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.
Question 2A 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 0.5
R 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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