ROTATIONAL MOTION

In the expression for angular momentum of a particle, l = r × p, what does 'r' represent?

• Distance from center of mass
• Position vector from origin to the particle
• Velocity vector of the particle
• Radial distance along the axis

For a particle rotating about a fixed axis, what determines the magnitude of its linear velocity?

• v = ω / r⊥
• v = ω² r⊥
• v = ω r⊥
• v = r⊥ / ω

Which of the following best describes the general expression for the total angular momentum of a system of particles?

• L = Σ (r_i + p_i)
• L = Σ (r_i × p_i)
• L = Σ (r_i · p_i)
• L = Σ (p_i × r_i)

A body starts from rest and reaches ω = 8 rad/s in 4 s. What is its angular acceleration?

• 1 rad/s²
• 2 rad/s²
• 4 rad/s²
• 8 rad/s²

What is the linear acceleration of a point on the rim if α = 3 rad/s² and R = 0.2 m?

• 0.3 m/s²
• 0.6 m/s²
• 0.9 m/s²
• 1.2 m/s²