Returning once again to our table top example of a horizontal mass on a low-friction surface with m = 0.254 kg and k = 10.0 n/m with damping characterized by y = 0.628 (1/s). if fo = 0.5 n, calculate a and d for the following values of w: 0.628 rad/s, 3.14 rad/s, 6.28 rad/s, and 9.42 rad/s.

Explanation:

Given that,

Mass = 0.254 kg

Spring constant [tex[\omega_{0}= 10.0\ N/m[/tex]

Force = 0.5 N

y = 0.628

We need to calculate the A and d

Using formula of A and d

.....(I)

....(II)

Put the value of in equation (I) and (II)

From equation (II)

Put the value of in equation (I) and (II)

From equation (II)

Put the value of in equation (I) and (II)

From equation (II)

Put the value of in equation (I) and (II)

From equation (II)

Hence, This is the required solution.