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Constrained Motion : Intuitive Approach

The accelerat...

Question

The acceleration of ' $m_{1}$ ' and ' $m_{2}$ ' are ' $a_{1}$ ' and ' $a_{2}$ ' then:

A

{a_{1} = a}_{2}

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B

{a_{1} = 2 a}_{2}

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C

2 {a_{1} = a}_{2}

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D

2 {a_{1} \leq a}_{2}

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Solution

The correct option is B ${a_{1} = 2 a}_{2}$
Using the constraint for the length of the string we have,
If $m_{2}$ moves down by $x_{2}$ , then $m_{1}$ has to displace by $2 x_{2}$ .
On differentiating it gives us,
$a_{1} = 2 a_{2}$

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Constrained Motion : Intuitive Approach

Standard XII Physics