Gibbons, small Asian apes, move by brachiation , swinging below a handhold to mo

Question

Gibbons, small Asian apes, move by brachiation,swinging below a handhold to move forward to the next handhold. A 8.8 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 at3.7 m/s .

Part A

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

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

Gibbons, small Asian apes, move by brachiation,swinging below a handhold to move forward to the next handhold. A 8.8 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 at3.7 m/s .

Part A

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

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

Explanation / Answer

The NET force must provide the centripetal force.
ie
Fbranch + F gravity = F centripetal
And note that the force of gravity is DOWN ie = -mg
F branch = mv^2 / r + mg
= 8.8*(3.7^2/ 0.6 +9.8) = 287.03N

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