System of Parti...

A gun of mass $$M$$, frees a shell of mass $$m$$ horizontally and the energy of explosion is such as would be sufficient to project the shell vertically to a height '$$h$$'. The recoil velocity of the gun is:

The ratio of the radii of gyration of a hollow sphere and a solid sphere of the same masses and radii about an axis passing through their centre is 

A constant torque is applied to a rigid body, whose moment of inertia is $$4 kg-m^2$$ around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20 rad/s in 10 s, what is the applied torque

A ring of mass m and radius r rolls on an inclined plane. A torque is produced in the ring due to

Three objects of same mass but different geometries, capable of rotating have radius of gyration as 0.2, 0.5 and 0.7. A torque is applied to these objects when they are rotating with constant angular velocity. Which object will have a larger response time for showing the change in their angular velocity

Statement related to center of gravity that is incorrect is

In the image shown . AC is a rigid rod of length 12 cms rotating about point P, whose velocities are shown in the figure. Find the distance PC = x

Which of the below statement is correct

A jar filled with two non mixing liquids $$1$$ and $$2$$ having densities $$\rho_{1}$$ and $$\rho_{2}$$ respectively. A solid ball, made of a material of density $$\rho_{3}$$, is dropped in the jar. It comes to equilibrium in the position shown in the figure

A wheel having moment of inertia $$4\ kg\ {m}^{2}$$ about its symmetrical axis, rotates at rate of $$240$$ rpm about it. The torque which can stop the rotation of the wheel in one minute is: