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physics

mechanics

Easy

Question

$text A circular platform is mounted on a vertical frictionless axle. Its radius is end text r equals 2 m text and its moment end text text of inertia end text straight I equals 200 kgm squared text . It is initially at rest. A end text 70 kg text man stands on the edge of the platform and end text text begins to walk along the edge at speed end text v subscript 0 equals 1 ms to the power of negative 1 end exponent text relative to the ground. The angular velocity end text text of the platform is end text$

$1.2 {rads}^{- 1}$
$0.4 r a d s^{- 1}$
$0.7 {rads}^{- 1}$
$2 {rads}^{- 1}$

The correct answer is: $0.7 {rads}^{- 1}$

$omega equals fraction numerator m v subscript 0 r over denominator I end fraction equals fraction numerator 70 left parenthesis 1.0 right parenthesis left parenthesis 2 right parenthesis over denominator 200 end fraction equals 0.7 rads to the power of negative 1 end exponent$

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