A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg mass by a thin, light wire that passes over a frictionless pulley, as shown. The pulley is a uniform solid disk of mass 2.00 kg and with a diameter of 0.500 m. After the system is released form rest, fnd (a) the magnitude of the tension in the wire on both sides (Hint: they are not the same!) (b) the acceleration of the box (c) the horizontal and vertical components of the force that the axle of the pulley exerts on the pulley
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 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg mass by a thin, light wire
that passes over a frictionless pulley, as shown. The pulley is a uniform solid disk of mass 2.00 kg and with a
diameter of 0.500 m. After the system is released form rest, fnd
(a) the magnitude of the tension in the wire on both sides (Hint: they are not the same!)
(b) the acceleration of the box
(c) the horizontal and vertical components of the force that the axle of the pulley exerts on the pulley
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