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JEE Main 202228 JuneMorning Shift

Exam: JEE Main
Year: 2022
Date: 28 June
Shift: Morning Shift
Subject: Physics
Chapter: Laws of Motion

JEE Main 2022 · 28 June · Morning Shift · Physics · Laws of Motion

A hanging mass M is connected to a four times bigger mass by using...

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 $2Mg$ force. In this situation, tension in the string is $\dfrac{x}{5}Mg$ for $x =$ _____. Neglect mass of the string and friction of the block (bigger mass) with ice slab.
(Given $g =$ acceleration due to gravity)

A hanging mass M is connected to a four times bigger mass by using a string pulley arrangement, as shown in the figure.

Correct answer

0

Step-by-step solution

A hanging mass M is connected to a four times bigger mass by using a string pulley arrangement, as shown in the figure.

Equation for $4M: 2Mg - T = 4Ma . . . \left(1\right)$

Equation for $M: T - Mg = Ma . . . \left(2\right)$

Adding both equation we get,

$Mg = 5Ma ⇒ a = \dfrac{g}{5}$

Now, tension $T = Mg + Ma = \dfrac{6Mg}{5}$

Therefore, $x = 6$

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