This doesn't qualify as an attempt at solution, so PF isn't allowed to help...Zoubayr said:I am not understanding how to even start the question
Oops, not thinking, too fast, etc...haruspex said:Not sure how it helps to replace A with ##\gamma##.
Motion with time-dependent angular acceleration refers to the movement of an object around a fixed axis where the angular acceleration changes over time. This type of motion is commonly seen in objects like spinning tops, planets orbiting around a star, or a pendulum swinging back and forth.
Angular acceleration is a measure of how an object's angular velocity changes over time, while linear acceleration is a measure of how an object's linear velocity changes over time. In other words, angular acceleration describes how fast an object is rotating, while linear acceleration describes how fast an object is moving in a straight line.
The angular acceleration of an object can be affected by several factors, including the object's mass, the distance from the axis of rotation, and the applied torque. Additionally, any changes in these factors over time can also cause the angular acceleration to vary.
Angular acceleration and angular velocity are closely related, as angular acceleration is the rate of change of angular velocity. In other words, angular acceleration is the slope of the angular velocity vs. time graph. A higher angular acceleration means the object is rotating faster, while a lower angular acceleration means the object is rotating slower.
Yes, an object can have a constant angular acceleration if the factors affecting it do not change over time. For example, a ball rolling down a frictionless slope will have a constant angular acceleration as long as the slope and the ball's mass remain the same. However, in most cases, the angular acceleration will vary as the factors affecting it change over time.