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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 2 (24.08.2019)

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Question 1

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

Question 2

Mass is non uniformly distributed over the rod of length ‘η’. Its linear mass density varies linearly with length as η = kx. The position of centre of mass is given by–

Question 3

Two bodies of masses m1 and m2 are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 is

Question 4

A uniform thin rod AB of length L has linear mass density, where x is measured from A. If the CM of the rod lies at a distance of from A, then a and b are related as:

Question 5

The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is 1.1 Å. Given, mass of carbon atom is 12 a.m.u. and mass of oxygen atom is 16 a.m.u., calculate the position of the center of mass of the carbon monoxide molecule
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Aug 24JEE & BITSAT