Three springs are connected to a mass m= 80 g as shown in figure. What is the effective spring constant and periodic time, if k= 2 Nm^(-1)?

Three springs are connected to a mass m= 80 g as shown in figure. What

1.	Three springs are connected to a mass m= 80 g as shown in figure. What is the effective spring constant and periodic time, if k= 2 Nm^(-1)?
Answer» Solution :Here, `k= 2 Nm^(-1), m= 80g = 80xx 10^(-3) kg = 0.08 kg` Here all the three spring are in parallel so eaquivalent force constant, `k. = 2K+ k+k = 4k` PERIODIC TIME `T = 2pi sqrt((m)/(k.))` `=2pi sqrt((0.08)/(4k)) = 2pi sqrt((0.08)/(4xx2))` `= 2pi xx sqrt(0.01) = 2 xx 3.14 xx 0.1` `THEREFORE T = 0.628s`. .