Question
Asked Nov 8, 2019
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The coefficient of static friction between A and C and between B and D is μs = 0.24, and between A and B is μs′ = 0.15. Neglect the weight of each wedge. (Figure 1)

Determine the horizontal force P needed to pull out wedge A.
Express your answer to three significant figures and include the appropriate units.
3000 lb
В
150
P
A
С
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3000 lb В 150 P A С

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Expert Answer

Step 1

Consider ND as the normal force by the wall D on block B, fD as the friction force due to surface B, fB as the friction force due to surface A, and NB as the normal force due to block A.

 

Draw the free body diagram of block B.

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3 000 b z

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Step 2

Calculate the friction force fD.

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0.24N Similarly, calculate the friction force f 0.15N

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Step 3

Equate the forces in ver...

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ΣΕ-0 N cos 15°+ fp-3000 Ib+ f sin15° = 0 N2 cos15° 0.24N,-3000 Ib+0.15N, sin15° = 0 1.00475 Ng+0.24Np-3000 lb 0 Similarly, equate the forces in horizontal direction. ΣΕ-0 N sin 15°-N-fcos 15° = 0 Ng sin15°-N-0.15N, cos 15° = 0 0.258819045N-N-0.144888873N, 0 0.11390172Ng N (1) (2)

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