Centripetal Forces Video Lessons

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Problem: Gibbons, small Asian apes, move by brachiation, swinging below a handhold to move forward to the next handhold. A 9.0 kg gibbon has an arm length (hand to shoulder) of 0.60 m. We can model its motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of its swing, the gibbon is moving at 3.2 m/s .What upward force must a branch provide to support the swinging gibbon?Express your answer to two significant figures and include the appropriate units.

FREE Expert Solution

Newton's second law:

ΣF=ma

Centripetal force:

Fc=mv2r

a = centripetal acceleration. The net force is equal to the centripetal force.

The centripetal force acts toward the center of the circle (upward).

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Problem Details

Gibbons, small Asian apes, move by brachiation, swinging below a handhold to move forward to the next handhold. A 9.0 kg gibbon has an arm length (hand to shoulder) of 0.60 m. We can model its motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of its swing, the gibbon is moving at 3.2 m/s .

What upward force must a branch provide to support the swinging gibbon?

Express your answer to two significant figures and include the appropriate units.

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