Question

A Bead Of Mass m is attached to one end of a spring of natural length R And spring constant K = (√3+1)mg/R . other end of the spring is attached toa point A ON the vertical ring of radius R MAKING AN ANGLE OF 30 DEGREE WITH ITS CIRCUMFERENCE THE NORMAL REACTION AT THE BEAD WHEN THE SPRING IS ALLOWED TO MOVE FROM POINT A

Answer 1

First we have to find out the total extension in spring and the equation used for this question would be F = -kx.

The third side in the question would be found from the cosine rule will be root3 R.

Then the spring force must be calculated using the above given formula.

Then, the sum of all the forces this way are made equal to zero which will give us the required equation