System of Particles and Rotational Motion

JEE Main 2024 (Online) 27th January Morning ShiftNumericalEasy📈 Topic in 19% papers+4

Ques. 1JEE Main 2024, 27 January (Morning Shift)

Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is kg m2. [figure]

Answer

Solution

[figure]

I = mr2; distances from O: 0, a, a, 2 a

I = m(0 + a2 + a2 + 2a2) = 4ma2

= 4 1 (2)2 = 16 kg m2

Answer: 16

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Ques. 2JEE Main 2024, 27 January (Evening Shift)

A heavy iron bar of weight 12 kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60 with the horizontal, the weight experienced by the man is :

3 kg
6 kg
6 3 kg
12 kg

Ques. 3JEE Main 2024, 27 January (Evening Shift)

A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is 7x, where x is .

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