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Class XI Physics System of Particles & Rotational Motion 2

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Question 1

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is

Question 2

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively I_A and I_B such that Where d_A and d_B are their densities.

Question 3

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through O. The rod is allowed to rotate from rest from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle θ is –

Question 4

A rod of mass M kg and length L metre is bent in the form of an equilateral triangle as shown in the figure. The moment of inertia of triangle about a vertical axis, perpendicular to the plane of triangle and passing through the centre (in units of kg-m²) is–

Question 5

Three thin uniform rods each of mass M and length L and placed along the three axis of a Cartesian coordinate system with one end of each rod at the origin. The M.I. of the system about z-axis is-

Question 6

In an arrangement four particles, each of mass 2 gram are situated at the coordinate points (3, 2, 0), (1, –1, 0), (0, 0, 0) and (–1, 1, 0). The moment of inertia of this arrangement about the Z-axis will be-

Question 7

A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –

Question 8

A system of two particle move under the influence of mutual gravitational attraction. If represent the linear momentum and the angular momentum, then the correct formulae are-

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Mar 26JEE & BITSAT