Question

A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object of mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m −1 s β N m−1 s . Let y(t) y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t t seconds.

(5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k 24 N m 1 . An object of mass m-4 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant B N m s. Let y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t seconds (a) Give a value of β which would result in underdamping. β- Give your answer as an exact value or as a decimal to at least 3 decimal places.

Answer 1

kr 위'/m Nsea to sane d1 2 may am am 82