Question

With what acceleration does the block of mass m move? Pulley and string are massless and frictionless

Answer 1

This is called an Atwood Machine

Applying Newton’s Formula

F = M x A

Force = Mass x Acceleration

Mass x Gravity = Tension

For first block

MA₁ = MG - T₁

For second Block

2MA₂= T₂ - 2MG

For third Block

3MA₂ = T₃ - 3MG

Solving these equations we get

Acceleration of the system is 2/3g

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