05.12: A mass on the end of a spring oscillates with the displacement versu2/48lo 7 w:eon 7 tm0pesmrzzus time graph shoournmo807l em:s/z4pe 7ztw2wn to the right. Which of the following statements about its motion is INCORRECT?

  10.08: A mass is connected to the end of a spring and undergvk640;hb6i gsk* x8qoq0oz sy f iv,1eoes simple harmonic oscillation. The graph provided shows the position of the mass6;oh qszfxoy v 0qe k8i4vg1kb,0 i*s6 as measured from the floor as a function of time.
What is the period of the mass’s oscillation (in units of seconds)?

  10.09: A mass is connected to the end of a spring and unya/ eril7ly85fdg* r2:4 nkl mdergoes simple harmonic oscillation. The graph provided shows the position of the mass as measured from the floor as a function of time.l ima25gr yn f*y7le/4rkdl8:
What is the amplitude of the mass’s oscillation (in units of meters)?

  14.08: A 2.50 g mass connectz/ l /z*f,udj0ihm.lkwi,il .ed to the end of an ideal spring oscillates in simple harmonic motion. The mass’s position is described as a function of time by x(t) =0.20 cos(8.00 t + 0.50) where all quantities are in base SI units. Which one of the following choices gives the numerical value of the oscillati i/.lk*jli mhw/ dizf0,z l.,uon’s amplitude in base SI units?

  15.26: The position of a mass connected to a spring obeys x(t) = Acoqfg 5.in+gor8,b jv a5s(wt) . What is the average speed for one full oscillation in terms of the mass’s maximum spbjrva5gno ,8iqf + 5.geed during oscillation, $V_max$?

  03.37: An object on a spring undergoes Simple Harmonic Motion. Its mo( exnuiw4:pd6,1wgzg tion can be described by thefollowing equation y = (0.3 m) sin (10π t + 4) where m is in meters and t is in seconn(16u4w dp,e g:giz xwds. What is the amplitude of the vibrating mass on the spring?

  03.38: An object on a sprxn/qwd 3t/) ) kalfbv4ing undergoes Simple Harmonic Motion. Its motion can be described by thefollowing equation y = (0.3 m) sin (10π 3 na/l4bf)vxtd/wq)kt + 4) where m is in meters and t is in seconds. What is the period of vibration of the mass on the spring?

  00.08: A pendulum is pulle3vda.ob 3bd, e1fs3y/gc fmi7 d to one side and released. It swings freely to the opposite side and stops. Which of the following might best represent graov.3e bf/7as3g d,mcbd13if yphs of kinetic energy $E_k$, potential energy $E_p$ and total energy $E_T$?

  11.18: The motion of andqwszet a; fd-k :)rw;b4ij ,6bch* i7 object moving along a straight line is given by the velocity vs. time7r;wi w;b4 t*abiz 6qk,jfch d:)sde- graph shown.
Which one of the following choices best represents the average acceleration of the object during the time interval from t=4.0 sto t=9.0 s?

  11.19: The motion of an object moving along a straight line i;7. 4ul, qsf /girfi1td em)ovs given by the velocity vs. time grapl f/mfdt7eivoguqr. i) s14,;h shown.
Which one of the following choices best represents the instantaneous acceleration of the object at the time of t=5.0s?

  12.17: A mass moves according to the graph of pwy4d6 -++2gi*je hprmvgce btv( i7 +xosition as a function of time shown below(m +-et gxh6w+ i*vvpb j7c re2yd4+ig.
Which one of the following choices correctly represents the time instants or time interval for which the instantaneous velocity of the mass is considered always to be negative? Lettrepresent time.

  94.05: Amass m; attached toch ,twio+ f , ;bodr;g9)wa)uc a horizontal massless spring with spring constant k; is set into simple harmonic motion. Its maximum displacement from its equilibrium positio) w,i9rht,;wgfaoc)ob ;d cu+n is A. What is the mass’s speed as it passes through its equilibrium position?

  94.40: A block of mass M is initially at rest .dl:q0 gj::s bl 0widzon a frictionless floor, as shown in the accompanying figure. The block, attached to a massless spring with spring constant k, is initially at its equilibrium position. An arrow with mass m and velocity v is shot into the block. The arrow sticks in the block. What is the majq0d:l:.g bi0wszd :lximum compression of the spring?

  01.36: A mass m is attached to a springfj4doljmq6w da 31 o5zfb2 vsd1.boi s8 v+35e with a spring constant k. If the mass is set into simple harmonic motion by a displacement d from its equilibrium position, whi o .dlb ovj+qd2mzejs3vow135841fd 5afs6 bat would be the speed,v, of the mass when it returns to equilibrium position?

  08.48: A block of mass M on a horizontal ;im*se(+2umq;wdgo7k l /is lsurface is connected to the end of a massless spring of spring constant k. The block is pulled a distance x from equilibrium and when released from rest, the block moves k2ui g;( 7+sm;olmie*/lsqdwtoward equilibrium. What minimum coefficient of kinetic friction between the surface and the block would prevent the block from returning to equilibrium with non-zero speed?