In the figure a worker lifts a weight

\(\displaystyle\omega\) by pulling down on a rope with a force

\(\displaystyle\vec{{{F}}}\). The upper pulley is attached to the ceiling by a chain,and the lower pulley is attached to the weight by another chain.The weight is lifted at constant speed. Assume that the rope,pulleys, and chains all have negligible weights.

A) In terms of

\(\displaystyle\omega\),find the tension in the lower chain.

B) In terms of

\(\displaystyle\omega\),find the tension in upper chain.

C) In terms of

\(\displaystyle\omega\),find the magnitude of the force

\(\displaystyle\vec{{{F}}}\) if the weight is lifted at constant speed.