1.

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»

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 :-)



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