A solid cylinder of mass M and radius R rolls without slipping down and inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches […]
The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its plane is I. Then the moment of Inertia of the disc about an axis parallel […]
The angular velocity of a wheel increases from 100 rps to 300 rps in 10 seconds. The number of revolutions made during that time is
Options
(a) 600 (b) 1500 (c) 1000 (d) […]
A force F=ai+3j+6k is acting at a point r=2i-6j-12k. The value of α for which angular momentum about origin is conserved is
Options
(a) 2 (b) zero (c) 1 (d) -1
Correct Answer: […]
Point masses m₁ and m₂ are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The […]
An automobile moves on a road with a speed of 54 km h⁻¹. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is […]
Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX’ which is touching to two shells and passing through diameter of third shell. Moment […]
A rod of weight W is supported by two parallel knife edges A and B is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of […]
A mass m moves in a circle on a smooth horizontal plane with velocity v₀ at a radius R₀. The mass is attached to string which passes through a smooth hole in the plane as […]
Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis through A and parallel to BD […]
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