The question is from Heinemann Modular Mathematics p145
Q6: A bead of mass m is threaded on a smooth circular wire of radius a and centre O which is fixed in a vertical plane. B is released from rest at the point where OB makes an angle of 30 degrees with the upward vertical.
b) Given that the speed of B at the lowest point of its path is v, find in terms of a and g. This part I can do and the answer is
The next part is the bit I'm stuck on:
c) Find in terms of m and g the magnitude and direction of the reaction of the wire on the bead when OB makes an angle of 60 degrees with the upward vertical.
I started off by using the conservation of energy, PE lost=KE gained.
which simplifies to
But I don't know what to do after this. Can someone help please?