First slide

Different types of Forces

Question

ln the figure shown 'P' is a plate on which a wedge B is placed and on B a block A of mass m is placed. The plate is suddenly removed and system of B and A is allowed to fall under gravity. Neglecting any force due to air on A and B, the normal force on A due to B is

Moderate

A

$\frac{mg}{\cos θ}$
B

$mg \cos θ$
C

zero
D

$\frac{2 mg}{\cos θ}$

Solution

F.B.D. of block A
Applying Newton's second law for block A in vertical direction
$m_{A} g - N \cos θ = 0$
where $θ$ is the angle of the wedge
$\Rightarrow N \cos θ = 0$
as $θ < 90^{0} ∴ N = 0$

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