relation between linear and angular velocity

? In fact, one cannot have angular acceleration without external forces. Then, what is the relation between the force and the angular acceleration? We find that even if the resultant external force is zero, we may have angular acceleration. We also find that ..

Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps changing its position. Thus, we can def..

Angular momentum bears the same relation to linear momentum that torque does to forc..

of this particle with respect to the origin O is a vector quantity defined as where is the position vector of the particle with respect to O. As the particle moves relative to O in the direction of its momentum position vector rotates around O. To have angular momentum about O, ..

Velocity - Figure below gives different routes that Jack can choose from his house to school. Jack goes regularly to school by car, with an average speed of 60 km/hr. Is it possible to find out the time required to reach the destination? Yes, you can definitely find out the time using the..

Velocity - Figure below gives different routes that Shyam can choose from his house to schoo..

of the system remains constant, no matter what changes take place within the system. Next, we consider a rigid body rotating about an axis AB. Let the angular velocity of the body be w . Consider the i t h particle going in a circle of radius r i , with its plane perpendicular t..

Kepler's second law - Consider a particle A having linear momentum and radius vector with respect to the origin as given in the figure. After a time D t, the particle is at B and the radius vector becomes + D . The velocity of the particle has a radial component v r and an ..

Integrating the above equation and applying the limits which are at s = 0, initial velocity = u after a distance s has been covered, the final velocity = ..

Angular velocity - Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps chang..