The figure shows a 5-kg solid homogeneous cylinder resting on an incline. De- termine (a) The lowest coefficient of friction between the cycling and the plane for which the cylinder will roll without slipping starting from rest. (b) The acceleration of the centre of the cylinder when it rolls without slipping. (Draw FBDs)
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.
The figure shows a 5-kg solid homogeneous cylinder resting on an incline. De-
termine
(a) The lowest coefficient of friction between the cycling and the plane for which
the cylinder will roll without slipping starting from rest.
(b) The acceleration of the centre of the cylinder when it rolls without slipping.
(Draw FBDs)
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