Question

For a given system below, the characteristics of the dashpot is such that when a constant force of 49N is applied to the piston its velocity is found to be constant t 0.12m/s . Determine the value of c​

Answer 1

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Answer 2

Given :

The damping force, $\[{F_d}\]$ =49 N

The velocity,$\frac{dx}{dt}$ = 0·12 m/s

The mass of dashpot, m = 24 kg

The spring constant, s= 25 N/m

To Find:

We have to find the damping coefficient of the damper, c.

Solution:

If a force F is applied to the mass as shown, it is opposed by three forces.

They are:

1. The Inertia force, $\[{F_i}\]$ = mass × acceleration
2. The damping force, $\[{F_d}\]$ = constant × velocity
3. The spring constant, $\[{F_s}\]$ = kx

A damping coefficient is a material property that the material will bounce back or return energy to a system.

        $\[c = \frac{{{F_d}}}{\begin{array}{l}velocity\\\\ = \frac{{49}}{{0 \cdot 12}}\end{array}}\]$

                 =408.3 N/m/s

∴ The damping coefficient,c = 408.3 N/m/s