A hanging mass M is connected to a four times bigger mass by using a string pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2 Mg force. In this situation, tension in the string is x 5 Mg for x = _____. Neglect mass of the string and friction of the block (bigger mass) with ice slab. (Given g = acceleration due to gravity)

Question

A hanging mass M is connected to a four times bigger mass by using a string pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2 Mg force. In this situation, tension in the string is x 5 Mg for x = _____. Neglect mass of the string and friction of the block (bigger mass) with ice slab. (Given g = acceleration due to gravity),

MARKS App · Accepted Answer

Equation for 4 M : 2 M g - T = 4 M a . . . 1 Equation for M : T - M g = M a . . . 2 Adding both equation we get, M g = 5 M a ⇒ a = g 5 Now, tension T = M g + M a = 6 M g 5 Therefore, x = 6

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