The rope shown in Figure below is wound around a cylinder of mass 4.0 kg and I = 0.020 kg m2, about the cylinder axis. If the cylinder rolls without slipping, (a)what is the linear acceleration of its center of mass? What is the frictional force? Use an axis along the cylinder axis for your computation. (b) What happens if the frictional force between table and cylinder is negligible? Choose any axis tor your computation.
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 rope shown in Figure below is wound around a cylinder of mass 4.0 kg and I = 0.020 kg m2, about the cylinder axis. If the cylinder rolls without slipping,
(a)what is the linear acceleration of its center of mass? What is the frictional force? Use an axis along the cylinder axis for your computation.
(b) What happens if the frictional force between table and cylinder is negligible? Choose any axis tor your
computation.
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