The pole AB is held up by the rope attached to B . The magnitude of the force in the rope is T = 240 lb . Determine P and Q , the components of T that are parallel and perpendicular to AB , respectively. | bartleby

International Edition---engineerin...

4th Edition

Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

ISBN: 9781305501607

Chapter 1, Problem 1.24P

Textbook Problem

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The pole AB is held up by the rope attached to B. The magnitude of the force in the rope is T = 240 lb . Determine P and Q, the components of T that are parallel and perpendicular to AB, respectively.

To determine

The components of force, T that are parallel and perpendicular to AB.

Explanation of Solution

T=240 lb.

Calculation:

First, we can draw the force triangle for given information.

Here, P is the component of T that parallel to AB, and Q is the component of T that perpendicular to AB.

T=P+Q.

From this figure,

∠X=30°∠Y=90°∠Z=180°−(30°+90°) =60°

By applying law of sines,

Tsin90°=Psin60°=Qsin30°Tsin90°=Psin

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Chapter 1 Solutions

International Edition---engineering Mechanics: Statics, 4th Edition

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