Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question

Question

If a force F acts at the edge of a pulley of radius r, causing it to rotate through an angle θ, and the point of application moves a distance s along an arc, what is the relationship between s, r, and θ?
Options
A s = θ / r
B s = r θ
Correct Answer
C θ = s r
D r = s θ
Correct Answer

Option B is the correct answer.

Detailed Explanation

The arc length s along a circle is related to the radius r and the angle θ (in radians) subtended at the centre by the equation s = rθ. This is a fundamental geometric relationship for rotational motion.

Hint

Recall the definition of an angle in radians: angle = arc length / radius.

Question Info