Answer
(a) $F_c=87.6N$
(b) $T=180.7N$
Work Step by Step
(a) The monkey's mass $m=9.5kg$, radius of circular path $r=85cm=0.85m$ and its speed $v=2.8m/s$
$$F_c=\frac{mv^2}{r}=87.6N$$
(b) The monkey's arm has to provide 2 forces:
- A force $F$ that supports its weight. So, $F=mg=93.1N$
- Centripetal force $F_c$ for the monkey's swinging $F_c=87.6N$
Therefore, the magnitude of the tension in the monkey's arm is $$T=F+F_c=180.7N$$
