Question

Calculate the torque on the square plate of the previous problem if it rotates about a diagonal with the same angular acceleration.

Answer 1

Moment of inertial of a square plate about its diagonal is ma²/12 (m = mass of the square plate)
a = edges of the square
Therefore torque produced = (ma²/12) × α
= {(120 × 10^–3 × 5² × 10^–4)/12 × 0.2
= 0.5 × 10^–5 N-m.