A force of constant magnitude acts at the end of a light rod of length hinged at one end

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A force of constant magnitude

15\,\text{N}

acts at the end of a light rod of length

0.75\,\text{m}

hinged at one end. The force is applied at an angle

\theta

to the rod in the plane of motion. (a) Show that the magnitude of the turning moment about the hinge is

11.25\sin\theta\,\text{N m}

. (b) If the required turning moment is

6.0\,\text{N m}

, calculate the two possible values of

\theta

(to the nearest degree). (c) For what value(s) of

\theta

will the turning moment be zero? Explain physically why this result is expected.