Two objects each of mass m are connected with a uniform rope having same mass m and length ℓ = 10/3 m are shown in the figure. The rope can slide on a frictionless pulley which is fixed to the edge of the table. Initially \frac{1}{3} of the rope hangs vertically. Friction is negligible everywhere. If the system is released from rest and object on the right hand side descend further by a distance of \frac{1}{3}ℓ, what would be the speed of the object (in m/s) ?

Engineering

Physics

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Question

Two objects each of mass m are connected with a uniform rope having same mass m and length ℓ = 10/3 m are shown in the figure. The rope can slide on a frictionless pulley which is fixed to the edge of the table. Initially $\frac{1}{3}$ of the rope hangs vertically. Friction is negligible everywhere.

If the system is released from rest and object on the right hand side descend further by a distance of $\frac{1}{3}$ ℓ, what would be the speed of the object (in m/s) ?

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By using mechanical energy conservation v = $\frac{10}{3}$ = 3.33 m/s

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