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Physics

Mechanics

Easy

Question

An isosceles right triangular plate ABC of mass m is free to rotate in vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is

$\frac{3 m g}{4}$
$\frac{m g}{4}$
$\frac{3 m g}{2}$
$\frac{2 m g}{3}$

The correct answer is: $fraction numerator 2 m g over denominator 3 end fraction$

$F r o m space t h e space f r e e space b o d y space d i a g r a m comma table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell m g equals R plus T end cell row cell R L over 3 equals T fraction numerator 2 L over denominator 3 end fraction text (rotational equilibrium) end text not stretchy rightwards double arrow R equals fraction numerator 2 m g over denominator 3 end fraction end cell end table$

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