The time for one cycle of a periodic process is9 7,uey(9wlj vk v h5-,dj9 lntgcbrq- called the

  For a periodic process, the number of cycl6jrgz:wzxm( *uiu 8 *fes per unit time is called the

  For vibrational motion, ther/1tiq5chcfwz u)3 /ppaws*;j: o j j: maximum displacement from the equilibrium point is called th/ch1 ojr3s :fcjp5p z;w :*q/wji)t aue

  A mass on a spring undergoes SHM. Whend8ivfa1j jd8 q tak7m)n rb-6j*.tdx,o3 bay2 the mass is at its maximum displacement from equilibrium, its instantaneous velocitn ,17kxjrji8mqata6-3 dtdjy.)ao*bv 8bd 2fy

  A mass on a spring underg;q1 2f nyku)acoes SHM. When the mass passes through the equilibrium position, )qucyn2f 1k a;its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displace//k l o6yhhs1t-u4 ohlment from equilibrium, its instantaneous ac/h-64llok / sh hyuot1celeration

  A mass is attached to a vertical spring and bobs up and down between points j6mw356gnecpf5w1oq1 ae 7h aA and B. Where is the mass located when its kinetic energy is a m76ocn1 q5w e wmfj3geaah6p51inimum?

  A mass is attached to a vertica+eekxfswlytd2. x .id p9+v. 3l spring and bobs up and down between points A and B. Where is thx 2x e+lf +si.eyp 93v..tkdwde mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down be,(;o+d otu dfztween points A and o duftzdo;+( ,B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs upgpn* a7efjug j;n7r08 and down between points A and B. Where is the mass locg j8pf 0*e;7nujg arn7ated when its potential energy is a maximum?

  Doubling only the amplitude of ;lws c/f8 ks/ma vibrating mass-and-spring system produces what effect on the systefs;8/sck lwm/m's mechanical energy?

  Doubling only the mass of a vibrating mt(,8s. d/ed)olvokwc+s2m ik ass-and-spring system produces what effect on the sys)k c/s8 ie d(o+k.dtvlmwso2,tem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprimh9-4 v p7kmtwng system produces what effect on the system's h-m 7pw k9mt4vmechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. rs ;:xce0ix*iWhere is xs0ie : ;*crxithe period the greatest?

  Increasing the spring constant k of a mass-and-spring systep(,jmp d)afb 0m causes what kind of change in the resonant frequency of the system?j()pa0p m,bdf (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wha tpd 1j3cn1ywsor8,t iu6n2 n6t kind of change in the resonant frequency of the system? (Assume no change in the j,ntts1r2yc6n3 poun 8i1 dw6system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of 4 yo2iw2etw; gchange in the resonant frequency of the system? (Assume no other changes in the sysyi;2tgo 2we 4wtem.)

  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 0tvcle9wm3pcyz 00wf3 u/j8 kstring of length L. For this system, when undergoing small oscillationc3p 8zykl c fju30vtw0m0w9 /es

  When the mass of a simple pendulum is tripled, the time required for one complet-qvx91 ge 3x9/zko dcbe vibratio-xkoxveg3cz1 9b9 /qd n

  Both pendulum A and B are 3.0 m long. The periody ;of6lji-v mfe6-3dq of A is T. Pendulum A is twice as heavy as pendulum Bjoe3;q f6ym-livf 6 d-. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one co (zpn+av ;n e:7x vkp/ fndiou:a73y)dmplete vibration incred iu;n3 o knpenv7z a)(7/d:fx:y+vpaases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are z59px x o14omoincrease 1pz45xooo9x md?

  Simple pendulum A swings back and forth at twice the frequenwtk wvi(qm.x8igx+5 +cy of simple pendulum B. Which statement is im8xwkt+q(+v5 xigw. correct?

  If you take a given pendulum to the Moon, where the acceleration of gra3fz(7wr 8)qwu 9 lltdmvity is less than on Earth,fd9wl(t7rq) 8 z3l wmu the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep9wh, n u, (kxri8;fijvresents

  Curve B in Fig. 11-1 represbmnsp33fx48 d7 )tchzw,p e+qents

  Curve C in Fig. 11-1 represenjr cz, v.y,q50p( ohjats

  For a forced vibration, the amplitude of vibr9rzo8 tq . lbnj 0km ak8v .nq-ohujq8kao710,ation is found to depend on the

  In a wave, the maximum displacement of points of :f1z rw0xglwtai-7 6 +y nhga4the wave from equilibrium is called the wg0rwfx:ni-g7 w+l16a az t 4yhave's

  The distance between successive crests on a wave is called the wavwi, w0b4 txw2*nli(que's

  The number of crests of a wave passing a point per unit time is called the e t8, kevd8kq8wave',d8e8k kv 8qtes

  For a wave, the frequency times the wavelength is tmchjdsn4 :t7;he wave's

  The frequency of a wave increases. What happens to f87nbfjj :7l(m0(ygvazgy/m8/o nxx the distance between successive crests if the spezg g j88yoxl:n// nm ax(mjbvf(y707fed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on1* 0;q5x it ad6lsegr9 -dpoob the same string halp bdg* 9txd 0iesrqo;-ao65 1s wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length w 7zvbky jvct6232g;kL, mass M, and tension T. A standing wave is set up. Which of the fol3b;jvkkvg 2726 tyzwclowing is true?

  A string of mass m and length L is under tension T. e /f5e2r 24u ahjx+8yl:8cle lgq/i dk The speed of a wave in the string is v. What will be the speed of a wave8ux4dly:5 + /f ge2r 2 i/ck8alhlqeej 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 unpqga.tcr2rs/azi*- n * vib1 e;ul* f:der 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 length is increased to 2L, with no cbi*sf*a.1pqr:-r g vn2l; z*acue t/ihange in mass?

  A string of mass m and length L is under tension T. The s)uhx ;w36qnxuwquj* *: bd q5upeed of a wave in the string is v. What will be the speed of a wave in the stri)j;buq*h*u3:xnwxuwq q d 65ung if the tension is increased to 2T?

  In seismology, the S wave is a trane, m .kmeu,t7ax+o2cddb) w6l sverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles imled72u .dm,eb wa6c+to xk),s

  In seismology, the P wave is a longitudinal wave. As a P waveli :ok9ogkn9bg /bzh a.em +5( travels through the Eh95kgo:.l9(im b a/znogk be +arth, the relative motion between the P wave and the particles is

  The intensity of a waveyk4 23 an;2w.ulr / jn+scyrlt is

  A wave pulse traveling to the right along a thin cord reaches a disconti ;ez1iyz7z/sj nuity where the rope becomes 7ez; zzsy1/ji thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudesrh p),m+t 7zcj( v.-mu2iyl:g-d 6h l6jvisxq pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy thd,-xrvvm6m76u ty+-ish:c( z pilh.jj) g2lq e same region of space at the same time

  Two wave pulses pass each other on a string. The one*vy06rn0xj t.v by j.s vue5v+ 1a5rjc 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 of space at the same t.1 e+n0jvj r c.juvv5t6aysrb5 yvx0*ime

  Resonance in a system, such as a string fixed a (**t/wjeoue;:twmhn1l l1 kxt both ends, occurs when

  If one doubles the tension in a violin string, the fundamental fr gy.; pg, n)odbw(+ioj g0cr6sequency of that string will increase by a fac( 0)irggbp;n6 ,j+gdc wsoyo.tor of

  What is the spring constant of a spr/h,c ,ob0 rwtring that stretches 2.00 cm when a mass of 0.600 kg b,r/ hc,orw0t is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,f6hcl 3 2cvrx*6 )dknt -c*gow 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 cwtgl *n6 okf*rd6-cx)v ch2 3position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60et2 s kww0fui8y+ ka(0 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force (u0swaie8fykk w +20tof 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 a6 zevq+d8 fngfm3h4 rc7p5yd3 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 equilibrium position when it is oscillating. What is the frequency of osc6h7zf 33 nyf+p54cdgmqre dv 8illation?

  A mass on a spring undergoes SHM. It goes through 10 aej/2e8s)igp +whe p*complete oscillations in 5.0 s. What is the perio2*e geah wp+s)e8/ipj d?

  A mass vibrates back and forth from the free end gcdig c8 n92mm 3fykvq0:k-1iof an ideal spring of spring constant 20 N/m with an amplitud3 9i yc :q8k nfvk2midgg01m-ce of 0.30 m. What is 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 along a oo+:d 7sj)rsx*afq6dk c f2w4lz)o5qhorizontal, 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 enel+6c7qakfz do5x2: s *4)sfwqo) ro jdrgy of the system?

  A mass undergoes SHM with amplitude of 4 ca: qf3sn11xh gm. 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 cmgfn3a1 :sx1 qh. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 2ib5d*2 fy.vw1w - dkxj0 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. Whv x.b- w*yf2k15djiw dat is the amplitude of vibration?

  A 0.50-kg mass is attached to a b(ung hzf:m+jc9; vlq:j ,ll6spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hmn( ::f ,jjlq9 zl; l+vb6ghcuas 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 horizonta wmh9fqhq.-k(n 2p *mbl spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totalh9bfw hmk -mq*.q 2(pn mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring be14w o u wki39olb-8k 2me;vgof spring constant 50 N/m and set into simple harmonic 8g kvowb2uol; ki9 w-4e1me3bmotion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fo0 poy2q 1kc:x5+sv ytkrth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mas5 :ky0+2osxt c1yvpkqs?

  The mass of a mass-awikn+( o6dv.g4 azvd4 nd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz v(46ki4gd va+oz nd.w 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 attached0np/ykqz **l 0o tp8qw to a spring of spring constant 10 N/m. The object is diqtwz/8yn*p 0*o0pql ksplaced 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 constant 10 N/m. The obdc7i,f )w hn)jject is displaced bywhd)ij7n,cf)
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 constant 18 N/ovq4 yj(*p1xom, displaced slightly from 4q1 (voyx*jpoits equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates r.omzur2+zt (p c2 u :d.ado1oat a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rel2+crr.ud 2.1o ampzodo(tu z :eased. What is the maximum velocity attained by the mass?

  Two masses, A and B, arb8;tv82kfs ble attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass8sb;bv 8k f2lt 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 ss5upd58 nd)bp pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional di5 b)5np8dsupdstance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a g* hrqtin7qahw,iy boql43/w):b6gq6 o/cl7 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 releab, w)l6t:7 q l q36bq7gno4/ygih/ha*w oircqsed from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches 31g-eildm4eb.u w).m.lq f gfthe spring 2.0 cm downward. The masggil)mf4 de. 31bqem.w lfu.-s 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 following posrt dxv5gwkn.*(axyn2g o+j /7ition versus time equation onx/gx rw*vt+yg.27(jk 5dan:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple haruwo7tjn1nj* /oki 1b 4monic motion obeys the following position versus time equabk*41ojo w/nt i1u7nj tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vershmm fqa4n0 i:z80u*4enva v;nus time equation:fznvm :0n4 iaqauv4mnhe *08;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simplpjr 4ef-1jz7s e harmonic motion according to the equati-zfse7r1j4jp 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 force constant of uuof .ph1bt11dwvlp:f6 o/m , 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, f16mu p1f dt,l:o1bp uv.woh /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. (a) What are its frequency xb ixic1hgy*bp18u0zed j37 +and period on Earth? 1i7*18epb3+jxzidg0 bxc yhu

  A 3.00-kg pendulum is 28.kp vn ) k7xe9rt.an(4a84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Wbj,xkrly5 - )khat is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha9d.+wp a jtd)w)j:5q-8xrr e klg)v tpt is its period on the Eard+j:tqwt9d)xjr. a vrl e)5)kgw-p8 p th?

  The pendulum of a grandfather clock is 1.0 m long. What is itk qv)eltkzg*n/ v 08*xs period on the Moon where the acceleration du/t*)gvx enzk*8vq0kl e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless stplz- + / xlxf)ry3lat4ring. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2)x zxry3p4f+ lt -/lal.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 of a 20-g mass has initial angular displacement o.xv;d,jiis o ,f 8.0e. It oscilla,d.xo,;is vi jtes 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 wave at a given time. z:u hu5pk(ahj *s5pu : The frequency of the wave is 120 Hz. usah hpkj*:uz:u( 5p5What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the;gqk/cs fs :0s wave is 120 Hz. Wha sss0fk cg;/:qt is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the ey-0fs+s*p z9gc:dt swave issy 0sd t+s:-cpf*z9eg 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 m4 gqiq)/h8v u m9oejyzl 1o0d fdfy 32:7ngp4qs?

  What is the period of a wave wir qnqhh ( /ehj*rd*9q)th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frennt pjr9b073gfjb, tx n(lp91quency of 12 Hz and a wavelength of 3.0 m?3n t9jgnj x91f,b(0np7bp rtl

  What is the velocity of a wave that has a wavelengjluunm,z a*4 f4x0v y9t3/vcfth of 3.0 m and a frequency of 12 Hz?/l ,0j4fayf 3nt4vuz *mu9vcx

  What is the frequency of a 2.5 mx*t nf+q+zo/fbo 9zs2 on8) oh 7zs6vu wave traveling at 1400 m/s?

  A piano string of linear mass 0wy ha 4c9c4jb72b zrddensity 0.0050 kg/m is under a tension of 1350 N. What is the wbh z4dcy4 a9jw0b 7cr2ave speed?

  A string of linear density 6.0 g/m is uv ;bfg5r;lkmju ; my(8nder a tension of 180 N. What is the velocity of propagatf( ;yjlvr;m5ubg; m8kion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 mcaq .(ditkoy 1,3yos-1+ hqua long wire whose total mass isah3 1,d. y-1+us o k(tycqioaq
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,hr bl82:- fask9bvseng fixed at both ends is 200 m/s. Which one of the following i,vl:-s 9sar f ke8b2hbs not a resonant frequency of this string?

  If a guitar string has a fundame csipxbd ;7:hbb+ aa*dyf5u98ntal frequency of 500 Hz, which one of the following frequencies can set the string into resonax adp95ba87h+fy ci*;sdb:ub nt vibration?

  A stretched string is obsjxh+q 1u4ru9 hd0)od rerved 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 o+4hxdqr 9hujru0)d1 equal segments?

  A string, fixed at both ends, vibrateskzq6b.eyuxjty: *vr3d(erz qv :kny9 3k *n+4 at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pat n:q3*yy:* +v.r3q v96(yjub4 xkrdeznt zkketern is to contain 4 loops?

  A string of linear density 1.5 g/m is u nnwlpu5h:n,s /;u,8.k lgyaunder a tension of 20 N. What should its length be if its fundamenthp/ ;,lk g.n s,uyu5wnan:ul8al resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densits wkhyh4; nf21y 2.00 g/m and len2;wnh4ky fsh1gth 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 the stgdi51.fk;qm* c* 4 86xwcnq4rrfzuq pring vibrates at a frequency of 85 Hz, ancqqr4* *; wix 5fdk861z pcq.gf4mur 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.