Rotational motion and simple harmonic motion

In simple harmonic motion, the acceleration is always:

• 1 Constant
• 2 Proportional to the displacement and directed towards the mean position
• 3 Zero at the extremes
• 4 Proportional to the velocity

A 0.5 kg mass hangs on a spring of constant 50 N/m and oscillates. What is the time period? (Take pi = 3.14)

• 1 0.063 s
• 2 0.63 s
• 3 6.3 s
• 4 1.0 s

In SHM, the speed of the body is greatest at the:

• 1 Extreme position
• 2 Mean position
• 3 Halfway between mean and extreme
• 4 It is constant

What is the angular velocity of a wheel turning at 60 revolutions per minute?

• 1 6.28 rad/s
• 2 60 rad/s
• 3 3.14 rad/s
• 4 377 rad/s

A torque acts on a body with moment of inertia 2 kg m2 and gives it an angular acceleration of 3 rad/s2. What is the torque?

• 1 1.5 N m
• 2 5 N m
• 3 6 N m
• 4 9 N m

What is the rotational kinetic energy of a body with I = 2 kg m2 and angular velocity 3 rad/s?

• 1 6 J
• 2 9 J
• 3 12 J
• 4 18 J

The total energy of a body in SHM, ignoring damping, is:

• 1 Zero
• 2 Constant
• 3 Largest at the mean position only
• 4 Increasing with time

An oscillator has a frequency of 5 Hz. What is its time period?

• 1 0.2 s
• 2 5 s
• 3 2 s
• 4 0.5 s