^Painter’s chair

^Painter’s chair

A person of mass M is standing in a box of mass m and pulling the same box with acceleration a by applying a force F as shown in the diagram. Let N is the force on man by box.

System, FBD & Newton’s law 

Rope (massless): 0. a = T – F

Person (M) : Ma = (T + N) – Mg

Box (m):  ma = T – (N + mg)

Simplifying these equations we get,


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