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Using constraint equations find the relation between a_{1} and

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Using constraint equations find the relation between $a_{1}$ and $a_{2}$ .

Views: 6,696 students

Updated on: Apr 28, 2023

Book:

Mechanics Volume 1 (DC Pandey)

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Using constraint equations find the relation between

a_{1}

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a_{2}

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Text solutionVerified

In Figure, points

1, 2, 3

and 4 are movable. Let their displacements from a fixed dotted line be

x_{1}, x_{2}, x_{3}

and

x_{4}

x_{1} + x_{3} = l_{1}

(x_{1} - x_{3}) + (x_{4} - x_{3}) = l_{2}

(x_{1} - x_{4}) + (x_{2} - x_{4}) = l_{3}

On double differentiating with respect to time, we will get the following three constraint relations

a_{1} + a_{3} = 0 ... (i)

a_{1} + a_{4} - 2 a_{3} = 0 ... (ii)

a_{1} + a_{2} - 2 a_{4} = 0 ... (iii)

Solving Eqs. (i), (ii) and (iii), we get

a_{2} = - 7 a_{1}

Which is the desired relation between

a_{1}

and

a_{2}

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Question Text	Using constraint equations find the relation between $a_{1}$ and $a_{2}$ .
Updated On	Apr 28, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 13
Upvotes	1527
Avg. Video Duration	14 min

Using constraint equations find the relation between $a_{1}$ and $a_{2}$ .

Text solutionVerified

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