Newton's second law:

$\overline{){\mathbf{\Sigma}}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Centripetal force:

$\overline{){{\mathbf{F}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{\mathbf{m}{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$

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

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

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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Centripetal Forces concept. You can view video lessons to learn Centripetal Forces. Or if you need more Centripetal Forces practice, you can also practice Centripetal Forces practice problems.