The time for one cycle oo i n87c6qwc5e1xa :7h9 iscmrvhfe (9)lwaz3f a periodic process is called the

  For a periodic process, the number of cycles per unit time is call/2ek6 n7oae+ k8sthoked the

  For vibrational motion, the maximum displacement from the equilibrdrek7n;/6 cpsium point is called thcs ;6/n d7krepe

  A mass on a spring undergoes SHM. When the mass is at its maxa (he/l2n -typ 9vcr:qimum displacement from equilibrium, its insla(c-ne:yq2 rh /9 vpttantaneous velocity

  A mass on a spring undergoes SHM. lwd-8z 8 emtqrba 6)k:When the mass passes through the equilibrium position, its instantaneous veloe)8 rwkl-batm z8: 6dqcity

  A mass on a spring undergoes SHM. Wh.gkrj9 rq/a, )hqy im(en the mass is at maximum displacement fromgq.,kaj/rq r()yh9im equilibrium, its instantaneous acceleration

  A mass is attached to a vert5+ct b:r;seh8x p2f18u+dz sefn u2l bical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minf e2+p+ 8bt2fnz8uls;hrcb :edxs15uimum?

  A mass is attached to a vertical spring and bobs up and down doa8iocxl-yo(/ p2h -between points A and B. Where is the mass located when it l2ica( hox-yo-/opd8 s kinetic energy is a maximum?

  A mass is attached to a vertical spring and ln4g9cvn mk (ab2j)z.1 gyj/jbobs up and down between points A and B. Where is theb2./av9g cl nj1(jngjz )4 myk mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow;rk2c)aq3wk29cg ccbp:dp0 k6;j pmyn between points A and B. Where isd 09gp3;2p bqawk)k cmc26jcrykc :;p the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produb*6a:e; dvy)d ir/vx2ruu6egces what efd*dig:6 v r2u b veare/uy)x6;fect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producwgx3;vr53jl6ue 9v tp es what effect on the system's mechanical en33p trlvx u;5wev69gjergy?

  Doubling only the spring constant of a vibratinghute 7w-o 8:xme3mgk( mass-and-spring system produces what effect on t8 o:u(w 3m7-hm etkxeghe system's mechanical energy?

  A mass oscillates on the end of a spring, both on Eart3a5id+l+ck 2mymn2bz h and on the Moon. Where is the period the b 2 madmknz3i2+ y+l5cgreatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind m 0 z-lo- j7bl.ozcon8of change in the reson8m7 ozc- zl-.0ojbolnant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in 5kupp: 9: 7v lzm,vzsythe resonant frequency of the system? (Assum suzp97pmy 5:k v:,vzle no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sysi43z*f2mve3k / w uk9gdrfh1 vtem causes what kind of change in the resonant freqe/9*z3d3mv f k1v uigf4wrh2kuency of the 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 at tdegj;l v6wl+ x:kzmq6bfa- )wn.b(9tached to a weightless string of length L. For tlk9df (tmae )-. lqn wb;w:gx+6jz 6bvhis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one r fm 4st9y,(rg44ddef complete vibrad4mr,(fdgsfe r 94yt4 tion

  Both pendulum A and B are 3.0 m long. The period j7 ef*pny xr7d1;mm q;of A is T. Pendulum A is twice as heavy af1q;xm7 jmypnd7r ;*es pendulum B. What is the period of B?

  When the length of a simple pend 6;s gpd+or t hc 6/t*yb+.2gxohk2 o4zwh/rbwulum is tripled, the time for one complete vibration ipo6/h;thgg.rb hc d*ys + +kto2o2w/4z6wb rxncreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mm9:3qa enqz a :phj2.i6d* 3cr mu-gju afx:g7ass are inzren. :j3ah3 :q a:gp2af dxu6j7umg9-i qmc* creased?

  Simple pendulum A swings ba(4 r2ry2z (skkk7 8wolo1ymy gck and forth at twice the frequency of simple pendulu7y( r8rom2 ysk 21(kkz wo4gylm B. Which statement is correct?

  If you take a given pezkke7x ey4, : m25wwibndulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequencw,472kemeikbzy 5 w:x y of the pendulum will

  Curve A in Fig. 11-1 rsfzkn73vo:umw;nz fe :h1) 8bv:mrb 9epresents

  Curve B in Fig. 11-1 kc8m q9q*rclhp 1-pm*represents

  Curve C in Fig. 11-1 represskzqjx;j/- u4pir9*hny5 5e6aw ) ydc ents

  For a forced vibration, the amplitude of vibration is .g 5rqm :ml;4jre*r6j5npg aao4j6kn found to depend on the

  In a wave, the maximum displacement of points of the wave 5.;vdi ck ahm(i*gem*from equilibrium is ca iieg(a.*kdhmm5;c* vlled the wave's

  The distance between succeikk o a+c14t k-lei(f)hv ;,jussive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called t-avx, (f ubfk6j-kg2 i6u t:pjbax 9o,he wave' g2 (v6,fjko-ifakjb:6,-x x9uautpbs

  For a wave, the frequency timec02ykpb8,n dhs the wavelength is the wave's

  The frequency of a wave increases. Whatewz js uql- mu(d11s*) happens to the distance between successive crests if the spem uuq j d1)s(*zeslw-1ed remains constant?

  A wave moves on a stxy1+m7c3 kui lring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the samecm 37ilyku1+x velocity. What is the frequency of the second wave?

  Consider a traveling wave on a strc+. 2g/hhqbvy+wso)s ing of length L, mass M, and tension T. A stanhhq/+boy+s. w2 s)gc vding wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of w y8 :qepmq+jy5ja *6ea 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 6qy*:j+q pmweyjae85 change in length?

  A string of mass m and length L is under tenm+m;td c .z 56/24kwnbezxgtwqo a 71ision T. The speed of a wave in the stringc2/kmz aqneb w5;+w 6mxtg 4 tzd1oi7. is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m az v338c (avs*;kbnx3bod 1mcy nd length L is under tension T. The speed of a wave in the string is v. What will be b;x 3vz*s 8y bc moc3andv3k(1the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travto5)nx1dz( /x fkwd(:sn; s tvels through the Earth, the relative motion between the S wave and t( 1fxtovd t )ssxw;5z(:d /nnkhe particles is

  In seismology, the P wave is a lon3m9dw io9 0la me6jpmj2 5ue*ss5ye9j gitudinal wave. As a P wave travels through the Earth, the relative motion beiep93m os9a*sj d6lmjeyj95 5 em0wu2 tween the P wave and the particles is

  The intensity of a wavb v*5pd 0w8vvv;mh3gwe is

  A wave pulse traveling to the right along a thi dj/orosvx 9krkxf.(,d n:)r-n cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and r( f.x kxd/knrd9j-s,o r) o:vtransmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, .lfncx0i 1/gz one is traveling toward the right and the other toward the left. At the point that they occugc il/f1z.n x0py the same region of space at the same time

  Two wave pulses pass each other on a string. The one trqn5 5hr)jt- reaveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the po 5er-r hjq)5tnint that they occupy the same region of space at the same time

  Resonance in a system, s w;-q a()depvzv,kts*uch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental freq i7u u(vltq:34oqi,lh(6pivwx 2 9 hwkuency of that s: i q6luw 4( xu(vipwot,k97 vi2hhlq3tring will increase by a factor of

  What is the spring constant of a spring that sj2emdp/qmsv2 2qe 0) xe0a(avpkpd4* tretches 2.00 cm when a mass of 0.600 kg is su0k*2qepamex 4ap2vse(vmd q2p 0j )/dspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a48bh/ehufr a+m+:uo 9qlg wf /(bqdz5 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 z+qbf :rhqf /9o l g4 weu5+dhbam/8(uis oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontalj+7khe2j/ yt4hw*xa i, 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 equilibriumh2e ji h wykxj/*4+a7t position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m alon117j66dmemlqo1ihw 2oa hh;g g a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on oehh1m17q h2o1wld6 a;im j g6the 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 goehxf1ha55ou7 v s through 10 complete oscillations in 5.0 s. What is the period?x7uoh5 hf1 a5v

  A mass vibrates back and forth from the free end of an ideal spring of spring p3xd6-8:ix/vqm2h,onfz pq ek z1ka,constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibkqx,f: p2z6na dmzi qk8o,h13v p/ e-xrating 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 along a horiz*lvu(m m;3s 7l+hlxf d pf1f-vontal, frictionless 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 energ7;lmv1m fhs( *xfl up +vd3lf-y of the system?

  A mass undergoes SHM with a/ pdzy4;6lmertg 1su89m8b jomplitude 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 systemrj 6/y tl9dmm4 uo;b18zes8pg now?

  A 0.50-kg mass is attached to a spring of spring constaq repy6 g70k1cp :pzm9nt 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 equilibriu6p1rycz:ke 9p7 m q0pgm position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of sprin42fa1ahf4cubgx-b7z:q 7 h w :clpvf2g 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 equilibq- zgfc h 42fca :pl:4axhfbub7v7w21 rium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end o9f,to6o kip)6zx* anjf a 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 mechanical energy 6)9i tz*a,kpoo nfj 6xof this system?

  A 2.0-kg mass is attached to thyu84nqy,3sv27,/y ybrq seb8 sasu l: e end of a horizontal spring of spring constant 50 N/m and set into simple 2, qsy 3r87uy l,ay4ubqsy:s/nb8sve harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideaq7(rbodiei xr*h+o9/ t ,6b xm9bb;d sl spring of spring constant 20.0 N/m with an amplitude of 0.2b ih br9 bed;q,/t od+x*iorxmb6s9(750 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is d f5rrx2c.x-gj/0nu+k+ uxdbw 5qu ue 3isplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would bxxnq0c5+ u-+ urexrjuu2d5wf /k 3.g be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached b4 (fg g,wmw7kto a spring of spring constant 10 N/m. The object is w gw7k,gfb(m4displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachfyif-v ,g y3)red to a spring of spring constant 10 N/m. The object is disf 3r)gyy fvi,-placed 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 ocb0 0zpt -f9iga ug qin ekj57-4c0ee0f spring constant 18 N/m, displaced slightly from k0gcen0euq7 jie50 -gi a bt0zc9fp4-its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.f*8wf3 4lr1pe;u fp z+f..q3lh tysr h27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the mapw1hp l 4f;yf sqzf. t33r8u*. +elfhrximum velocity attained by the mass?

  Two masses, A and B, are attached to different spring gz (i xi(vvk/0ovia:9s. Mass A vibrates 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 the maximum speed of A compare to the (0i(/gvzov 9:iixavk maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass streyf-j+sc p4lozuua+6 6tches 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 perlpy66fja-so+u c4 uz+iod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equiliktf/r+c rutqgy 7jboz gx 15q;g,05- ibrium the mass stretches the springzqfri-qtu/05yk1c rgg+g o 7x5jtb, ; 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. I0bu44lfuk /vj k(r-w rn 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. Write down its equation of motionu-r0w4jku(rf 4/vkbl.

  An object in simple harmonic motion obeys the following position vey rzofzo:yl4i:dc/ ,/ rsus time equ yzold4z: ,/cyfi: /roation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus x6 4-fkt.e5kzz,ad(xk3 il2mbn 5 o awtime equatioxnkzf2k,3ak(dmtw-x5e5z 4i. b la6 on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll+;;snao-bnz r 9pm 8e6s2kg o26o3 grlyu jm.cowing position versus time equati onb6mm g+6-8s o9erszy.3;l2oapku nr 2;jgcon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of6tyxz+6thx 9 f a spring executes simple harmonic motion according 696tfxxtyhz+ 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*)b tfm0kn6 e.lj1ado .0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 c*)k d6mf. onl0jea1 btm. (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 swsb: /lr ti*(yf5;lpvwings in 8.0 s. (a) What are its frequency and period on Earth* lrwbs5li (tp:;/f yv?

  A 3.00-kg pendulum is 28.84 m lon2z1 tu lm/z1.xtmi6tlr;qbr, n -rbs.g. What is its period on Earth?

  A pendulum has a period of 2.0 spfz lldng17+9yqd4h o5z g3d + on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m y;la i lj1;f x99qwdb6long. What is its period on the Eartqw;fbly9a 6il19dj ; xh?

  The pendulum of a grandfather clock is 1dro 88qlz6r ;d.0 m long. What is its period on the Moon where the acce8dz8do6r l; rqleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericalt yl4 sz 0gx15i*7imz;.r bclp 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. Wh*py1;mc0tgz 7siib5rz.llx4 at frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement on t bi7gt/;/ofyz7:py f /iy :p go;/f bnytt77z 8.0e. It oscillates with 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 wa,rd)d;:+llh qr cjca +ve at a given time. The frequency of the wave i hraj dccdl):+; +lr,qs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a+ mfiqjb29csknhl 4o 6(8y3zq given time. The frequency of the wave is 120 Hz. What is the wave68bmqn ykq4i+c9 zh3sl( jf2olength?

  Figure 11-2 is a "snapshot" of a wave at a givenjpct1swa//b c6f/ c r+ time. The frequency of the wave is 120 cc1csbwp/taf r/j/ 6 +Hz. What is the wave speed?

  What is the frequency of a wave which bt -h*/bykzd qu0s** thas a period of 6.00 ms?

  What is the period of a wave with a freqr v;wytyi7+w 34k 9xawuency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavel ,2 yii3/lhxseength of 3.0 i,ls ihy /e32xm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fe/lxowy .5r8 r +i8cs8w swv6brequency of 12ywrb6w/six+ve8rc85 8l o.sw Hz?

  What is the frequencz a,d i-8jc db/f3*mydy of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension o0 dd 4ba*nye gc7j9;jlf 1350 N. What is thanb7d*d yc4jle9jg ; 0e wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. qk ;8(gw *d vtkw81g;ipmu1xvWhat is the velocity of propagatiqg;w giv*x1( ;v8 u8w dmkp1tkon of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down as(dv n 6upk8*mziutioy0+8-0b00axt0yjji y 500 m long wire whose total mas*btxy y 0 naj6-m8vk+otzpi 8u j00ii d(0yus0s 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 stri h:tjgh3jpuc-*v68teqpmf:e 8 .r ( fcng fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this str :je3tfp-(rpqcc6*h8 vm :jh f.e8tgu ing?

  If a guitar string has a fundamental frequency of vc qszw2;iz)ve f6)9 x500 Hz, which one of the following frequencies can set the string into ;f2vc wse69v) )zx zqiresonant vibration?

  A stretched string is observee 0qz7dob1j-gjsp-q8 d 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 segmen-s1zjbqq7pjed 8 go 0-ts?

  A string, fixed at both ends, vibrates at a frequency ofyhas8y 3 g29q8ht4z ir;r3fzj 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency isy8zs;r3 y i hra8t9z2h4gj3qf needed if the standing wave pattern is to contain 4 loops?

  A string of linear d2k2p xpjqpj(tiwo y;cs ;16 , bs8;kgbensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequeoy(xb j, ;ps 2q 2bkpk1i j;;8cgp6stwncy is 220 Hz?

  Find the first three harmonics of a st2i 1lc b,waf;pring of linear mass density 2.00 g/m and length 0.600 m when ,pca ;lbwf 2i1it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed ata3z 4 pvyti4x, both ends. When the string vibrates at a frequency of 85 Hz, a stia y,434pvztx anding 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.