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Physics Class 12th Laws of Motion physics ncert exemplar solutions class 12th chapter two

In the arrangement shown in figure a₁, a₂, a₃ and a₄ are the accelerations of masses m₁, m₂, m₃ and m₄ respectively. Which of the following relation is true for this arrangement?

Option 1 -

4a₁ + 2a₂ + a₃ + a₄ = 0

Option 2 -

a₁ + 4a₂ + 3a₃ + a₄ = 0

Option 3 -

a₁ + 4a₂ + 3a₃ + 2a₄ = 0

Option 4 -

2a₁ + 2a₂ + 3a₃ + a₄ = 0

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1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

2 months ago

Correct Option - 1

Detailed Solution:

$\sum_{}^{} \vec{T} . \vec{a} = 0$

$\frac{T}{2} a_{1} + \frac{T}{4} a_{2} + \frac{T}{8} a_{3} + \frac{T}{8} a_{4} = 0$

$\Rightarrow 4 a_{1} + 2 a_{2} + a_{3} + a_{4} = 0$

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Let ‘v’ be the velocity of third piece

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In the arrangement shown in figure a₁, a₂, a₃ and a₄ are the accelerations of masses m₁, m₂, m₃ and m₄ respectively. Which of the following relation is true for this arrangement?

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In the arrangement shown in figure a₁, a₂, a₃ and a₄ are the accelerations of masses m₁, m₂, m₃ and m₄ respectively. Which of the following relation is true for this arrangement?