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Physics Question - Acrobat Swinging On Rope

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Bri MT:
No worries!

It's the first option:

Centripetal force = tension - mg

Or in other words, tension = centripetal force + mg

What's happening here is that their arm is inded pulling down on the rope due to gravity & this contributes to the tension in the rope. This is already part of the 1450 N. Option 1 balances out the component of the upwards tension that's opposing their weight with their weight.

If this is confusing, consider the case where they are at rest hanging from the rope. You would not be able to get F=0 by adding T and mg together; one of the forces needs to be negative

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