A block of mass m is placed on a wedge. The wedge can be accelerated in four manners marked as (1),

Question

A block of mass m is placed on a wedge. The wedge can be accelerated in four manners marked as (1), (2), (3) and (4) as shown. If the normal reactions in situation (1), (2), (3) and (4) are N₁, N₂, N₃ and N₄ respectively and acceleration with which the block slides down on the wedge in situations are b₁, b₂b₃ and b₄ respectively then :

Accepted Answer

(1)

Balancing forces perpendicular to incline N = mg cos37° + ma sin37°
N₁ = mg + ma
and along incline mg sin 37^o − ma cos 37^o = mb₁
b₁ = g − a
(2)

Similarly for this case get N₂ = mg − ma
and b₂ = g + a
N₂ = mg − ma
(3) Similarly for this case get N₃ = mg + ma
and b₃ = g + a
(4) Similarly for this case get N₄ = mg − ma
and b₄ = g − a

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