Exhibit 16-1 A graph of position versus time for an object oscillating at the free end of a ...

Exhibit 16-1
  A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.
 
 
 
  Use this exhibit to answer the following question(s).
  Refer to Exhibit 16-1. The point at which the object has zero velocity and positive acceleration is
   
  a.
  A
   
  b.
  B
   
  c.
  C
   
  d.
  D
   
  e.
  E

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[Ques. 2] Exhibit 16-1
  A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.
 
 
 
  Use this exhibit to answer the following question(s).
  Refer to Exhibit 16-1. The point at which the object has negative velocity and zero acceleration is
   
  a.
  A
   
  b.
  B
   
  c.
  C
   
  d.
  D
   
  e.
  E

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[Ques. 3] Exhibit 16-1
  A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.
 
 
 
  Use this exhibit to answer the following question(s).
  Refer to Exhibit 16-1. A point or points at which the object has positive velocity and zero acceleration is(are)
   
  a.
  B
   
  b.
  C
   
  c.
  D
   
  d.
  B and D
   
  e.
  A and E

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[Ques. 4]

An object of mass m is attached to string of length L. When it is released from point A, the object oscillates between points A and B. Which statement about the system consisting of the pendulum and the Earth is correct?
 
   

   
  a.
  The gravitational potential energy of the system is greatest at A and B.
   
  b.
  The kinetic energy of mass m is greatest at point O.
   
  c.
  The greatest rate of change of momentum occurs at A and B.
   
  d.
  All of the above are correct.
   
  e.
  Only (a) and (b) above are correct.

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[Ques. 5]

A weight of mass m is at rest at O when suspended from a spring, as shown. When it is pulled down and released, it oscillates between positions A and B. Which statement about the system consisting of the spring and the mass is correct?
 
   

   
  a.
  The gravitational potential energy of the system is greatest at A.
   
  b.
  The elastic potential energy of the system is greatest at O.
   
  c.
  The rate of change of momentum has its greatest magnitude at A and B.
   
  d.
  The rate of change of gravitational potential energy is smallest at O.
   
  e.
  The rate of change of gravitational potential energy has its greatest magnitude at A and B.

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[Ques. 6] A hoop, a solid cylinder, and a solid sphere all have the same mass m and the same radius R. Each is mounted to oscillate about an axis a distance 0.5R from the center. The axis is perpendicular to the circular plane of the hoop and the cylinder and to an equatorial plane of the sphere as shown below. Which is the correct ranking in order of increasing angular frequency ?
 
 
 
   
  a.
  hoop, cylinder, sphere
   
  b.
  cylinder, sphere, hoop
   
  c.
  sphere, cylinder, hoop
   
  d.
  hoop, sphere, cylinder
   
  e.
  sphere, hoop, cylinder

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[Ques. 7] The mass in the figure below slides on a frictionless surface.
   
  When the mass is pulled out, spring 1 is stretched a distance x₁ from its equilibrium position and spring 2 is stretched a distance x₂. The spring constants are k₁ and k₂, respectively. The force pulling back on the mass is
 
 
 
   
  a.
  k₂x₁.
   
  b.
  k₂x₂.
   
  c.
  (k₁x₁ + k₂x₂).
   
  d.
  .
   
  e.