First slide

Mechanical equilibrium force cases

Question

A block on table (weight 40 N) shown in figure is just on the wedge of slipping. Find the coefficient of static friction between the block and table (weight of the hanging mass is 60 N )

Moderate

A

0.35
B

0.46
C

0.866
D

0.54

Solution

from the diagram at limiting equilibrium $T \sin 30^{0} = μ 40 - - - (1) a n d T \cos 30^{0} = 60 - - - - (2)$
dividing $(1)$ by $(2)$ $\tan 30^{0}$ = $\frac{2}{3} μ$

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