In the previous parts, you obtained the following equations using Newton's 2nd law and the constraint on the motion of the two blocks:m2a2x=T−m2gsin(θ),(1)m1a1y=T −m1g,(2)anda2x=−a1y.(3)Solve these equations to find a1y. Before you enter your answer, make sure it satisfies the special cases you already identified:a1y=−g if m2=0 anda1y=0 if m1=m2 and θ=π/2.Also make sure that your answer has dimensions of acceleration. Express a1y in terms of some or all of the variables m1, m2, θ, and g.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.