u/ 1i,mdbe0rs w*egz 9hv:o snrovq31 5 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.