A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

Find a vector of magnitude 4 units in the direction fo the vector 2hati - hatj + 2hatk

Define moment of inerita of a rigid body capable of rotation about an axis. State its physical significance.

For uniform circular motion does the direction of the centripetal force depend on the sense of rotation (i.e., clockwise or anti-clockwise)?

If the earth stops rotating about its own axis, what is the effect on the value of weight of any object on the surface of earth?

Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?

A proton moving with velocity (10^7) m/s to enters a magnetic field of 1.5 T making an angle 30° with the direction of the field. Find the radius of the helical path and its frequency of rotational motion

A thin dielectric disc uniformly distritbuted with charge q has radius r and is rotated n times per second about an axis perpendicular to the disc and passing through the centre. Find the magnetic induction at the centre of the disc.

Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

When a mass is rotating in a plane about a fixed point its angular momentum is directed along