RE-NEET Physics System Of Particles And Rotational Motion Class 11 Questions

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere B of radius r < R and mass m < M. Assume that the line joining their centres lies along the horizontal. The moment of inertia of the system calculated about a vertical axis passing through the centre of A is Iₐ and that calculated about a vertical axis passing through the centre of B is Iᵦ. The difference Iₐ - Iᵦ is:

A thin horizontal disc is rotating about a vertical axis passing through its fixed centre O. Its angular momentum is Lₐ and Lᵦ computed about points A and B, respectively, with OB = 2 × OA. The value of Lₐ/Lᵦ is:

The radius of gyration of a solid sphere of mass 5 kg about XY is 5 m as shown in figure. The radius of the sphere \( \frac{5x}{\sqrt{7}} \) m, then the value of x is: