Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question

Question

A couple consists of two forces of 75 N each, acting on a wheel. The forces are parallel, opposite in direction, and their lines of action are 0.4 m apart. What is the torque exerted by this couple?
Options
A 15 Nm
B 30 Nm
Correct Answer
C 60 Nm
D 187.5 Nm
Correct Answer

Option B is the correct answer.

Detailed Explanation

The torque produced by a couple is calculated as the product of one of the forces and the perpendicular distance between them. Here, τ = Force × distance = 75 N × 0.4 m = 30 Nm.

Hint

Apply the formula for the moment of a couple: τ = F × d, where d is the separation distance.

Question Info