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Byju's Answer

Standard XII

Physics

Applying NLM along 3 Axis

Two blocks of...

Question

Two blocks of masses $2 k g$ and $4 k g$ are attached by an inextensible light string as shown in the figure. If a force of $120 N$ pulls the blocks vertically upward, the tension in the string is (take g = $10 m s^{- 2}$ )

20 N

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15 N

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35 N

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40 N

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30 N

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Solution

The correct option is D 40 N
Let acceleration of assembly be $a$ upward and tension in rope be $T$ ,
$F - 4 g - 2 g = 6 a$
$120 - 6 \times 10 = 6 a$
$6 a = 60$
$a = 10 m / s^{2}$
Considering motion of $2 k g$ block,
$T - 2 g = 2 a$
$T = 2 \times 10 + 2 \times 10$
$T = 40 N$

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Two blocks of masses 2 kg and 4 kg are attached by an inextensible light string as shown in the figure. If a force of 120 N pulls the blocks vertically upward, the tension in the string is (take g = 10ms−2)

The correct option is D 40 NLet acceleration of assembly be a upward and tension in rope be T,F−4g−2g=6a120−6×10=6a6a=60a=10m/s2Considering motion of 2kgblock,T−2g=2aT=2×10+2×10T=40N

Two blocks of masses $2 k g$ and $4 k g$ are attached by an inextensible light string as shown in the figure. If a force of $120 N$ pulls the blocks vertically upward, the tension in the string is (take g = $10 m s^{- 2}$ )

The correct option is D 40 N
Let acceleration of assembly be $a$ upward and tension in rope be $T$ ,
$F - 4 g - 2 g = 6 a$
$120 - 6 \times 10 = 6 a$
$6 a = 60$
$a = 10 m / s^{2}$
Considering motion of $2 k g$ block,
$T - 2 g = 2 a$
$T = 2 \times 10 + 2 \times 10$
$T = 40 N$