A force in the +y direction applied at the point x = 2.3 m,y = 1.4 m gives rise to a torque of 71 N · m about the origin.Find the magnitude of the force.
A)31 N
B)51 N
C)71 N
D)87 N

Question

Quizplus · Accepted Answer

The torque τ is given by τ = r × F, where r is the position vector and F is the force. Here, τ = 71 N·m, r = (2.3 m, 1.4 m), and F is in the +y direction. The torque is calculated as τ = r_x * F_y, so 71 = 2.3 * F. Solving for F gives F = 71 / 2.3 = 31 N.

A Force in the +Y Direction Applied at the Point