A hollow sphere (M = 3.0kg and R = 60cm) is rolling down an inclined surface with a height of 2.0 meters and an inclined angle of 25 degrees. 1. Find the linear acceleration of the sphere in m/sec2 2. For the sphere to make pure rotation, find the magnitude of the static frictional coefficient μs Already found values: Moment of Inertia: .72kgm2 Speed of center of mass when it reaches bottom of the hill: 4.84 m/s Total rotational kinetic energy at the bottom: 23.52 J
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.
A hollow sphere (M = 3.0kg and R = 60cm) is rolling down an inclined surface with a height of 2.0 meters and an inclined angle of 25 degrees.
1. Find the linear acceleration of the sphere in m/sec2
2. For the sphere to make pure rotation, find the magnitude of the static frictional coefficient μs
Already found values:
Moment of Inertia: .72kgm2
Speed of center of mass when it reaches bottom of the hill: 4.84 m/s
Total rotational kinetic energy at the bottom: 23.52 J
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