ROTATIONAL MOTION

What is the moment of inertia of a system of particles?

• The average of all masses
• The sum of the product of each particle's mass and the square of its distance from the axis
• The total mass divided by number of particles
• The product of total mass and total distance

How does the shape of a body affect its moment of inertia for the same mass and size?

• Shape has no effect
• Different shapes distribute mass differently, leading to different moments of inertia
• Shape only affects appearance
• It changes the gravitational pull

What is the relationship between torque, moment of inertia, and angular acceleration?

• τ = I/α
• τ = Iα
• τ = α/I
• τ = I²α

For a uniform rod of mass M and length L, what is its moment of inertia about an axis perpendicular to the rod and passing through its center?

• (1/3)ML²
• (1/6)ML²
• (1/12)ML²
• (1/2)ML²

What is the moment of inertia of a point mass M located at a perpendicular distance R from the axis of rotation?

• MR
• MR²
• M/R²
• M²R