Physics

Two blocks A and B are connected by a light in extensible cord passing over a frictionless pulley. Block A starts from rest and moves up the smooth plane which is inclined at 30 degrees to the horizontal. Calculate at the moment that A has moved 4 m along the plane.

(a) the total kinetic energy of the system
(b) the speed of the blocks A and B

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asked by Ariana
  1. The picture is not complete.

    Are the two blocks identical (in mass) ?
    Does block B hang free?

    If it is, B will descend as A moves up.

    Draw the free body diagram of each block.

    Let the tension in string be T.
    mass of each block = m
    acceleration due to gravity = g
    angle of incline = θ = 30°

    Distance moved = s = 4m

    Change in potential energy of system, δep
    mgs(sinθ)-mgs
    =mgs(sinθ-1)

    Assuming no frictional and air-resistance loss,
    δep+δek=0, or
    δek=mgs(1-sinθ)

    Equate δek to (1/2)(m+m)v² to solve for v.

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    posted by MathMate

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