Acceleration in non-uniform circular motion

AI Thread Summary
In non-uniform circular motion, centripetal acceleration cannot be zero, as this would imply the absence of centripetal force, causing the object to cease circular motion. Tangential acceleration, however, can be zero at specific points, such as the peak positions of a pendulum, where the speed is momentarily zero. The discussion highlights that while centripetal acceleration remains constant, tangential acceleration varies with speed changes. For a frictionless piece of ice in a semi-circular bowl, it experiences non-zero centripetal acceleration at all times, with zero tangential acceleration only at its peak positions. Understanding these dynamics is crucial for solving related physics problems effectively.
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In a non-uniform circular motion (for example a pendulum), can the centripetal/radial acceleration ever be 0? Likewise, can the tangential acceleration ever be 0?

The centripetal acceleration occurs because of the centripetal force, which causes the body (in the example of the pendulum, the bob is the body) to continue moving in its path. So if the centripetal acceleration is 0, then doesn't that imply that the centripetal force is 0, which means that the object would stop going in a circular path? So is it correct to say that the centripetal acceleration is never 0 in a non-uniform circular motion?

As for the tangential acceleration, it is caused by a change in speed of the body. So, in the pendulum example, since the bob has 0 speed at its peak positions, would it have 0 tangential acceleration only at its peak positions? NOTE: Peak position = the maximum position that a pendulum will attain before swinging down again.

I am asking because I am having trouble figuring out a (simple) physics question, which asks at which positions a frictionless piece of ice moving in a semi-circular bowl have 0 centripetal acceleration, but non-zero tangential acceleration. So if I am correct, then that would mean that the piece of ice has a non-zero centripetal acceleration at all times, and it has 0 tangential acceleration at its peak positions?
 
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