Question

can you please help me with this please. thank you.
A small mass m hangs at rest from a vertical rope of length l that is fixed to the ceiling. A force then pushes on the mass, perpendicular to the taut rope at all times, until the rope is oriented at an angle delta and the mass has been raised by a vertical distance h . Assume the force's F magnitude is adjusted so that the mass moves at constant speed along its curved trajectory. Find the work done by F during this process. [Hint: When the angle is increased by ddelta (in radians), the mass moves along an arc length (ds=lddetla

Answer 1

Fx=F-mgsinθ=0
F=mgsinθ

WF=∫F*ds=∫Fcos0ldθ use θ=0 and θ=θ0
=mgl(1-cosθ)


h=l-lcosθ0

WF=mgl(1-cosθ0)
=mgh

Answer 2

thank you !!!!!