In the sketch F1 and F3 are directly to the right and left of the center of the

Question

In the sketch F1 and F3 are directly to the right and left of the center of the disk respectively and F2 and F4 are above and below the center respectively. All forces are applied at the edge except F2 which is applied halfway between the center and edge of the object. If the radius of the object is 1.5 meters, F1 is 22 Newtons, F2 is 29 Newtons, F3 is 62 Newtons, and F4 is 43 Newtons. If the moment of inertia of the disk is 14 kg m2 about its center, what is the angular acceleration, in rad/s2, of the object about its center produced by these forces only? If it is clockwise include a negative sign. F2 F1 F4

Explanation / Answer

here ,

let the angular acceleration is a

using second law of motion

I * a = net torque

14 * a = -22 * 1.5 - 29 * 1.5/2 + 62 * 1.5

solving for a

a = 2.73 rad/s^2

the angular acceleration is 2.73 rad/s^2

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