Class 11

Physics

Mechanics

System Of Particles

The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio $1:8$ is

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The uniform $120N$ board shown in figure is supported by two ropes. A $400N$ weight is suspended one-fourth of the way from the left end. Choose the correct options

A uniform sphere has radius $R.$ A sphere of diameter $R$ is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A ballet dancer spins about a vertical axis at 60 rpm with his arms closed. Now he stretches his arms such that M.I. Increases by $50%.$ The new speed of revolution is

Four identical particles each of mass $m$ are arranged at the corners of a square of side length $L.$ If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

Six identical particles each of mass $m$ are arranged at the corners of a regular hexagon of side length $L.$ If the mass of one of the particle is doubled, the shift in the centre of mass is

A circular disc of radius $20cm$ is cut from one edge of a larger circular disc of radius $50cm.$ The shift of centre of mass is

As shown in figure from a uniform rectangular sheet a triangular sheet is removed from one edge. The shift of centre of mass is

The position of axis of rotation of a body is changed so that its moment of inertia decreases so that its moment of inertia decreases by $36%.$ The $%$ change in its radius of gyration is