A fighter pilot dives his plane toward the ground at 230 m/s. He pulls out of the dive on a vertical circle. What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?

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The greatest normal force on the pilot occurs at the lowest point on the circular path. At this point, the speed v = 230 m/sec is ...

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The greatest normal force on the pilot is discovered.

A bead can slide without friction on a circular hoop with a radius of .100 m in a vertical plane. The hoop rotates at a constant rate of 3.00 rev/s about a vertical diameter.
a) find the angle θ at which the bead is a vertical equilibrium.
b) is it possible for the bead to "ride" at the same elevation as the center o

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I'm having a tough time understanding the simple elements of circularmotion and the force vectors (horizontal, vertical and normal) that results from this motion.
Please explain in simple terms if possible.
See attached.

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(I don

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_____N +_____N
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