Question

is it possible to find a situation where the net force on an object is zero but the net torque is not? how about a situation where the net torque on an object is zero but the net force is not?

Answer 1

a) Consider a force acting on an axis A and a net force B acting on a lever arm about A - if the forces are anti-parallel and equal there is not net force on the combination but there is a net torque about A

b) consider net forces (again antiparallel) of 5 N and 4 N acting on lever arms of 4 m and 5 m - the net torque on the lever arms is zero (5 * 4 and 4 * 5) but the net force is not zero