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Byju's Answer

Standard XII

Physics

Angle of Repose

Two identical...

Question

Two identical blocks of weight W are placed one on top of the other as shown in figure. The upper block is tied to the wall. The lower block is pulled to the right with a force F. The coefficient of static friction between all surfaces in contact is $μ$ . What is the largest force F that can be exerted before the lower block starts to slip?

μ W

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2 μ W

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3 μ W

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4 μ W

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Solution

The correct option is B $3 μ W$
As shown in fig.

$N_{1} = W$

$N_{2} = W + W = 2 W$

$f_{1} = μ N_{1} = μ W$

$f_{2} = μ N_{2} = 2 μ W$

If $F$ is able to ship the lower block

Then,
$F = f_{1} + f_{2} = μ W + 2 μ W = 3 μ W$

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The correct option is B 3μWAs shown in fig.N1=WN2=W+W=2Wf1=μN1=μWf2=μN2=2μWIf F is able to ship the lower blockThen,F=f1+f2=μW+2μW=3μW

The correct option is B $3 μ W$
As shown in fig.

$N_{1} = W$

$N_{2} = W + W = 2 W$

$f_{1} = μ N_{1} = μ W$

$f_{2} = μ N_{2} = 2 μ W$

If $F$ is able to ship the lower block

Then,
$F = f_{1} + f_{2} = μ W + 2 μ W = 3 μ W$