Take into consideration the system of Fig.1 (previous page) with M = M = M, where...

 

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Take into consideration the system of Fig.1 (previous page) with M₁ = M₂ = M, where M₂ is hanging under the action of gravity, and assume that the mass M₁ slides on a rough surface with friction coefficient 0 < p <1. The two masses are connected by a massless, inextensible string, that can slide with no friction on a smooth pulley. (a) [6 marks] The masses are initially at rest, then they start sliding. By ap- plying the Principle of work, find the speed of both masses when they have been displaced by a length d. (b) [2 marks] Does the tension in the string play any role in the total work? Why? (c) [4 marks] Assume now that μ = 0. By applying the Principle of conservation of mechanical energy, find the speed of both masses when they have been displaced by a length d. M₁ M₂ 30 Take into consideration the system of Fig.1 (previous page) with M₁ = M₂ = M, where M₂ is hanging under the action of gravity, and assume that the mass M₁ slides on a rough surface with friction coefficient 0 < p <1. The two masses are connected by a massless, inextensible string, that can slide with no friction on a smooth pulley. (a) [6 marks] The masses are initially at rest, then they start sliding. By ap- plying the Principle of work, find the speed of both masses when they have been displaced by a length d. (b) [2 marks] Does the tension in the string play any role in the total work? Why? (c) [4 marks] Assume now that μ = 0. By applying the Principle of conservation of mechanical energy, find the speed of both masses when they have been displaced by a length d. M₁ M₂ 30