A suspended mass of 10 kg completes 40 oscillations in 20 seconds in a single-degree damped vibrating system. The stiffness of the spring is approximately:

The equation of free vibration of a system is given by d 2 x/dt 2 + 36π 2 x = 0. Its natural frequency is:

A simply supported beam of length L = 2 m, mass per unit length m = 10 kg/m, and flexural rigidity EI = 2000 N·m2 undergoes free transverse vibration. Calculate the fundamental natural frequency ω1 in rad/s. (Take π2 ≈ 10 and √200 ≈ 14)