Question

A certain spring has a stiffness of 50 N/m. A block of mass 2 kg is attached to the end of the spring. Find the damping coefficient b and damping rate γ if the systern is critically damped.

Answer 1

The damping coefficient is 20.

Step-by-step explanation:

Given that,

Spring constant = 50 N/m

Mass of block = 2 kg

We need to calculate the damping coefficient

Using formula of damping coefficient

`b = 2√(km)`

`b=2√(50*2)`

`b=20`

In case of critical damping the damping rate is 1

Hence, The damping coefficient is 20.