First slide

Pseudo force

Question

A block is kept on a frictionless inclined surface with angle of inclination ' $α$ '. The incline is given an acceleration 'a' to keep the block stationary. Then a is equal to

Moderate

A

g
B

g tan $α$
C

$\frac{g}{\tan α}$
D

g cosec $α$

Solution

Let the mass of a block is m. It will remain stationary if forces acting on it are in equilibrium i.e., $ma \cos α \Rightarrow ma \sin α \Rightarrow a = g \tan α$
Here $mg sin α = Pseudo force on block, mg = Weight$

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