A rigid body is spinning about a fixed point (3,-2,-1) with an angular velocity of 4 rad/s, the axis of rotation being in the direction of (1,2,-2). Find the velocity of the particle at point (4,1,1).

A particle has an angular speed of 3 rad/s and the axis of rotation passes through the points (1,1,2)a n d(1,2,-2)dot Find the velocity of the particle at point P(3,6,4)dot

Find the distance between the points (1,2,4),(-1,-1,2)

What is the angular velocity of the minute hand of a clock in rad cdot s^(-1) ?

A particle starting from a point A and moving with a positive constant acceleration along a straight line reaches another point B is time T. Suppose that the initial velocity of the particle is u gt0 and P is the midpoint of the line AB. If the velocity of the particle at point P is v_(1) and if the velocity at time (T)/(2) is v_(2) , then -

A pellet of mass 1 gm is moving with an angular velocity of 1 rad/s along a circle of radius 'l' meter, the centrifugal force is

Moment of inertia of a disc is 100 g. cm^(2) . If the disc rotates with an angular velocity of 2 rad .s^(-1) the rotational kinetic energy of the disc is

Find the direction cosines of the straight line joining the points (4, -3, -1) and (1, -1, 5).

The ratio of the distances of a moving point from the points (3,4) and (1,-2) is 2:3 , find the locus of the moving point.

Find the distance between the pair of points (2, 3) and (4, 1)