# QUESTIONS

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QUESTIONS

1. Which of the following relationships between the acceleration a and the displacement x of a panicle involve SHM: (a) a = 0.5x, (b) a = 400×2, (c) a = -2Ox, (d) a = -3×2? 2. Given x’ =·(2.0 m) cos(5t) for SHM and needing to find the velocity at t = 2 s, should you substitute for t and then differentiate with respect to t or vice versa a 3. The acceleration a(t) of a particle undergoing SHM is graphed 2in (a) Which of the  labeled points corresponds to the
panicle at -xm? (b) At point 4 is the velocity of the particle positive
negative, or zero? (c) At  6 point 5, is the panicle at   and 0,Question 3. or between 0 and +x m? 4. Which of the following describe  for the SH

5. The velocity v(t) of a panicle undergoing SHM is graphed in the panicle momentarily stajionary headed toward  or headed toward at (a) point A on the graph and (b) pointB Is the panicle at  at 0 between  and or Between 0 and when its velocity is represented by (c) point A and (d) point B Is the speed the panicle increasing or decreasing at (e) point A and (I) point B

6.  gives, for three situations, the displacements of a pair of simple harmonic oscillators (A and B) that are except for phase. For each pair what phase shift (in radians degrees) is needed to shift the curve for A to coincide with curve for B? Of the many possible answers choose the shift the smallest absolute magnitude (a) x

b show the positions of four linear tors with identical masses and spring constants in snapshots same instant What is the phase difference of the two linear 0.

lators in  What is the phasedifference between the red oscillator in and the green oscillator in (a) Which curve in  gives the acceleration a(I) versus displacement of a simple harmonic oscillator (b) Which curve in gives the velocity v(I) versus (I)

a small block A sits on a large block B with a certain nonzero coefficient of static friction between the two blocks. Block B, which lies on a frictionless surfac is initially at x = 0, with the spring at its relaxed length; then we pull the block a distance d to the right and release it As the spring-blocks system
undergoes SHM, with amplitude xm’ block A is on the verge of slipping over B (a) Is the acceleration of block A constant or does it vary (b) Is the magnitude of the frictional force accelerating A constant or does it vary? (c) Is A more likely to slip at x = 0 or at (d) If the SHM began with an initial displacement that was greater than d, would slippage then be more likely or less likely(Warm-up for Problem 16)

a spring-block system is put into SHM in two experiments In the first the block is pulled from the equilibrium position through a displacement d and then released In the second it is pulled from the equilibrium position through a greater displacement d2 and then released Are the (a) amplitude (b) period (c) frequency (d) maximum kineticenergy and (e) maximum potential energy in the second experiment  greater than, less than or the same as those in the first experiment  shows three physical pendulums consisting ofidentical uniform spheres of the.same mass that are rigidly connectedby identical rods of negligible mass. Each pendulum Is vertical and can pivot about suspensio point O Rank the pendulums according to period of oscillation greatest first   to If the speed of the bullet were greater the following quantities of the resulting SHM then begreater, less, or the same (a) amplitude (b) period (c) maximum potential energy.

You are to build the oscillation transfer device shown inIt consists of two spring- block systems hanging from a flexible rod. When the spring of system I is stretched and then released, the resulting SHM of system I at frequency II oscillates the rod. The rod then provides a driving force on system 2, at the same frequency II’ You can choose from four springs with spring constants k of 1600, 1500. 1400, and 1200 N/m, and four blocks with masses m of 800, 500, 400, and 200 kg. Mentally determinewhich spring should go with which block in each of the two systemsto maximize the amplitude of oscillations in system 2

a spring-block system is put into SHM in twoexperiments. In the first, the lock is pulled from the equilibrium position through a displacement and then released. In the second  it is pulled from the equilibrium position through a greater displacement d2 and then released Are the (a) amplitude, (b) period (c) frequency, (d) maximum kinetic energy, and (e) maximum potential energy in the second experiment greater than, less than, or the same as those in the first experiment  physical pendulums consisting of identical uniform spheres of the. same mass that are rigidly connected by identical rods of negligible mass. Each pendulum Is vertical and can pivot about suspension point O. Rank the pendulums according to period of oscillation,

greatest first.
12. Follow-up to Exercise 36: If the speed of the bullet were greater,
would the following quantities of the resulting SHM then be
greater, less, or the same: (a) amplitude, (b) period, (c) maximum
potential energy?
13. You are to build the oscillation transfer device shown in
Fig. 16-26. It consists of two spring- block systems hanging from
a flexible rod. When the spring of system I is stretched and then
released, the resulting SHM of system I at frequency II oscillates
the rod. The rod then provides a driving force on system 2, at the
same frequency II’ You can choose from four springs with spring
constants k of 1600, 1500. 1400, and 1200 N/m, and four blocks
with masses m of 800, 500, 400, and 200 kg. Mentally determine
which spring should go with which block in each of the two systems
to maximize the amplitude of oscillations in system 2.

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