Questions
A block of mass m is placed on a smooth inclined wedge ABC of inclination as shown in the figure. The wedge is given an acceleration a towards the right. The relation between a and for the block to remain stationary on the wedge is
detailed solution
Correct option is D
According to the question, the free body diagram of the given condition will beSince, the wedge is accelerating towards right with a, thus a pseudo force acts in the left direction in order to keep the block stationary. As, the system is in equilibrium.∴ ∑Fx = 0 or ∑Fy = 0⇒ R sinθ = ma .....(i)Similarly R cosθ = mg .....(ii)Dividing Eq. (i) by Eq (ii), we getR sinθR cosθ = mamg⇒ tanθ = ag or a = g tanθ∴ The relation between a and 9 for the block to remain stationary on the wedge is a = g tanθ.Similar Questions
A uniform sphere of weight W and radius 3 m is being held by a string of length 2m.attached to a frictionless wall as shown in the t figure. The tension in the string will be:
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