The time for one cycle of a periodi*kerlm axo-gxs /, .,oc process is called the

  For a periodic process, the number of cycles per unit time is calledl56 x8x tcryqw+ u;8op the

  For vibrational motion, the maximwi6)nlc-(f4g ydl7 crum displacement from the equilibrium point is calfdrl4 6c(- ligcny7w)led the

  A mass on a spring undergoes SHM. When the mass is at its maximumu 0g8s5qyopcqu3y 5lu-b7x+e displacement from equilie0luysgbc qouxu3 +p5 8- 57yqbrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriumgf83ixo9d1a rp31y g l position, its instantanearif p1 g3xl813dgyo9ous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemej x/9 n*5yxbr1 k8uoiant from equilibrium, its instantaneous acceleration ukbi 9ox* r5x8na1j/y

  A mass is attached to a vertical spring and bobs up and downsiz l-k/l:3pg; aio0/ p8gdxtz0:xy s between points A and B. Where is the mass lo3 xkdz ss0ix-;agg0t po8/pyzl:/ li:cated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring andfim 5:fkc ir.+ bobs up and down between points A and B. Where isk 5cfirfim :+. the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweenr6wxk8( p9wdh( a 2nle points A and B. Where is the mass located when its potential energy is aa 2(hpedlxk96 rw8nw( minimum?

  A mass is attached to a vertical ( rs m zn clddm3a8.)49w*xvxdspring and bobs up and down between points A and B. Where is the mass located when its potential energyc8d*)m( smval9rw dxd3. xz n4 is a maximum?

  Doubling only the amplitude of a vibrati j;nnl;oea*y+ ng mass-and-spring system produces what effect on the;jnna +o;*e yl system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systeup +( qnx7o4nt:vux6mm produces what effect on the systemvm(4uuot 6 xp n+n7xq:'s mechanical energy?

  Doubling only the sprin)rcok7 o ic6 ug7lq9d1g constant of a vibrating mass-and-spring system produces what effect on rd1kocq7)9 lg76iuo cthe system's mechanical energy?

  A mass oscillates on the end of a spring, both o 5iubuo*9)jk xn Earth and on the Moon. Where is the 9j5kx io *uu)bperiod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes k 22ek4i migxf9 gs3;jwhat kind of change in the resonant frequency of the system? (Assume no change in the system's masgk43g;km f2 isx2i je9s m.)

  Increasing the mass M of a mass-and-sp dcbse6)/k6ii(nlx z5ring system causes what kind of change in the resonant frequency of the system? (Assume noeil 6i6 sczbkx(n)d/ 5 change in the system's spring constant k.)

  Increasing the amplitude of a masse3/ o;*,w ney:kvwoc y-and-spring system causes what kind of change in the resonant frequency of theovk3w o/* ;cnewyye,: 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 attackvoqa q66 xf*3/ dy)ft7zc r1 ghcp/c0hed to a weightless string of length L. For this systeqh pqyk/crg1v6fxo tacc37 6 )f0d*z/ m, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for oeaj v9;/rovj 61hwg*qel -iv4ne complete vibrati-9 h6/4wvv gql*;oaier ej1 vjon

  Both pendulum A and B are 3.0 m long. The periomd5.s30wu-:dhnhlcc c5li o-d of A is T. Pendulum A is twice d 35nm0-lc5h-oi w . u:hdscclas heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, /o6bp1 6i flzz vk/tp);vgny /the time for one complete vibration ibfz1pp6vi/yl )z vtgn6/ok /;ncreases by a factor of

  What happens to a simple pendulum's freq8yywmb(jw 5n0uency if both its length and mass are incr5 0y(bmnyjw8 weased?

  Simple pendulum A swings back and forth at twice the frequency of siwmb-yc)gs8 jt4i 1pa;mple pendulum B. Which statement is correctws)tp1 4m-;8 cibayj g?

  If you take a given pendkqtkh:1iy )4d)g+8nvpf k 3z umr(r/pulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wily1 zgr+ ph miqfv)p tu3rn8)/d4(kk:kl

  Curve A in Fig. 11-1 0 yh5vsw8ab 81lxqyi) represents

  Curve B in Fig. 11-1 wn(f vu p 3:tfjcu:,g:represents

  Curve C in Fig. 11-1 reprkx+uvn/.8ud2z rfgt4esents

  For a forced vibration, the aycbpbb6* p9jejp : -k5mplitude of vibration is found to depend on the

  In a wave, the maximu v-c*(u a u.vt0gcsz0om displacement of points of the wave from equilibrium is called the v.gc0 (u otzv0sc-au* wave's

  The distance between successive crests on a wave gu/ zzw/nz+ai,ie;b xaw3z jw:;1 2ckis called the wave's

  The number of crests of a wave passing a point per unit time is called the w3 tm6m7gvuy):6regkt w8b)of ave'o m6vg 83umet7t)br:)y g6kf ws

  For a wave, the freqdlyy ojn n8;iz 303i jc86cdt)uency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distanc,r3dt9 yt:prmqy9q; /)vsjnwe between successive crests if the speed remains constat9r,pm wy qs/rtn9j)3q;y dv :nt?

  A wave moves on a string with wavelength l and frequency f. A second w3xhgu-o+s r9s0 lp lo3ave on the same string has wavelength 2l and travels with the same velocity. What is the frequency ogo+ 3slp3 sxrlu 9-0ohf the second wave?

  Consider a traveling wav pt8x,hvouw+*s; clkv eq :wjx087w5,8 mffdme on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following8qx we8:wcx7+,m0umfwd5lo jtvp kf; *8,h vs is true?

  A string of mass m and length L is under tension T. ogv w.f:)43wdie)e7 o0y rinxi8(pdl( cb:k wThe speed of a wave in the string is v. What will be the speed of a wave in the string if the mn rl :w w4)ediy7p di:(i.(oxk e3g)bwof80vcass 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 wav , fueox4hl e/k/4vt;ve 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 change in massv/ x /v44he ef;tok,ul?

  A string of mass m and length L is under tension T. The speed wjk) l4 zc hq2z3y7 s:eaah9g8of a wave in the string is v. What will be the speed of 8: ahqy2) lk7gjczwhza4s3 e9a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. ag70xnx z+rz7As an S wave travels through the Earth, the rex0na z 7zg+xr7lative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wav(72 f2cn,ga,kg mvz9l(uwx h *xpnd9ve travels through the Earth, the re mkx ngn (hd9(2 f,vg,wzcva7xupl2 *9lative motion between the P wave and the particles is

  The intensity of a w)+4lxky9o -li wnu:gb ave is

  A wave pulse traveling to the right along a th .p*bg mv+fixs. kjf+9in cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientationmv ijbf+sx*g..+fkp9 of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a styt3vjvu1 t.i 9ring, one is traveling toward the right atvty.1v9uij 3nd the other 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 )vb m0hs8)g(vn ojjf/i5vqvom093wf 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 regio3sfbvv/)8mogm jo0 )5f (0n vjvhi9wqn of space at the same time

  Resonance in a system, such as a string fixe i-d:dy*mb fzl0ppp) 9d at both ends, occurs when

  If one doubles the tensajdjrhrm (,q1j; e(4 gion in a violin string, the fundamental frequency of that string will incrd h;j1jgmj e(q(a,r r4ease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of ln 0gs6hw ;mdizki,4m, yap::we no/70.600 kg is suspended fromkmi iys4g,mdwnn 0l6:/,;ze 7hwap:o it?

  A mass is attached to a spring of spring constant 60 N/m along a horizonbnjq. ysm +r zhd132/ital, frictionless surface. T1dy b+im rs 3/n.hz2qjhe 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?

  A mass is attached to a spring of spring constant 60 N/m along a hor22yowfke rdmu oi29/1h1x7 3oa w2a fxizontal, frictionless surfackdu1ia2fry39xw o 71x2 m/2 aooh wef2e. 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 period of oscillation?

  A mass is attached to a spring of spring constant sy3 +wxnb7az 060 N/m along a horizontal, frictionless surface. The sa s07b+w3n xzypring 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 completbh:j3jw t.sts5q/u g3quq6 9ke oscillations in 5.0 s. What is6 5kqwqjj:ut3g uq/3hs9 tb.s the period?

  A mass vibrates back and forth from the free end of. ,r*)jtkpb s xbl,.jb an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is b, .bk ,x*j).rpjlbts the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alzr d(7txoe0ks j,9pp1ong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has 701pkjozr 9s pet(xd,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. The energy is 8.0 J at thilu*n6y dzx izt283wo v(t +ny8s time. The mass is cut in half, and the system is again set in motion 8y3 6zdit+ *nno2lzv (tuwx 8ywith amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sprina6r a3g(6vq iqg of spring constant 20 N/m along a horizontal, frictionless surface. The object oscill a3rgaq 6iv6q(ates 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 Nnw4k9f ay:.(f gc-v fk/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. At what location are yc n a 9f:fkkfv-g(4w.the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a(n xqm3/trq 5v horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amp/vx5(nmr 3qqtlitude 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 spriljyu )h( qvb9 4.0gd(. fq xkhcqva46fng of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the hf 9 kfyu..a(jxcq(6 qv 4v)hgl40dqbtotal mechanical energy of this system?

  A mass vibrates back and forth4czu1otl/,xb g 8j/pxnl+g4 m from the free end of an ideal spring of spring constant 20.0 N/m with an amp,x/nblpc/ tlug1 4oz48jgxm +litude 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 from its equilibribiy v0* e3v0uq dra)w,vjm (+tum position and released. A frequency of 4.0 Hz is observed. What freq(vb ui 3w*0+rmva)jyeq tdv, 0uency 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 sprin v wn,a *39,sh+ukhvwfgvj;f-g of spring constant 10 N/m. The object is displwvk;j-+swgfv n* 3ua fh9vh ,,aced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is atta nhsu30she+ w9gqxm*cj45m2l2 7aswt ched to a spring of spring constant 10 N/m. The object is displac jms+ a hxt205hwgcse97wu3nsm*4ql2ed 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 consrjqq/6 dso:2egs 82gutant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibration28 /qje6qg ur: dssgo2?

  A mass is attached to a sp1 hjwm+f0*ygg :dwdk-f hl (l)teu)4yring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained bwkj y:f-t )1fgmghdwy*0( )eu4+dl lh y the mass?

  Two masses, A and B, are attached to different sprif;)s mbzc wsg46dpo 85ngs. Mass A vibrates with amplitude of 8.0 cm at a frequencp gf8c4bo md;w6z s5)sy of 10 Hz 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 stretc-r ebukgu. l*s74obj/ hes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down an* lbj ebo/gu7.u4sk- rd released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilx- ,.glr l aca/4;idjjibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dia j;alrx 4gl .jd,-/cistance 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. In equilibrium the mass stretches th np5eqs6 d3jl0r8qru5u, sjr 8 ww(- dcn54aune spring 2.0 cm downward. The mass is then pulled an additional distawws 4 n -0nr5ljqd uu8dq83 cp, su5(r6jenra5nce of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motja4kc hkgk 4f8m3i -9pion obeys the following position versus time equatihkfg 9 pk483k ai4c-mjon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ver2t lqibthx1:6 sus time equatioi6 x1tqt bhl2: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 time equyjb:yz )+stx7 l2ogd)+zhk9hationz+yxdol z9jhh:+ t)sk)g2 y7 b:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of p2k;9) qgotita spring executes simple harmonic motion according to the eqgk tt9p;) qo2iuation $y = 0.50 \; \sin (18\pi \times t)$ 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 cogn 5a7uxk6tjwd3ju1* nstant of 20.0 N/m oscillates on a horiztadj 1wu5g6*ux jk3n7 ontal, 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 complete swings in 8.0 st2 yl5ftye p:7. (a) What are its frequency and pe yfe lp2ty:75triod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is ;y97rh yf.pto its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its ls 3lt-,cz1bozd 96,0o( ux cxtba f(poength?

  The pendulum of a grandfather clock is tms7kgz ;:-r y1.0 m long. What is its period on the Earrtkm-s:7 yg;z th?

  The pendulum of a grandfl 951/z/ca3to,y ez2beyuhzzather clock is 1.0 m long. What is its period on the Moon whhyu /ateb l/yz,51zc39zz2 eoere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cond eg137fg;3:ggzw u) ad /fbaisists of a 0.25-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. What frequency would have resulted if a 0.50-kg mass (same diametegd f;/bz uwaf g1ga3d3:)7geir sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displaceme7 a9k7n 3kbxj2jdpi :knt of 8.0e. It oscillates wiap jkk:7bj 2k7xn93dith 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 frequency of tr6fhohzzpw 64- qvm 9)he wave is 1hvh6w rz9f4-po)zm6q20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ/:g9hj:dm 6f .8geh prxkrxf :z8div 5ency of the wave is 120 Hz. What is the wavelengm 6xf je 9rk hpd8.z::r /dvhx85:igfgth?

  Figure 11-2 is a "snapshot" of a wave at a given time. Theb:sp+ltex;8dj2 x,t c frequency of the wave is 120 Hz. What is t jt:xp,;bxcldt8 2 +sehe wave speed?

  What is the frequency of a wave which has a period ofe0 4k snibj1a+ i5*dpa 6.00 ms?

  What is the period of a wave with a frequ: c ubfx.4yx2e3msnwv3u* 0er ency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelc-(gx. fk sxd nn6uh52ength of 3.0f2ngx- nc6uxs .k5dh( m?

  What is the velocity of a wave that has a wavelengtg*bylhbu 6 fz8v-1 *t;wvb po8h of 3.0 m and a frequency of 12 Hz?gb 8yo8-z* b1v lwt;h6b *puvf

  What is the frequency of a 2.5 m wave traveling at z:s l ,j4kt(z *m7apwnf35b,vhvvk a- 1400 m/s?

  A piano string of linear mass density 0.*rz4a-)toew cx lmzp;: xz -g40050 kg/m is under a tension of 1350 N. What is the wave zlcr-x)oax z- emw:* tz44;pgspeed?

  A string of linear density 6.0 g/m is under a tension of 180 N. pmg +s- q;)edod8a mis:ku/ .oWhat is the velocity of propagation of transverse waves.edu /o8mp assi+o) ;gkm-:qd along the string?

A wave whose wavelength is 0.500 m is trav. j)*csxti k:peling down a 500 m long wire whose totalx: pctijs .*k) 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. , 3lue:m vy:()xbeteg0-m long string fixed at both txgmu): ee v,3:y(eblends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fios ke qv;1eeu7 c5/2tundamental frequency of 500 Hz, which one of the followinioveq5k 72/ csue;e1t g frequencies can set the string into resonant vibration?

  A stretched string is4lgwpca64 gs gkk*:5b observed to 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 five equal segment4pkc6gl4s gbk :ag5w *s?

  A string, fixed at both ends, vibratessjkvmmm1*+a9o9w 2v v 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 c9*v wjsk9 +a ommv12mvontain 4 loops?

  A string of linear density 3;zle.y4x/q )g k h,jtjc 8iid1.5 g/m is under a tension of 20 N. What should its length be if its fundayiqthxg d4z)cl3jek j i,.8/ ;mental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/my9-tc z ha9chroic 1alj 0,q3rt8x74 l and length 0.600 m when it is subjected to tencc tiqalc3790ho4,atr x-rjzhy l8 9 1sion of 50.0 N.

A string of length 2.5 m is fixed at both ends. j:4wc 4rxape,gh,p f0When the string vibrates at a frequency of 85 Hz, a standing wave with f4 gw a4p:xfj,chp 0,erive 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.