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Fig. P7.89

Question

The woman is trying to move the crate of weight W by pulling on the rope at the angle θ to the horizontal. Find the smallest possible tension that would cause the crate to slide and the corresponding angle θ.

Fig. P7.89
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Fig. P7.89

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Step 1

Consider the free body diagram of the crate.

Toine
T
N
न्
SN
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Toine T N न् SN

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Step 2

Consider the equilibrium of force in horizontal direction.

ΣΕ-0
Tcosθ - μ.Ν = 0
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ΣΕ-0 Tcosθ - μ.Ν = 0

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Step 3

Consider the equilibrium of forc...

ΣΕ-0
Tsin θ + N-W =0
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ΣΕ-0 Tsin θ + N-W =0

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