Physics

Problem

A block of mass

4\,\text{kg}

lies on a smooth inclined plane making an angle of

30^{\circ}

with the horizontal. It is connected to the top of the incline by two springs in series with constants

k_{1} = 200\,\text{N/m}

and

k_{2} = 200\,\text{N/m}

. Find the equilibrium extension of the spring system. Take

g = 10\,\text{m/s}^{2}