A uniform square plate of mass 2.0 kg and edge 10 cm rotates about one of its diagonals under the action of a constant torque of 0.10 N-m. Calculate the angular momentum and the kinetic energy of the plate at the end of the fifth second after the start.

Question

Philoid · Accepted Answer

i) The value of angular momentum is 0.5

ii) The value of kinetic energy is 75 J

Given

Mass of the plate is given as 2kg and length of the sides of the square is 10cm with a torque of 0.10Nm.

Formula used

The of the average velocity is the basic kinematic equation of velocity, where

and

where

is the angular speed, I is the moment of inertia and K.E. is the kinetic energy is the average acceleration.

Explanation

(a) To find the average momentum which is

We need to find the values of

Then the value of kinetic energy is given as