Science Maths

Sir,
My question is as below:-
Three particles a b & c of mass m are connected to each other by three massless rigid rods to from a rigid, equilateral triangular body of side 'l'.This body is is placed on a horizontal frictionless table (x-y plane) an is hinged to it at the point A so that it can move without friction about the vertical axis through A as shown in figure. The body is set into rotational motion on the table about A with a constant angular velocity w[omega)

a)Find the magnitude of the horizontal force exerted by hinge on the body.
b) At the time T when the side BC is parallel to the X-axis, force F is applied on B along BC as shown. Obtain X-component and Y-component of the force exerted by the hinge on the body immediately after time T.

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