We wrap a light, flexible cable around a solid cylinder with mass 0.51 kg and radius 0.29 m. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass 1.94 kg and release the object with no initial velocity at a distance 1.98 m above the floor. As the block falls, the cable unwinds without stretching or slipping, turning the cylinder. Suppose the falling mass is made of ideal rubber, so that no mechanical energy is lost when the mass hits the ground.

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.