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Analyse the motion of two bodies connected by a string one of which is hanging free and other lying on a rough inclined plane.

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Consider two bodies of weight W1 and W2 respectively connected by a light inextensible string as shown in fig,

Let the body W1 hang free and the W2 be places on an inclined rough plane. W1 will move downwards and the body W2 will move upwards along the inclined surface. 

Consider the motion of W1 W1 – T = (W1/g)a ...(1) 

Consider the motion of W1T – W2sin α – µW1cos α = (W1/g)a ...(2)

Solve the equations for ‘T’ and ‘a’

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