The time for one cycle of a pebu fzux./mwq p dv69g0r6a1h)q;htg9 riodic process is called the

  For a periodic process, the number of cycles per unit time is called tq v*/4*lym 8hgmrpp 1fhe

  For vibrational motion, the maximum displacement from the equilibrium poinxje ;6 qzvu394 . el.e7)yyvgvw4 ) 5hjeicajst is calledvej 97v;q s y)4wvcy. eeijaj .g4h3 )lz6xu5e the

  A mass on a spring undergoes Szo8 m)xlsgq6ra boj:k9.:l )aHM. When the mass is at its maximum displacement from equilibrium, its instantaneous veloci)aj8:rsk9lo.g mzx) aoqbl6: ty

  A mass on a spring undergoes SHM. When the mass passes through the 1jr8vtz/ *2ck s9n+dnfr9bywequilibrium position, its instantan yc bdw kn/1+fsj99tzv8 r2*rneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum di/xa( b q5pwjpfu7zfm4d:5mvmxe 582 s)kh ju(splacement from equilibrium, 8f4bx5sj d/(u:m5zk hvf5x w m jep qmua7(p2)its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points 4g)i ,c +52 ;sdmx2n.nfrkcqmzrqn s9A and B. Where is the mqr2c45ir,+nkfx gmzn9 ms;sq .n2)dc ass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up .h70 o,zg,qc 6 3v,sozg:mt2yro y fauand down between points A and B. Where is the mass located when its kinetic 7g. yza:,thfqs2,uoy36o r, 0mgv oczenergy is a maximum?

  A mass is attached to a 0j01.cg pavh yvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum?jy g0 .h0a1vcp

  A mass is attached to a vertical spring and bobs up and down between poinernc) 5ex1ia)ts A and B. Where is tcran5) e iex1)he mass located when its potential energy is a maximum?

  Doubling only the amplitude ofkv doxt:lv:0 5 a vibrating mass-and-spring system produces what effect on the sysdx5otv0k :: lvtem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produce)t37j z m1tzums what effect on the systjztu z mt17m)3em's mechanical energy?

  Doubling only the spring constant of a vibrating mass-kytn 8pf)/+z q*i7 t)6c:iaoj j4ii sjand-spring system produces what effect on the system' oyjn 4k:pi6jsi7f)tt za+*/8qjiic) s mechanical energy?

  A mass oscillates on the end of a spring, both on Earth asuqdn:xv7* k(csojk 1 b7qqb 5i2(x g6 .m0jpmnd on the Moon. Where is the period thdsqc7qbj.*0osb1mx qg675 vx jn mpk( ki:2u (e greatest?

  Increasing the sprinq2*hc sw h+0doy,bz4ag 9ylcf7e,(nfg constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass,(cfdyz+h 7 4w,oq2a*cfnb sehg9 0ly m.)

  Increasing the mass M of a mass-and-spring system j :: yomsdpb 0d;q3dq dln40+ncauses what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k :;obdjdq0q:m 43d+0p nl synd.)

  Increasing the amplitude of a mass-and-spring system casrdhc, tf)f,bizy0+7ca 4 w 1puses what kind of change in the resonant frequency of the sys 1 fyzs)t phacd f,i4+rb,0cw7tem? (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 a weightless string ofhpx w)k3jo/a*fsi,k ( length L. For this system, when undergoing small osci afp ix(*k)h,soj3 /wkllations

  When the mass of a simple pendulum is tripled, th; 9ayxmsi( 7ade time required for one complete vibrationayx( i7as9d; m

  Both pendulum A and B are 3.0 m long. The pe.:r2myuu x(-fdv qgkz6 m0-+nk ni*fmriod of A is T. Pendulum A is twice as heavy as pendulum B. What is thek(nixf*:k y2u+ q06n fgr- zdu mm-v.m period of B?

  When the length of a simple p9 hjxxa8 u59mf-.et0h ekn0dgendulum is tripled, the time for one complete vibration increases by a factor xej xkf90nma80tu. e59hdh- gof

  What happens to a simple pen9rsmejl5 swei41,a 1xx86 usz dulum's frequency if both its length and mass are incre ,ajs8x 1we s s64ix915erumzlased?

  Simple pendulum A swings back and forth at twice the frequency of sim/pn4 k,c.f6pg+dfx 4k)oh ik zple pendulum B.kf4/.,6znkh+pg f4p) kx doc i Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of grayj eo f/kl0.w1vity is less than on Earth, the resonant frequency of theke ol1y. fjw0/ pendulum will

  Curve A in Fig. 11-1 re5;bvcv8ixj ppi -h*9tpresents

  Curve B in Fig. 11-1 r14g5givn3sf90hcp dm epresents

  Curve C in Fig. 11-1 representsok.g6 ex nv*9gzr1 g8b

  For a forced vibration, the amplitude of vibration is found to depend on ty tswjc.:u ev9.9bq g;he

  In a wave, the maximum displacement of points of the wave f4xg1s7yzko(qu l -h6ce 3 g7wurom equilibrium is called the wave'glo7gcuyq zsw(e3-k41h6u7 x s

  The distance between succesh fom. d:j w7+1z jm6-bk*hguesive crests on a wave is called the wave's

  The number of crests of a wave passing 8 (/vkpf;l4d igps,sesc ek,- a point per unit time is called the wave'ss4f/c,,ge(vpk ik-8sl s;dpe

  For a wave, the frequency times the wavelength isqsmp s8 sa8v:;jzwy., the wave's

  The frequency of a wave increases. What happens to the distance betwe)u o*dt8 aa3xaen successive3 at)u d*8xaoa crests if the speed remains constant?

  A wave moves on a string wipext2: ),i2k:term/+ ot wqknth wavelength l and frequency f. A second wave on the same string hk:i n t tr+tewm/epxq o2),k2:as wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave jh ls k8h9u:ljp2- 8d c9pi/cjon a string of length L, mass M, and tension T. A standing wave is set up. Which of the followij d829 hk c-lslcj/h:j8upp9 ing is true?

  A string of mass m and length yvwi3fh unz3( vy;0*kL is under tension T. The speed of a wave in the string is v. What will be the speed ofk3n( w yhzv3*f iy0vu; 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 and length L is under tensoj ria/eb8rg/j/k+6 iion T. The speed of a wave in the string is v. What will be the speed of ae+j/8jrr /b ak/gii6 o wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave i2hs (/ xt9 ,5ixwfj6/awdwzten the string is v. What will be t59wtz wife2axxd/ w6tsh (,j/he speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave.3yezzc40 1a qa2p-kae As an S wave travels through the Earth, the rela1acq-a ezky3pae4z 02tive motion between the S wave and the particles is

  In seismology, the P wave ro+k3 ofussy// ht53 kis a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particlu5sokh3fo/t /ks+y3res is

  The intensity of a w ;hje9k,1om wtave is

  A wave pulse traveling to the rf omh*e m/ch- f2icxx9 l6b(i+ight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. 96 ibf( mx xi hcmf-/*+holce2 What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othe 2rlrir+rlpqoyt6-29r on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same tiry+llqrt 6p-29rro 2ime

  Two wave pulses pass each other on a string. The one traveling te)nlne(a .c .aoward the right has a positive amplitude, while thene ..c)naea(l 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 systemur a3 /v8 2busm.aa.lg, such as a string fixed at both ends, occurs when

  If one doubles the tension in5prj/h8.qsci--3gcme-w g y g6yx,d q a violin string, the fundamental frequency of that string will increase b/s-igqyjh3g gc .-qx5 8e-prw ,d cym6y a factor of

  What is the spring constant of a spring that ad:dk n;3kl- r:)icxr stretches 2.00 cm when a mass of 0.600 kanc;: d x:kidklr3r)- g is suspended from it?

  A mass is attached to a spring of springoq/- x .qd-whq 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 it is oscillating. What is hq-qd/qx. wo-the amplitude?

  A mass is attached to a spring of spring constant 60 N/m 2vkppr- :5;atzfw0twij*;f e along a horizontal, frictionless surface. The spring is initially stretched by a forczp :j0a2 w ;itp5e*tv;f kwf-re 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 60 N/mxp r7py(-niidj85 9zk along a horizontal, frictionless surface. The spring is initially stretched by a for-zn9y78pd rk 5ijxpi( ce 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 m3 w2wv0d xn-c2e9us njykd6 1SHM. It goes through 10 complete oscillations in 5.0 s. What is the period? d9ymw62jnwc0n- kevdu2x s31

  A mass vibrates back and forth from the free end of an idealc6tbktux87f 68c 7 s bu0,jz/pvgupx2 spring of spring constant 20 N/m with an amplitude of 0.30 m. Wbupk6 xbcx7tftp2cg /8 7,z8sjv06uu hat is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attqe6y b9o;o0.z76zdt/ ikwy(y9r n bxrached to a spring of spring constant 20 N/m along a horizontal, frictionlesxi k9nzbyy/ 7qtb6 9re(w.ozo; r dy60s 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 amplit:,h+hd9hkwc2 crio pbo,j- (p ude 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 amplitude 4.0 cm. What is the energy of the system njd9ki 2 bpo-hhc :h,oc,pwr(+ow?

  A 0.50-kg mass is attached to ax s nrlr82m8e1 spring of spring constant 20 N/m along a horizontal, frictionless surface. Thee 1rxm ln8rs82 object oscillates 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 N/m along o80 n mn;1cqkha 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 locati m08c koq;nn1hon 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 spring constantso ozia tl1,4, 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this sat4,zs ,o i1loystem?

  A 2.0-kg mass is attached to the end of a horizontal spnny7sxq5; 9k bring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whx9s5y b qn7kn;at is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sprt (rp sp i3nd;hezj2;:m zf5(zing constant 20.0 N/m with an amplitude of 0.250 mm;5t;frni z(zpd :2 pj(es3 hz. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm3-gib7gfn8x ux o)) ad from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been diso)-d unixx 3abg )78gfplaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/xpj6 w:ha :*o nz8eot(m. The object is displaced byozn6 ha j (w*::x8tepo
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 constant 10 N/mwtk8)o;9hu ez;c rfl6. The object is displaced bylz6)8etr 9fc u;whok;
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 spriv4)zi.s fnrb2ng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. Whaszivf.b4 )2 nrt is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency p xv6xa1)b 0bbof 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. b axx)1bb60pv What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibr9)sog kkk)t;upj6 ree:j25cp ates 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 16 Hz. How does thp26er9pu)ckj t) gje ks5;o:ke maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a y :i ksq0er1c;spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mas yqsi:c1k;e0 rs is then 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 e3ks,ha2 bt7(cr )uhugpv23zequilibrium the mass stretches the spring 2.3hre 2pzu, ut7g(chs) 32vbak0 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. In equilibrium the mass stb4xicnoya43 s4p3ev6 ci:bu )retches the spring 263i: es4yva4u3xn4)c bp icbo.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 harmonfta684 3 gpn mczdq+f3ic motion obeys the following position versus time equatd+c3fq 486fap z 3gmntion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following po zsa-28( omug (e m.gj 5puw3hc/nxm.gsition versus time equatez. gw35 cm 82ojmx/sauuh.mg(npg(- ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoow-3 q9pey3th 5s* gconic motion obeys the following position versus time equa 3 gh-ceqswtp3o9*oy 5tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes 6 gct3*:xvxqi simple harmonic motion according to the equatitivcqx63 g*x:on $y = 0.50 \; \sin (18\pi \times t)$ 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 fzx +jrwg5f 8ka 6k)uer3a 3ef9orce constant of 20.0 N/m oscillates on a horizontal, frictionless track. Aak3 z x6ru3 ja98+k5ffe)wergt 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 s. (7f css t h7tgh41l/u7ca) What are its frequency and perio sh/c7t 4suc1glf7h7td on Earth?

  A 3.00-kg pendulum i 8gd20u 9kmuwks 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What d k iy l54g5np rarp1t.-jcp:7is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe4 c33x4 bzyocstf,c (s8pitc-riod on the Eaz3sy4p toc c8-c,f3b s( c4ixtrth?

  The pendulum of a grandfather clock -y ygqg)xq 8i7is 1.0 m long. What is its period on the Moon where the accelerat iq qx78yyg)g-ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to c3;t thfn*p3 fa massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with 3f3t*tf;nh c pa 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 consistizs1s4u1 zfhtltonkph/1d/5 5s i7qh (ng of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period o zs47sn51z/h1pt / (s lfdhoki 5hut1qf 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:q z i i/tzphm 5x5wsy2fo25k3 a given time. The frequency of the wave is 120 Hz.s55qoi pt/:23z 5i fyhkw2 xzm What is the amplitude?

  Figure 11-2 is a "snx+d7 9dk6sx aaapshot" of a wave at a given time. The frequency of the wave is 120 Hz. 7sxxa6d9+dk aWhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tz4(yos ms9hqg.0h(s)efqgi /he frequency of the wave is 120 Hz. What is the wa0sg9/ zshfm (hyqi4)g .o se(qve speed?

  What is the frequency of a wave which has a period of 6.0k47 a qg: 2mr90xcrntatq6ap)0 ms?

  What is the period of a wave with a frequency of 1z(v/ cp2i7qhc )y (q 2v0idq kvc-ije.500 Hz?

  What is the wave spe /vtaw*1c(zo hed if a wave has a frequency of 12 Hz and a wavelength of 3.0 ot h(/v*wz1cam?

  What is the velocity of a wave that has a waiyooqrns4kl.,21n/o l * g9mfvelength of 3.0 m and a frequency of2okn* snm/l,9 4foy q r.g1loi 12 Hz?

  What is the frequency of a uhyaxj ao(5maj +/d k09)vnu. 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dei5: 5:pcb8 qo1.fg rgywul2txnsity 0.0050 kg/m is under a tension of 1350 N. Whagy wi 1 2ft8qocxb:u:g p.5l5rt is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. :ndwl4c yblvz-:9 swh; *jue *What is the velocity of propagation of transverszn:h*:w lc4 s*-yb 9w; juvldee waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wi3ynm u qmdv*zf.1 8(kxre whose total m.y1 8d3qnfu(kvm m* zxass 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 string filaf7/mpmq +hg++n rdbpy1oysv44r) ) xed at both ends is 200 m/s. Which one of the following is not) p/r yv 7p)h+4bsn 1+fygmdqo4a +mrl a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folq km: aav0: )pt(udp8qyo2o 5vlowing frequencies can set the string into reyava pdu o :tqqpvo)m2k 850:(sonant vibration?

  A stretched string is observed to have four equa8locqz8 std;7l 5cfv 3pk/n(yl segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set uv7ls3/;l8fp( q5t8c o dnkz cyp a standing wave with five equal segments?

  A string, fixed at both ends, vibrates atng.7e uv/el:;fb tp3k a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the stan; e 7 nft:bg/.lpke3uvding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What b v-*cku32iim1vf 2yvxlze :, should its length be if its funy 2c:3vef*2vimbv1xz,-ki u ldamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass demyccu ;,ofu8fle//s. zyv j5, nsity 2.00 g/m and length 0.600 m when it is suof e8s/5lumz;.,/uy cv,yjf c bjected to tension of 50.0 N.

A string of length 2.5 m is fi(1+ eecg/8g tlgyr/4 l nf0entxed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops rg8/ltt4nl +1 (ec gge/0yfenis 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.