C3-28 A50-kg lad is susperied fnom a pulley as stewn in Fig. P3 28. The tension in the flexible cable dnes not change as it paaNes aruLand he small frictionless puleye. and the wright af the cahle may he neglected. I'lot the kerce Prequired for equilibr.um as a function of the seg distanee 0d=1 r. Determine the minimurI sag fur which Pis lese than a. Twice the weight sf the kead. b. Four times the weight of the Iad. c bight tizmes the weight of Uhe load. rig. P3-20

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.29P: If the input force to the compound lever is P = 30 lb, calculate the output force Q.
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C3-28 A50-kg lad is susperied fnom a pulley as stewn
in Fig. P3 28. The tension in the flexible cable dnes not
change as it paaNes aruLand he small frictionless puleye.
and the wright af the cahle may he neglected. I'lot the kerce
Prequired for equilibr.um as a function of the seg distanee
0d=1 r. Determine the minimurI sag fur which
Pis lese than
a. Twice the weight sf the kead.
b. Four times the weight of the Iad.
c bight tizmes the weight of Uhe load.
rig. P3-20
Transcribed Image Text:C3-28 A50-kg lad is susperied fnom a pulley as stewn in Fig. P3 28. The tension in the flexible cable dnes not change as it paaNes aruLand he small frictionless puleye. and the wright af the cahle may he neglected. I'lot the kerce Prequired for equilibr.um as a function of the seg distanee 0d=1 r. Determine the minimurI sag fur which Pis lese than a. Twice the weight sf the kead. b. Four times the weight of the Iad. c bight tizmes the weight of Uhe load. rig. P3-20
Expert Solution
Step 1

Draw the free-body diagram of the block.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Write the expression of the static force equilibrium in the x-direction.

Mechanical Engineering homework question answer, step 2, image 1

Write the trigonometric relation of angle θ.

Mechanical Engineering homework question answer, step 2, image 2

Step 3

Write the expression of the static force equilibrium in the x-direction.

Mechanical Engineering homework question answer, step 3, image 1

Understand that the tension in the cable is equal to the load applied. Thus,

Mechanical Engineering homework question answer, step 3, image 2

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