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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 1 (21.08.2019)

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Question 1

A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB. such that the object has only the translational motion without rotation. Find the location of P with respect to C

Question 2

Three masses 2 kg, 3 kg and 4 kg are lying at the corners of an equilateral triangle of side ℓ. The (X) coordinate of center of mass is –

Question 3

A circular disc of radius R is removed from a bigger disc of radius 2R such that the circumferences of the discs coincide. The center of mass of the new disc is aR from the center of the bigger disc. The value of a is

Question 4

Consider a two particle system with particles having masses m₁ and m₂. If the first particle is pushed towards the center of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position

Question 5

Distance of the center of mass of a solid uniform cone from its vertex is z₀. If the radius of its base is R an its height is h then z₀ is equal to

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Apr 1JEE & BITSAT