Rotation and oscillations

What is the moment of inertia of a uniform solid disc of mass M and radius R about its central axis?

• 1 MR²
• 2 MR² / 2
• 3 MR² / 3
• 4 2MR² / 5

A simple pendulum is 2.5 m long. What is its period? (g = 10 m/s²; take pi = 3.14)

• 1 3.14 s
• 2 1.57 s
• 3 0.5 s
• 4 6.28 s

A wheel has a moment of inertia of 0.5 kg m² and spins at 4 rad/s. What is its angular momentum?

• 1 2 kg m²/s
• 2 8 kg m²/s
• 3 16 kg m²/s
• 4 0.5 kg m²/s

A 2 kg ball moves in a circle of radius 1.5 m at a constant speed of 3 m/s. What centripetal force acts on it?

• 1 9 N
• 2 6 N
• 3 18 N
• 4 12 N

Resonance occurs when the driving frequency is:

• 1 Much larger than the natural frequency
• 2 Equal to the natural frequency
• 3 Half the natural frequency
• 4 Zero