A solid sphere with a diameter of 0.17 m is released from rest; it then rolls without slipping down a ramp, dropping through a vertical height of 0.61 m. The ball leaves the bottom of the ramp, which is 1.22 m above the floor, moving horizontally. a) Through what horizontal distance d does the ball move before landing? b) How many revolutions does the ball make during its fall? c) If the ramp were to be made frictionless, would the distance d increase, decrease, or stay the same? Explain.
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 solid sphere with a diameter of 0.17 m is released from rest; it then rolls without slipping down a
ramp, dropping through a vertical height of 0.61 m. The ball leaves the bottom of the ramp, which is
1.22 m above the floor, moving horizontally. a) Through what horizontal distance d does the ball move
before landing? b) How many revolutions does the ball make during its fall? c) If the ramp were to be
made frictionless, would the distance d increase, decrease, or stay the same? Explain.
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