Question

The drawing shows a version of the loop-the-loop trick for a small car. The radius of...

The drawing shows a version of the loop-the-loop trick for a small car. The radius of the loop = 0.48 m. What is minimum initial speed () that the car needs to have in order to remain in contact with the circular track at all times?

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Answer #1

If the car remains in contact with the loop at the top, it will remain in contact everywhere because the normal force at top is the least. We use this to find the minimum speed needed at the top and then use energy conservation principle to find the minimum initial speed as shown below

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