Solution of task 21.1. from the collection of Kepe OE

Solution of task 21.1. from the collection of Kepe OE

21.1.1
Small oscillations of the mechanical system are described by the differential equation q + (4π) 2q = 0, where q is the generalized coordinate, m. The initial displacement of the system is q0 = 0.02 m, the initial velocity is qo = 2 m / s. Determine the amplitude of the oscillations. (Answer 0.160)