The time for one cycle of a periodic procesvjl 7 x8t-ln6qs is called the

  For a periodic procesmfz3 67avh5r*jd.+;* obqc2qpluie *t r/v qp s, the number of cycles per unit time is called the

  For vibrational motion, the maxim,9 ihuqb7fzx(bbch 07 um displacement from the equilibrium point is calli,x bbc z0hf7qb(9h7 ued the

  A mass on a spring undergoes SHM. When the mass is at i:(hb hh /t (i a6;lakashbt3n)ts maximum displacement from l b)hi bt6 ;3:(h hska(anath/equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passo;9dn 6ftz 7+pz j2wzhes through the equilibrium position, its i6nzd+pz2wo j ;hzft79nstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximumt tm9o;h-nk/i/bm32sq n.y pl displacement from equilibrium, its instantaneous acct-bml /oyp9.3m2/qnkit n s; heleration

  A mass is attached to a vertical spring and bobs up and down between p( 7kk0,gbgcrommf6 q2;8pom u. xds-points A and B. Where is the mass lom0(m kg;x7 o8 -,puc2 dmb gkfsor6pq.cated when its kinetic energy is a minimum?

  A mass is attached to a vertical sp 1kd)w rf6f x;9i(jkmiring and bobs up and down between points A and B. Where is the mass located when its kinetic energyi;fk 6k(dmj 9rw1if)x is a maximum?

  A mass is attached to a vertical spring and bobs up and d-d mn2m*0gtnoxx xx +.ocnu 5+own between points A and B. Where is the mass located when its potential energy is a minimum?no+c*x2 mu o0 m5-txxxndgn.+

  A mass is attached to a vertical v,a ) *(*qydiwjo ico4(qwn:ui 6s b4kspring and bobs up and down between points A anwasdqn i4b( ): 4ujqvo(,** 6kiicoywd B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring qfzh q;sk 4shq:u8ub33 qeeug-u34 et28 .clj system produces what effect on ths33f34uhbs8k-e.jqq:ulz c4q; qte82ghuue e system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces aukxn5ls c*,/what effect on the /cu5 k xan,sl*system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprk;mdb/q2+ nhp ing system produces what effect on the system's mecn2p/+bk;q dm hhanical energy?

  A mass oscillates on the end of a sprin agzemz/hy n9701 lx*jnnc p+paun29.g, both on Earth and on the Moon. Where is the periodz0 /ppn9+c 7 ng 2*9ahn .xuyn1zjamle the greatest?

  Increasing the spring constant k of a mass-and* wch/kv8zh; k-spring system causes what kind of chw8 ;h/c h*vkkzange in the resonant 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 kqd6:d h7h cprvs 2e .2ztj(r/find of change in the resonant frequency of the system? (Assume no changecdzhf6h2 t7 d .2jqe/r:(r spv in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what2-ecth2mzmw ) 04 synu kind of change in the resonant frequency of the system? (Asntmmhs0z2w 4) -ue2ycsume 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 99z kv481gcxym.s bxqto a weightless string of length L. For this system, when u9g4kv m1zqcb 8.xx9s yndergoing small oscillations

  When the mass of a simple pendulum owhv-:. es0c ury/)cj is tripled, the time required for one complete vibratiyc0vjw)ue-so rc. h: /on

  Both pendulum A and B are 3.0 m long. The period of A is T. P 5hu88ejzv(j hendulum A is twice as 5e 8juzhhv(8 jheavy as pendulum B. What is the period of B?

  When the length of a simple 9*vc yxjtfxa -e z+:i0pendulum is tripled, the time for one complete vibraya+vj-xc9f i* :xtez0tion increases by a factor of

  What happens to a simp y0gg cwvj6hm -7vv87hle pendulum's frequency if both its length and mass are incregvjh 07vwyv-h78 cg m6ased?

  Simple pendulum A swings back and forth at tcs *f /,( wa vd.qv7*9vveej4gk;e i 9oj;lwrnwice the frequency of simple pendulum B. Which statement is cori4j ec(fov/v q9wsv ;,j7*g9l;rw ake *nv. edrect?

  If you take a given pendulum to the Moon, whetfo(c3yu.w bn3ku r85re the acceleration of gravity is less than on Earth, the resonaw8bfy5tk.o3r u( c3un nt frequency of the pendulum will

  Curve A in Fig. 11-1 represents1wo rb:z; .opd

  Curve B in Fig. 11-1 representsr 0k 63fvwl(as

  Curve C in Fig. 11-1 rep 1t cirb: l7fryviv;76resents

  For a forced vibration, the amplitude of vibration i t 9cast-3qd tel5ur4-s found to depend on the

  In a wave, the maximum displacement 8yns10et6rlvjpj-- lof points of the wave from equilibrium is called the wav-typl6e18 ls jrnjv0-e's

  The distance between successive crests onig ef 28 evw2koc-ocgq5ot;). a wave is called the wave's

  The number of crests of a wave passing a point per de i iro.nfy3q +l -,e4bu+ji(unit time is called the wave' . bree4-n3iiyl( +qfouj+di,s

  For a wave, the frequ i nr8r57y3gwauszx*ewzu 5 51ency times the wavelength is the wave's

  The frequency of a wave increases. What happensi r8)su y*6zyp to the distance between successive crests if the sp6ip)sr *yy8 zueed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thees8d424 s zvh de.*-v( vmhay0 bk ama5megs20 same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?4h aev8v ka0 d* am20.2m 5b(mvdheyss4-g ezs

  Consider a traveling wave on a jbrjxv+ yf-4pq -j96tstring of length L, mass M, and tension T. A standing wave is set ub6f 9-j+pr-jy jv4t xqp. Which of the following is true?

  A string of mass m and length ,5;z/*vb bd e sy. iwb(sctg3kL is under tension T. The speed of a wave in the string /35gb;ty ssc,( de.k bbzwi*v 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 change in length?

  A string of mass m and length L is under tension T. The speed of a wave -l j m6r9by3hqin the string is v. What will be the speed of a wave in the string if the length is increased tlmr39 h -yq6bjo 2L, with no change in mass?

  A string of mass m and length L is under tens)d yt7rk w9jae)d:n l0actd,4 ion T. The speed of a wave in the string is v. What widy dnk,aa 9rtce)0)4w7 dj:l tll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave0qua3duh x+n)x b d;4l is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the ;+n0ax 4bd lqxuu) h3dparticles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t .y8k-zqk1 +x lgn(rcchrough the Earth, the relative motion between the P wave and the p k8.l (kqy1zc ncx-gr+articles is

  The intensity of a wave isvl2(caydbyx3 1p bt /:

  A wave pulse traveling to the right along a thin cord reaches a dis6f-ywl4pa: xq continuity where the rope becomes thicke6lpfw 4y-q :axr and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a st/k7s rjb77d4 bjjt 7ooring, one is traveling toward the right and the otho4j7bt b7d/k ro7j js7er 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 string. The one 8u60edlgo)bzrvr 0f) 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 occupovl6d 0r)ub)zrgf 08ey the same region of space at the same time

  Resonance in a system, such as a strq8k8bl-5cn os gay x v608c3piing fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundame l- x)a z)0.t/wluicbwm sek4)ntal frequency of that string will increase by a factolwx)/4um.az0wsi e-tc)lb ) kr of

  What is the spring constant of a spring that stretches 2.00 cm when a ma zl2wh;m *dw3p 48n6r utmr(u+apa)qoss of 0.600 kg is suspended from it?hn a*ar8zr;mu2q )m +udolw(w p46pt3

  A mass is attached to a spring of spr*t6dn n,abo0x t- j9zbing constant 60 N/m along a horizontal, fri*- 906tz nobbt,xdjn actionless 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a ho34go*7qhv mh myl+u9v rizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It yh+ouqhg34* vmmlv7 9 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 d 22p g6 idurbvsebmtnw.b(8;*+ ajh- a 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 it ;bh n6rw b-mdasgv2p+jb.8i2 due*(ts equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compledu(4v. q-p9mgwf 9zr ote oscillations in 5.0 s. What9fp9. rvgw4d q o-uz(m is the period?

  A mass vibrates back and forth from the frekk:xxq*ya2 2u(ej6heq(y yh 4e 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 ma6jhxa hk : 4(yy*ex qey2(kqu2ss when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sq9vjclak03c-* q m+g jpring constant 20 N/m along a horizontal, frictionless surface. The obj30v+cq9g* - jkaj mlcqect 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 amplitude of 4 cm. The energy is 8.09mnb: 11 rv wqnod1wj4 J at this time. The mass is cutd1j9m:1wbv nnro wq41 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 ofrvlp)n8be/wm7l e 2g7 spring constant 20 N/m along a horizontal, frictionless surface. The e7w2gple/nl v7b8rm) 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 sprinz 5x/f4mkw u)ng 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 equilibrium position. At whaxfwzukmn /) 45t location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizongt +euopzz-o6dh1 bo bx (389jtal spring of spring constant 50 N/m and set into simple harmonic motion with an amplito6gouhb e bjt +d-93 z8p(1ozxude 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 s9dz z2g4v6ccmiy x:vi(f 23u horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude :xgczvi43 fdmy suz6 2 i(2c9vof 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free en0 rv5w 3nbm:nad of an ideal spring of spring constant 20.0 N/m :wn50anvrb m3 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 displaced 10 cm from its equilibri f3pfg8hr+ f;sum position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced offf83sh ;rg+ pnly 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The( *od)kpt, nsv27ymv lndxl.byvw;/ ( object is display b tm7od;(v l2,/px vlnns(y k).*vdwced 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 constabz,-mm g,qi77 fpaq5cnt 10 N/m. The object is displacazm , iqb7q-f7m,g5cp ed 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 ino ,8ah(cla/ spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and releas8c, ioa/( nhlaed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of ms2m1va sx*b;.gf gs+ 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity a+. sms ms*xbv2gg;1f attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A i5pwnxfxt+a, +fgn; kte**g 4pvg;p 0 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 comparxe+4g,ag tfx vi5pnwp;+kft* p;0g*ne to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. ,ph*kl kop85,b5 ,pggbrna5 yfp7r a 6In 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 ,5 prhr8 f6 ln7apgpogbab5kp5,*,ykrest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the op bmy d .)-6qv;-vmknmass stretches the spring 2.0 c)vnpy-m.6 oq ;vbkmd-m 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 stretc2/jtp 3t/e9 cyv7s :kbny0gn yhes the spring 2.0 cm downward. T0 / nctyyj 3ykgs vb7/t:2np9ehe 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 mk8c sz, scxj7l:+:yw rotion obeys the following position versus time equationj slw+xck s7, ry8c:z::
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follog7vui u xk(n, +c4ke:nwing position versus time equatikg c:e,n ukux7+vn (i4on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys tk-huly un:9yv,vwv ;:he following position versus time equavv:uyu -k l wv,h:n;9ytion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fre 9wc +3-bpkkwse end of a spring executes simple harmonic motion according to the equatwks +p9ckw-3b ion $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spri8).zahb6 71n b fzcjufx0s7cfng with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0xzfnz1h faj u).sbf76 078bcc, 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. )xh8iy17bswil 4(fyc c4.h2 ayj fd0p0 s. (a) What are its frequency and perichx4 bp chy.as ij8) yf04(yd il7f1w2od on Earth?

  A 3.00-kg pendulum is 28.8 tbj408vi, 31q qvjy2oyihl-i4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its ,hnq;dj+ge dt 5ihb . 5.7aqgulength?

  The pendulum of a grandfather clock is 1.0 m long. What is its yor-8vr.u 7 swq3*swuperiod on the Eart uw-rysr38.ovuws 7 q*h?

  The pendulum of a grandfather clocp +ma6 df(r,k p6dv7o39yp1xn6a nelrk is 1.0 m long. What is its period on the Moon where the ac,9f61 pdr+ ak3d ym epop7 (v6ralx6nnceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachednpy6x76bq6wmmuw8c()gfu r2vh ( )1zvd- mfu to a massless string. When the mass is displaced slightly m n) m6u(7g uwf b-qf uvrzp(dmy 1)86hc2v6xwfrom 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 diameter sphere) had been attached to the string instead?

A simple pendulum cotdhdtp78c)s 3l wv9 l-nsisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of hdsw78pdl-l39)tvt c 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. Theg t e: /+ qqqte-iqxse:p10q6o frequency of the wave is 120 Hz. What is the ampl:g qe1qqeq/6: +tpto xq-0iseitude?

  Figure 11-2 is a "snapshot" of a wave at a giveni 3crxnuy k.o-eb 5u/- time. The frequency of the wave is 120 Hz. What is the wavelength?be.y5x--uuk3onc/ri

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of th(klyq cm2fi1ll5mq.8 e wave is 120 Hz. What i2(ly518 iqlkmcl . fqms the wave speed?

  What is the frequency of a wave whb5 *irl*:dznm ich has a period of 6.00 ms?

  What is the period of apn ya8rtm-q;m796v6 ;d7u b+ faoribu wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wave; e81bkit92(zo iwlselength of 3.0 m?ie2( 9iz s8lteo;w1b k

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequen ;r4mbauy3q,nwy0qn 7 cy ofu0 , nw;yn4amqbr y3q7 12 Hz?

  What is the frequency of a 2.5 m wave trzv ,a667 1rg(cddc0e aebp1uhaveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 13504+znudxd m.;m3xi g:l N. What is the wave spex.lm 3 i:;+g dnxmzu4ded?

  A string of linear density 6.0 g/m is under a tejjs6cjam 3e*n;d6n )tm xbl c- pp,)9unsion of 180 N. What is the velocity of propagation of transverse wabnjj 9jtp 3d6nace;s- *cl) mp,u 6m)xves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wir-m 9 ;cn(wdmime whose total mc(dmw;9 inm -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 2.0-m long string ficydgi b g1uk/ .fl)l t *+*+utjm-dk-ixed at both ends is 200 m/s. Which one of the fol d-*. yd/ mclgk f)ubki+*+li1ttj -gulowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fol*d2fybq8jz/qq :1ee plowing frequencies can set the string intoybz1q:2*p8 qq efd /ej resonant vibration?

  A stretched string is observed to have four equal segments in a standing-zglp)q(j s y)e.c6g i wave driven at a frey) i 6cql (sjg-ep).gzquency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency o/vk :x ikg-g a. cq(j-v7hma)sf 12 Hz with a standing transverse wave pattern containing 3 loops. q7hkxv ()asg/:- mjg-kvic.aWhat frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of r,zcau5 r7xfl;p k+ 4w+a4qjp 20 N. What should its length be if its qlauw;jz a +cr4,7fkr45px+p fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a ief -ewy wbl 6jn,x(2+string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 wijye-e(x l,6wnf+ 2bN.

A string of length 2.5 m is fixed at both ends. When the string vibrates at hq -rqxm .wx.t,vpzr59n( 6sra frequency of 85 Hz, a standing wave with five loops is forptr x qvr (,x-.mq6hnzr5w9 s.med.
(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.