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Normal Force

Two blocks ar...

Question

Two blocks are kept in contact as shown in the figure.
Find the value of normal force exerted by the vertical wall on $20 k g$ block. (Assume all surfaces are smooth)
$(Take g = 10 {m/s}^{2})$

A

200 N

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B

100 N

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C

25 N

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D

75 N

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Solution

The correct option is D $75 N$
FBD of $10 kg$ block

$N_{1} = 10 g = 100 N$ ... (1)
$N_{2} = 100 N$ ... (2)

FBD of $20 kg$ block

$N_{2} = 50 sin 30^{\circ} + N_{3}$
$∴ N_{3} = N_{2} - 50 sin 30^{\circ} = 100 - 25 = 75 N$ ... (3)

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