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two object (mass A & B) are connected by a light string that passes over a frictionless pulley. The object (mass B) is held at rest on a fixed incline of angle = 40 and mass B is left hanging at rest above the floor. The objects are released from rest and mass A slides 1m down the incline in 4s. Draw the free body diagram of the objects mass A and B

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georgestirban

We study the movement of each body separately. For the mass body A: vector: T + Na + Ga + Ff = ma * a.Scalar: on the axis Ox: ma * g * sinα-T-Ff = ma * a

On the axis Oy: Na-ma * gcosα = 0=>Na=ma * g*cosα

Ff=μ*N=μ*ma * g*cosα

ma * g * sinα-T-μ*ma * g*cosα=ma*a

For mass body B: vector: Gb + T = mb * a.Scalar: by projection of the vector relation on the axis Ox:T-mb*g=mb*a


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