A spherical metal ball of radius 15 cm is rolling down a ramp without slipping. The ramp makes angle 30 degrees with the horizontal. Calculate the center-of-mass accelaration of this spherical ball. Acceleration due to gravity is 9.80 m/s^2. Please try to use Newton's 2nd law for both translation and rotation.
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 spherical metal ball of radius 15 cm is rolling down a ramp without slipping. The ramp makes angle 30 degrees with the horizontal. Calculate the center-of-mass accelaration of this spherical ball. Acceleration due to gravity is 9.80 m/s^2. Please try to use Newton's 2nd law for both translation and rotation.
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