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Three particles A, B and C each of mass \( \mathrm{m} \) are connected to each other by three massless rigid rods to form a rigid, equilateral triangular body of side 1 . This body is placed on a horizontal frictionless table ( \( x \) - \( y \) plane) and is hinged to it at the point \( A \) so that it can move without friction about the vertical axis
\( \mathrm{P} \) through \( \mathrm{A} \) as shown in figure. The body is set into rotational motion on the table about A with a constant angular velocity \( \omega \)
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- \( \quad \) At time \( T \), when the side \( B C \) is parallel to the \( x \) - axis, a force \( F \) is applied on \( B \) along \( B C \) as shown. Obtain the \( x \)-component and the \( y \) - component of the force exerted by the hinge on the body, immediately after time \( \mathrm{T} \).
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