Chapter 8, Problem 27P

### 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

# A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated by the blue vectors in Figure P8.27. Find the tension in each rope when a 700.-N person is d = 0.500 m from the left end.Figure P8.27

To determine
The tension on each rope.

Explanation

Given info: The length of the plank (l) is 2.00 and Â mass of the plank (m) is 30.0 kg.

Explanation:

The free body diagram is,

The torque on the left edge about an axis perpendicular to the page is zero. Therefore,

(700â€‰N)d+(294â€‰N)(l2)=(T1sin40Î¿)l

Substitute 2.00 m for l and 0.500 m for d.

(700â€‰N)(0.500â€‰m)+(294â€‰N)(2.00â€‰m2)=(T1sin40Î¿)(2.00â€‰m)

Rearrange the expression to find the value of T1 .

T1=(700â€‰N)(0.500â€‰m)+(294â€‰N)(2.00â€‰m2)(sin40Î¿)(2

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