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Error and Uncertainty

In the shown ...

Question

In the shown figure if $a_{1} = 2 m / s^{2}, a_{2} = 5 m / s^{2}$ and $α = 2 r a d / s^{2} .$ If pure rolling occurs at sphere and plank surface the possible value of radius of sphere is:

1 m

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1.5 m

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2 m

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can't be obtained

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Solution

The correct option is B $1.5 m$
$α r = (a_{1} - a_{2})$
$r = (\frac{3}{2}) = 1.5$

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