   Chapter 4, Problem 39P

Chapter
Section
Textbook Problem

A 150-N bird feeder is supported by three cables as shown in Figure P4.39. Find the tension in each cable. Figure P4.39

To determine
The tension in each cable.

Explanation

Section 1:

To determine: The tension in the left cable.

Answer: The tension in the left cable is 75 N.

Explanation:

Given Info: Weight of the bird feeder is 150 N.

The free body diagram is given below.

From the above diagram,

T2cos60ο=T1cos30οT1sin30ο+T2sin60ο=W                              (I)

• T1 and T2 are the tension in the right and the left cables respectively.
• W is the weight of the bird feeder.

From Equation (I),

T2=1.732T1                                                                (II)

Substitute Equation (II) in (I).

T1sin30ο+(1.732T1)sin60ο=W

On Re-arranging,

T1=Wsin30ο+(1.732sin60ο)

Substitute 150 N for W in the above expression to get T1

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