Answer
The force exerted by the triceps muscle is $1460~N$
Work Step by Step
The torque exerted by the triceps muscle about the rotation axis is equal in magnitude to the torque exerted by the palm about the rotation axis. We can find the force exerted by the triceps muscle:
$r_t~F_t = r_p~F_p$
$F_t = \frac{r_p~F_p}{r_t}$
$F_t = \frac{(0.38~m)(96~N)}{0.025~m}$
$F_t = 1460~N$
The force exerted by the triceps muscle is $1460~N$.
