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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 12 (28.09.2019)

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Question 1

A cubical block of side L rests on a rough horizontal surface with coefficient of friction μ. A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

Question 2

A uniform ladder of length L rests against a smooth frictionless wall. The floor is rough and the coefficient of static friction between the floor and ladder is µ. When the ladder is positioned at angle θ, as shown in figure, it is just about to slip. The angle θ is-

Question 3

A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same Kinetic Energy E0, energy of explosion will be:

Question 4

A cylinder of mass and sphere of mass are placed at points A and B of two inclines, respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then the ratio is :

Question 5

A hollow sphere of mass M and radius R is released from rest at point P on a track in the vertical plane. The track is rough enough to support rolling between P and O and from O onwards it is smooth. The maximum height attained by the sphere from the ground on its journey from O onwards is :

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Sep 30JEE & BITSAT