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Two 8° wedges of negligible weight are used to move and position and block position a 530-Ib block Knowing that the coefficient of static friction is 0.40 at all surfaces of contact, determine the magnitude of the force P for which motion of the block is impending.

Question-Answer › Category: Engineering Mechanics › Two 8° wedges of negligible weight are used to move and position and block position a 530-Ib block Knowing that the coefficient of static friction is 0.40 at all surfaces of contact, determine the magnitude of the force P for which motion of the block is impending.
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S cornwell asked 1 year ago

Two 8° wedges of negligible weight are used to move and position and block position a 530-Ib block  Knowing that the coefficient of static friction is 0.40 at all surfaces of contact, determine the magnitude of the force P for which motion of the block is impending.

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Sazid Ahmad answered 1 year ago

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Step: 1

Free body diagram for block:

 

Step: 2

Given:
Coefficient of static friction, 
From equilibrium equations


 …… (1)

 

Step: 3



 …… (2)

 

Step: 4

So, by solving (1) and (2) we get
 and




 

Step: 5

Free body diagram for wedge:

 

Step: 6

From equilibrium equation






 

Step: 7





The magnitude of force is 

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