List of top Physics Questions on Systems of Particles and Rotational Motion

If a rope wound around a solid cylinder is allowed to unwind by holding the free end of the rope, then the acceleration with which the cylinder falls down is

A rectangular door of mass \(18\,\mathrm{kg}\) and width \(90\,\mathrm{cm}\) is hinged at one end and can rotate about the vertical axis without friction. A bullet of mass \(15\,\mathrm{g}\) fired with a speed of \(450\,\mathrm{m\,s^{-1}}\) into the door gets embedded exactly at the center of the door. The angular speed of the door just after the bullet gets embedded is

The centre of a thin uniform circular plate A of circumference 88 cm lies at the origin. From the plate A, a circular portion B of radius 3.5 cm is removed such that the centre of mass of the removed portion is at (5 cm, 5 cm). The distance between the centre of plate A and the centre of mass of the remaining portion is

Six particles each of mass 100 g are placed at the six vertices of a regular hexagon of side $10\sqrt{3}$ m. The moment of inertia of the system of particles about an axis passing through any two diagonally opposite vertices of the hexagon is

The ratio of the masses of two thin uniform circular discs made of same material having same thickness is 4:9. The ratio of the moments of inertia of the two discs about their diameters is

A uniform metre scale of mass 700 g is suspended horizontally using two strings tied at 20 cm and 70 cm marks on the scale. The tension in the string at 70 cm mark is (Acceleration due to gravity = 10 m/s$^2$):