ROTATIONAL MOTION

What is the expression for the angular momentum of a system of n particles about the origin?

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

If the total external force on a system of particles is zero, what happens to the total linear momentum?

• It increases continuously
• It decreases to zero
• It changes direction randomly
• It remains constant

What is the relationship between the velocity of the center of mass and the total linear momentum of a system?

• V = P × M
• V = M/P
• V = P²/M
• V = P/M

How is the center of mass of a system of n particles defined?

• The geometric center of the system
• The point where all mass is physically located
• The point with zero velocity
• As the point whose position vector is the mass-weighted average of the position vectors of all particles

What is the magnitude of the cross product of two vectors a and b?

• |a||b|cosθ
• |a| + |b|
• |a||b|tanθ
• |a||b|sinθ