Q.41

Expert-verifiedFound in: Page 332

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A kg ball on the end of a lightweight rod is located at where the axis is vertical. The other end of the rod is attached to a pivot at . What is the torque about the pivot? Write your answer using unit vectors.

Hence, the torque applied on the mass is

The rotating equivalent of force is torque. It is provided by.

The force is , and the distance between the pivot and the site of application of force is .

The right-hand thumb rule determines the direction of torque, which is a vector quantity.

For the application of force, see the diagram below:

The position vector of the mass is:

Substitute for and for

On the mass, the force vector is:

Here, and are the mass and acceleration of the ball, respectively.

Substitute for

The torque acting on mass is

Substitute

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