   Chapter 8, Problem 1P

Chapter
Section
Textbook Problem

A man opens a 1.00-m wide door by pushing on it with a force of 50.0 N directed perpendicular to its surface. What magnitude of torque does he apply about an axis through the hinges if the force is applied (a) at the center of the door? (b) at the edge farthest from the hinges?

(a)

To determine
The magnitude of torque he applies about an axis through the hinges if the force is applied at the center of the door.

Explanation

Given info: The width of the door is 1.00m and the force is 50.0N .

The formula for the magnitude of the torque is,

τ=rFsinθ

• r is the distance from hinges to the center of the door.
• F is the applied force.
• θ is the angle between applied force and the distance from hinges to center of the door.

Substitute (1.00/2)m for r , 50.0N for F , and 90° for θ to find F

(b)

To determine
The magnitude of the torque he applies about an axis through the hinges if the force is applied at the edge farthest from the hinge.

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