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Physics

Mechanics

Easy

Question

Three identical masses. each of mass 1kg. are placed at the corners of an equilateral triangle of side l. Then the moment of inertia of this system about an axis along one side of the triangle is

$3 l^{2}$
$l^{2}$
$\frac{3}{4} l^{2}$
$\frac{3}{2} l^{2}$

The correct answer is: $3 over 4 l squared$

$I equals M open square brackets fraction numerator begin display style square root of 3 l end style over denominator begin display style 2 end style end fraction close square brackets squared$

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$straight A space circular space platform space is space mounted space on space straight a space vertical space frictionless space axle. space Its space radius space straight r space equals space 2 straight m space and space its space moment space of space inertia space I italic space equals space 200 kg minus straight m squared space.. space It space is space initially space at space rest. space straight A space 70 space kg space man space stands space on space the space edge space of space the space platform space and space begins space to space walk space along space the space edge space at space speed space straight v subscript 0 space equals space 10 space straight m divided by straight s space relative space to space the space ground. space The space angular space velocity space of space the space platform space is space space space$

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