The time for one cycle of a periodic pr6 g kb+e.,gexctlr0rc-new8 65y8dpi1jsxi0ocess is called the

  For a periodic process, the number of cycles per 0z:j*na;a6k dnta:a t 3*rml cunit time is called the

  For vibrational motion, the maximum displacement5k/*o durm* v3w:f lxg 5t9: qf1ibxme from the equilibrium point is caxu k/o 5d*ef5vig m13q 9tf:xwrbl:m*lled the

  A mass on a spring undergoes SHM. When t dokqq, yikg 4.rb4;u/he mass is at its maximum displacement q4.g/uibk4 ;qo r ky,dfrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throughd38.gd isas k; the equilibrium position, its d ;8sd.gk as3iinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximumqa8 bopg:e 6d7 displacement from equilibrium, its instantaneous acc867ad g poeqb:eleration

  A mass is attached to a vertical spring and bobs up anke(jedc e1)3vd down between points A and B. Where is the mass located when its kineti1)dc(kve 3j eec energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b *bocs7f e;mg34r u0kfetween points A and B. Where is the mass located when its kinbuf 43e;r 0cfm*so 7kgetic energy is a maximum?

  A mass is attached to a vertical sa/-x,ldo e*k 7t kr)zxpring and bobs up and down between points A and B. Wa z)lek/td*r-xx 7k,ohere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up a xevz gz)4.)r )/ccpzqnd down between points A and B. Where is the mass located when its pot)c r.cxvz 4)/z)pqegzential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what jqv.5jd0*vf:kfp b h( vdj vp5 bh*.j :k(f0qfeffect on the system's mechanical energy?

  Doubling only the mass 8)a c,g+v yekdof a vibrating mass-and-spring system produces what effect on the system'sd)8v+ c, eaykg mechanical energy?

  Doubling only the spcp), h(zipf:vsx52cltr( ru 9ring constant of a vibrating mass-and-spring system produces what effect on the system's mechanici) :(hlpr2fs(u9 ,x rtzv5cp cal energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whereiz hdm)8 *ande -w4f.(bkf jdp2 pga3: is the per8z:.24hjbkwgdifaa(-) mfne*p pd3 diod the greatest?

  Increasing the spring consta xogiydhtyp, g4k.8ptsa:r8 a60e :z0nt k of a mass-and-spring system causes what kind of change in the resonant fgrs.,4e aapid: oz086ktx :y0tgp h8yrequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprin ea/oc w 7/,srgzsns:+g system causes what kind of change in the resonant frequency of the system? (Assume no change in so/az ng e, w:7/cs+rsthe system's spring constant k.)

  Increasing the amplituqxb2 18 zf ff3qir-,noif2zf+ de of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no ot ix2b8 qqf+on, ff z2i3rfzf1-her 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 lk,pdkfyn3 7-of length L. For this system, when undergo ,3p-lnkdyf7 king small oscillations

  When the mass of a simple pendulum is tripled, the time 1-i):cbm f9j5ksjpoq required for one complete q b5:ji kmo-)fp1sc9j vibration

  Both pendulum A and B are n ula*h h/ i3i.u81leg3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. Whhial/ hg83u *luei1.nat is the period of B?

  When the length of a simple pendulum is tripled, the time for ong2v; ic8+x osfe complete vibration increases by x2vo fcs+8gi;a factor of

  What happens to a simpxz) gv)a-dz3m24fjydih* q1kle pendulum's frequency if both its length and mass are increas f1ygvm) j )xq*adz-i3kzd2 4hed?

  Simple pendulum A swings back and forth at twice the frequency of simp w (61mqcvo4cjle pendulum B. Which statementqv c4m oc6jw1( is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is(zy 56akywx+b less than on Earth, the reson xaw5k6y(b yz+ant frequency of the pendulum will

  Curve A in Fig. 11-1 representsg4a.24fq fpzxk8 hu q5

  Curve B in Fig. 11-1 re9xpvw3 n3h/)dt7n+ ndj ccqd)presents

  Curve C in Fig. 11-1 representsii *:sjb5-ld10 k sukjwt*.ap

  For a forced vibration, the amplitude of vibr,t q 3jr7jps4pation is found to depend on the

  In a wave, the maximum displacement of poifjc9-a+qgc99vb (ofznts of the wave from equilibrium is called the wavjv9zfc c-og bq9+f9a (e's

  The distance between successive crests on a wave is called the wav bc.1clq,u. rlg878gbif(d lye's

  The number of crests of a wave passing a point per unit time iw+g3d h.cof*q s called the wave's *+ogwdh.cq3 f

  For a wave, the frequency tim0trt k)nst3 1.7qwb9dwtc/ises the wavelength is the wave's

  The frequency of a wave incre 0p :b hivt6:;c wa6um54kmp)9rkoom vases. What happens to the distance between successive crests if the sp k)65;btmc6pv o:9:4pavr ohkmwum0ieed remains constant?

  A wave moves on a string wijy3bxst (fw(ebc:9 z :ul .*esth wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with thjx( 3:b(eu.te*s9 cz lbw: ysfe same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lengtt l 2fiv+o *p3:ne5hmsh L, mass M, and tension T. A standing wave is set up. Which of the followingethmi: nv+*5flos32 p is true?

  A string of mass m and length L iad6f3 f,l5 6f nrvz hx3;u/bt)dzpct 4s 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 mas;d 3vn zhr635)lb/ ctpza4 xff,ftu d6s 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 a waa*re:yb p 9.bive in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, b yb*ra.ipe9: with no change in mass?

  A string of mass m and length L is under tension T. The speed of *(,wknb2f(hhhdhu (ya wave in the string is v. What will be th hwh hbf2 dk*((,yhn(ue speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverspunfed 2l8n9, e wave. As an S wave travels through the Earth, the rude 82nfl,9np elative motion between the S wave and the particles is

  In seismology, the P wae.ne0 q4 rk7n h*p5poxve is a longitudinal wave. As a P wave travels through the Earth, the 4e*ep p7xnrh0.5nq ok relative motion between the P wave and the particles is

  The intensity of a wa xo qca,x,g,ox4 dn0-,c jpwn9ve is

  A wave pulse traveling to the right 7ti6 1a7ut g1jnwa4pg g6q(xvalong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What unti6x171ggtgajv(6q awp4 7 is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes opx1nk*- dl8d)ji 6 xwppwq2* pass each other on a string, one is traveling toward the right and the other toward tqdwpp*1kjow xlp6xi-dn 2 *8)he left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on uy,pwr5z 6 c.i, ) raeqk89xwra 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 that they occupy the same region 6x)kq y89pe,rw a5 ui,. zcwrrof space at the same time

  Resonance in a system, such as a string fixed at both ends, occupj6dce zsu; b,9w)b( yrs when

  If one doubles the tensrc6.jnc- x0 ax sq(*wndb w:,qion in a violin string, the fundamental frequency of that string wi( 6cbqds-x:wn,r*.0cjx a qwnll increase by a factor of

  What is the spring constant or988rn7/x irbf r 7disf a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendisf n/97xr7 8ibrr8 rded from it?

  A mass is attached to a sprin(wdxvs4g ku m fj:o,0 lt5swg7v/df; 2g of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially sfldt gwv, ;xsu:v k5wm(sg/7fj0 2o4dtretched 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?

  A mass is attached to a sprinjm *-nw/uvtm zufo+/0 g 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 iov+jmu twm/ u/ 0z*n-fts 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 along a horizontal 5ll-(auex 2kho+zo,g , frictionless surface. The spring is initially streg ,o2ezuol +akxhl(5-tched 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 S2i;6 qwhsvl8 aHM. It goes through 10 complete oscillations in 5.0 s. What is thes 2h8wqla6v;i period?

  A mass vibrates back and forth from te.fy 9pry 0h*) jymqk9he 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 its9jer)yyf. *myp0hk9q equilibrium position?

  A 0.50-kg mass is attached to f06ma k p87grja spring of spring constant 20 N/m along a horizontal, f g6 afj7pkrm08rictionless surface. The object 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 ab;w0jci rzex-- 68no jmplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut czje6bn8 rix0j o --w;in half, and the system 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 cons7n;vyw;wn,eg x n,+hs tant 20 N/m along a horizontal, frictionless surface. The object oscilla g+x;nnye w;vwh7 ,sn,tes in simple harmonic motion 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 a spring of spring constant 20 jez2jkk;xev2dp2nah 7;7ae 9N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic moti ja227k;d pjzenaveh;e 29xk7 on 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 horizontyx,dg.92 0kc r ylesc7al spring of spring constant 50 N/m and set into simple harmonic motion with an amplitk90cys7.xy 2 lg ,credude 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 wjm8pt4 )/ wlespring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tt 8lep4 wjwm/)otal mechanical energy of this system?

  A mass vibrates back and forth from the m5;;x7b z xmfbfree end of an ideal spring of spring constant 20.;7bf mx5bzm;x0 N/m with 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 disyi*m jctwpo r di9z):/ jf63,l6)rs,k toyio*placed 10 cm from its equilibrium position and released.i9:j)*oy63rrt o 6l zoc ifmtk,dy)w j/psi *, 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 sp0caqe(h ; a q6lfxmm5n7*w0joring of spring constant 10 N/m. The object is fc n00awmexqmo(5*h 67aj;lq displaced 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 constanm ebltm4w2e jl5-+x8ut 10 N/m. The object is displacexm42wem- u+t5elbj 8ld 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 spruu;a4bivp0vqe fm- (0 cm sd9.ing of spring constant 18 N/m, displaced slightly from its equilibrium position, and releasem0s(4a0veqb vip c; u -9fdm.ud. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequtmzn-h j4y 7pjs4)3xx ency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum tpxxz)s7mh4 n3j- y4jvelocity attained by the mass?

  Two masses, A and B, are attached to different springs. u-6)8)pn + .gyyudc1ngu+f(svskzuq Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibky+pu uyu+szdg ) u8 fqcgvn (-.1sn)6rates 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 + l)rl/85jusjv kp+ lvon 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 and released from rest. Calculate the period of oscill+lpl l +juj5 r8vs)k/vation.

  A 0.30-kg mass is suspended on a spr f.1y 24cakqmck0 /j payx-ym,ing. In equilibrium 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. Calculate the total energymy-20xj a. ycyc/f4a,km 1pkq of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesvxzug3 058djubjz q:; the sprijuzv:d z5xgb 0uj3 ;8qng 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 follow.kdvss b6 z1b ;u 3. zp7b7htxufsd2b)ing position versus time equation: s2z.sb)hdfszb 7p 7uuxkbt1d .v;6 3b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic bl)2z )c.cf-5na,f0i4vu .jq ag awkkmotion obeys the following position versus time equation c)ck vf-a4baj.wq)i.lau fz,2kg05 n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus hg24v 7so7kztiq2oq2 jdm4/u time equd ivk4q uqt74zg7oo m2hsj22/ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonicetv x+3cirj24stv 0ikkm/8u7 motion according to the u2r 83jetxk k+i0s7vc/ tm4iv 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 fom (pt4;r+w mdbrce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass ir mm+b4;w(dt ps 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) What 0ix 6hwx2o7x aare its frequency and periodia hx w026x7ox on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its hfw+w8jw4 d-s + n)vtxperiod on Earth?

  A pendulum has a period of 2.0 bv07uf9x. oxw s on Earth. What is its length?

  The pendulum of a grandfather clock is 1kvb2 h8x)mq 01si* ex t1s.yar hd:td(lr+a p9.0 m long. What is its period on the Earth.syrp:am h1b 0 xk (18siatqh+*del9 vr2)xtd?

  The pendulum of a grandfather clock is 1.0 m long.ucee53nyi qv / d1wqn/ 9+j43ifnb/qk What is its period on the Moon where the a/9 iynkbw d5/e+nq4 iv1qfun3 j3q/eccceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attacq -9 akl.eydttsuo.6*hed 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. What frequency would have resulted if a 0.50-kg mass (samqotsly.. et9k-au*6 d e diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular m.s 9,1t t-hv dws0vj*gxnzn 6displacement of 8.0e. It oscillates with ,xz .gtvt0s9mdsn 1n v6hw-*ja 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.1b7/myx cx 6hr The frequency of the wave is 120 Hz. What is the a7x6/ bm c1yhxrmplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thecs3. c /y7sobmawrq* 2 wave is 120 Hzcr 2q.mcs7o3s*a wy/ b. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. 9+* zc e3xvmd8epww4i The frequency of the wave is 120 +z 4pme w8ewcx vd*93iHz. What is the wave speed?

  What is the frequency of a wave whic xk/ p+*o)ltt fue7:cbb)w(frh has a period of 6.00 ms?

  What is the period of a wave with a frequency o.4y9 )pp8t3ix tnad fh. saio lm99e7mf 1500 Hz?

  What is the wave speed if a wave has a frequency of j/ )auv/l s+5+n4xhhuwli,m n12 Hz and a wavelength of 3.0 m? aunlus /+ /vj4nixl5+hm w),h

  What is the velocity orl;lj6k q1(n 2n+jvjq f a wave that has a wavelength of 3.0 m and a frequency of 12 H ljkn6+ v 1nqr;qjl(j2z?

  What is the frequency 8a ;+bo-m s;3qzcvl hoof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/mjo j)p9 ye* ic4+*hff(1lon ne is under a tension of 1350 N. What is the wave 1 ofnjej )+yih**p4 eo nc(fl9speed?

  A string of linear density 6.0 g/m is under a ten seo:q:0*dqed sion of 180 N. What is the velocity of propagatio qeq0* s:edod:n of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a, pdl ;he:0qr x8mxzo( 500 m long wire whose total zpo( xh,8e ;rq0xl :dmmass 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 trap 6dbcc:.fao4nsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which64pao fb dc.:c one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 5sfbmi sem+/x-; 1 iwi900 Hz, which one of the following frequencies ca ix;ei/ +wsf-bsmi1 m9n set the string into resonant vibration?

  A stretched string is observed e3w5:e *ejqtmto have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with m 5w*qe3e :jtefive equal segments?

  A string, fixed at both ends, vibrate5-u6 ad/mqcd bj)u: tss at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to containtdms-cadbq u5:u) /6j 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should tu 74j(y9ehva its length be if its fundamental resonanya9tevj(7 h4 uce frequency is 220 Hz?

  Find the first three harmonics of a s 8)4s*fmd88jvlpi5c vumy2n pk7*d mb tring of linear mass density 2.00 g/m and lenlvdsk8b v n72pf8m*c4)8 dmium5p* yjgth 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 tr( * zz,bds9vphe string vibrates at a frequency of 85 Hz, a standing wap( *dz vb,9zsrve 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.