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Vertical Circular Motion.

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Suppose the surface (radius = r) of the space station in Figure 5.19 is rotating at 33.8 m/s. What must be the value of r for the astronauts to weigh one-half of their earth weight?

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https://brainmass.com/physics/circular-motion/vertical-circular-motion-problem-135068

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Vertical circular motion is discussed.

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Motion on a vertical circle.

This problem is a three-parter. Here we go:

A stunt man whose mass is 72.7 kg swings from the end of a 4.51 m long rope along the arc of a vertical circle.

1.) Assuming he starts from rest when the rope is horizontal, find the tension in the rope that is required to make him follow his circular path at the beginning of his motion.

2.) Find the tension in the rope of at a height of 1.60 m above the bottom of the circular arc.

3.) Find the tension in that rope at the bottom of his arc.

I'd be grateful for any help. Thank you so much.

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