Chapter 8, Problem 5P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Figure P8.4Calculate the net torque (magnitude and direction) on the beam in Figure P8.5 about (a) an axis through O perpendicular to the page and (b) an axis through C perpendicular to the page.Figure P8.5

(a)

To determine

The net torque on the beam about an axis through O perpendicular to the page.

Explanation

Given info: The length of the beam is 4.0â€‰m, the distance between points O and C is 2.0â€‰m, the forces on the beam are 25â€‰N, 10â€‰N, and 30â€‰N with respect to 30Â°, 20Â°, and 30â€‰N as shown in the figure.

The following figure shows the forces on the beam.

For net torque on the beam about an axis O, the perpendicular components of forces on the beam are multiplied with their corresponding locations.

The formula for the net torque on the beam is,

âˆ‘Ï„=aF1cosÎ¸1âˆ’bF2sinÎ¸2

• a is the distance between points O and C.
• b is length of the beam.
• F1,â€‰F2 are forces on the beam.
• Î¸1 and Î¸2 are angles of forces.

Substitute 25â€‰N for F1, 10â€‰N for F2, 30Â° for Î¸1, 20Â° for Î¸2, 2

(b)

To determine

The net torque on the beam about an axis through C perpendicular to the page.

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