   Chapter 8, Problem 6CQ

Chapter
Section
Textbook Problem

A person stands a distance R from a door’s hinges and pushes with a force F directed perpendicular to its surface. By what factor does the applied torque change if the person’s position and force change to (a) 2R and 2F, (b) 2R and F, (c) R and F/2, (d) R/2 and F/2?

(a)

To determine
The factor by which the torque changes when the person’s position and force changes to 2R and 2F.

Explanation

Formula to calculate the torque is,

τ=r×F

• F is the applied force

(b)

To determine
The factor by which the torque changes when the person’s position and force changes to 2R and F.

(c)

To determine
The factor by which the torque changes when the person’s position and force changes to R and F/2.

(d)

To determine
The factor by which the torque changes when the person’s position and force changes to R/2 and F/2.

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