SPRM Questions

A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ____ kg.m².

A ring of mass m and radius R rolls on a horizontal rough surface without slipping due to an applied force ‘F’. The friction force acting on ring is :

A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m², then applied torque (in newton-metre) is

The moment of inertia of a square lamina about an axis passing through its centre and along one of its diagonal is (The square lamina has mass M and side L)

From a uniform circular disc of mass M and radius R a small circular disc of radius R/3 has been cutout as shown. The centre of mass of the original disc shifts by a distance.

The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is . The magnitude of the areal velocity of the planet is:

A Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass m and has another weight of mass 2 m hung at a distance of 75 cm from A. The

A wheel of mass 2 kg, having practically all the mass concentrated along the circumference of a circle of radius 20 cm, is rotating on its axis with an angular velocity of 100 rad/s. The rotational kinetic energy of the wheel is :

A uniform thin ring of mass M and radius R is placed on a disc of mass 2M such that ring passes through center. Distance of COM from disc center is:

A uniform circular hoop of mass 3m and radius R rotates freely about its central axis with an initial angular velocity ω₀ . Two small beads, each of mass m , are gently attached to diametrically opposite points on its rim. What is the new angular vel