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A box of mass M has to be raised to a horizontal platform through a ramp of length L and inclined to a height H

A box of mass

M

has to be raised to a horizontal platform through a ramp of length

L

and inclined to a height

H

. making an angle

\\\\theta

with the horizontal. If the inclined plane is frictionless and the force to push it up is

F_(p)

. ( 3 points)\ i) Draw free-body diagram for the box. (i.e identify all the forces acting on the box)\ ii) Find the acceleration of the box in terms of

\\\\theta ,M

and

F_(p)

.\ iii) Use the Work-Kinetic energy theorem to find the final velocity of the box as it reaches the horizontal platform in terms of

\\\\theta

,

M,L

and

F_(p)

\

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