Total Acceleration of a Ball Whirled in Inclined Vertical Circle

AI Thread Summary
The total acceleration of a ball whirled in an inclined vertical circle is determined by both tangential and centripetal components. The tangential acceleration arises from the change in speed along the circular path, while the centripetal acceleration is directed towards the center of the circle. A free body diagram is essential to visualize the forces acting on the ball, including gravitational force and tension. The angles theta and phi are critical in calculating the components of acceleration with respect to the circle's geometry. Understanding these dynamics allows for a comprehensive analysis of the ball's motion in the inclined vertical circle.
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hmm.. I have a question.

If a ball is whirled in a vertical circle inclined from the horizontal axis

at angle \theta. what is the total acceleration of the ball?
 
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Show your works. You have to use a free body diagram here. Just find it with respect to theta and the angle phi that it makes with a fixed diameter in the circular path drawn by it.
 
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