Fall$24$ Exam#$3$ Practice

A $5\mathrm{.}0$ kg cat and a $2\mathrm{.}0$ kg bowl of tuna fish are the opposite ends of the $4\mathrm{.}0$ m long seesaw as shown in the picture below.

a$)$ Draw the free$-$body$-$diagram of the system $($make sure you show the angle directions and the forces axis.

b$)$ Write the torque equation that satisfies this condition.

c$)$

d$)$ Write the force equation that satisfy this condition.

e$)$

f$)$ Now use b$)$ and c to find how far to the left of the pivot a $4\mathrm{.}0$ kg cat must stand to keep the seesaw balanced.