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A light rod of length l has two masses m1​ and m2​ attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is A light rod of length l has two masses m1​ and m2​ attached to its two [...]

A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (Esphere/Ecylinder) will be. a circular hole of [...]

In the arrangement shown in the figure, find the tensions in the rope and accelerations of the masses m1 and m2 ​and pulleys P 1 ​ and P 2 ​ when the system is set free to move. Assume the pulleys to be massless and strings are light and inextensible. A pulley-rope-mass arrangement is shown [...]

Two rotating bodies A and B of masses m and 2m with moments of inertia IA​ and IB​ (IB​ IA​) have equal kinetic energy of rotation. If LA​ and LB​ be their angular moment a respectively, then: then Two rotating bodies A and B of masses m and 2m with moments of inertia IA​ and [...]

The lower end of a capillary tube of diameter 2.0 mm is dipped 8.00 cm below the surface of water in a beaker. What is the pressure required in the tube in order to blow a hemispherical bubble at its end in water? The surface tension of water at temperature of the experiments is 7.30×10−2Nm−1. [...]

A pulley-rope-mass arrangement is shown in fig. Find the acceleration of block m_(1) when the masses are set free to move. Assume that the pulley and the ropes are ideal. A pulley-rope-mass arrangement is shown in fig. Find the acceleration of block m_(1) when the masses are set free to move. Assume that the pulley [...]

From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre? a circular hole of diameter R From a disc of radius [...]

A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is LA​ when it is at A and LB​ when it is at B, then : A particle of mass m moves in the [...]

In the arrangement of three blocks as shown in Fig.6.135, the string is inextensible. If the directions of accelerations are as shown in the figure, then determine the constraint relation. In the arrangement of three blocks as shown in Fig.6.135 the string is inextensible. If the directions of accelerations are as shown in the figure [...]

A uniform tube closed at a one end, contains a pellet of mercury 10 cm long. When the tube is lept vertically with the closed-end upward, the length of the air column trapped is 20cm. Find the length of the air column trapped when the tube is inverted so that the closed-end goes down. Atmospheric [...]