JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Laws of Motion

Three blocks

M_{1}

M_{2}

M_{3}

having masses

4 kg

6 kg

and

10 kg

respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope

1

T_{1}

when they are moving upward with acceleration of

2 ms^{- 2}

is ______ N (if

g = 10 m / s^{2}

)

Answer: 240

Solution

Treat the three blocks as one system of total mass

M = 4 + 6 + 10 = 20

kg accelerating upward at

a = 2 m s^{- 2}

. Rope 1 carries the whole weight plus the accelerating force:

T_{1} = M (g + a) = 20 (10 + 2) = 240 N .

JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Integer answer

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