Question

Calculate the torque on the square plate of the A square plate of mass 120 g and edge 5.0 cm rotates about one of the edges. If it has a uniform angular acceleration of 0.20 rad/s².  if it rotates about a diagonal with the same angular acceleration.?

Answer 1

Given in the question :-

Angular acceleration , α = 0.20

Mass M = 120 g or 0.12 kg

Edge a = 5.0 cm or 0.05 m

Moment of inertia of plate when line passing by centre and parallel to the edge

$I =\frac{Ma^2}{12}$

Now, Torque (plate)

T = Iα

= $\frac{Ma^2}{12} * 0.20$

⇒ 0.12 × 0.05² × (0.20/12)

⇒ 0.01 × 0.05 × 0.01

⇒ 0.5 x 10⁻⁵ N.m

Hope it Helps :-)