1. The problem statement, all variables and given/known data A particle of mass m is attached to three springs A , B , C of equal force constants k as shown in the figure.The angle between each pair of springs is 120° initially . If the particle is pushed slightly against the spring C and released, find the time period of oscillation. 2. Relevant equations 3. The attempt at a solution Let the particle be displaced from O to P .i.e OP=x . Spring C is compressed by distance x .Spring A is stretched by a distance PA - OA . Spring B is stretched by a distance PB - OB. Perpendicular OX and OY are dropped on PA and PB respectively . For small displacement BY ≈ BO and AO ≈ AX .So, PX is approximately extension in spring A .PX=POsinα or PX=POcosβ . Now , how do I determine the angle α or β so that I may proceed with the problem ?