A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a v
iscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (21 cos 3t − 14 sin 3t) N, determine the steady state response. Express your answer in the form R cos(ωt − δ). (Let u(t) be the displacement of the mass from its equilibrium position at time t.)
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Answer:
68.9233231661
Explanation:
Just put it into your calculator, shift sin should do it but it will come up like this: which is the same as arcsin
For an object`s motion, the Kinematic equation is,
Here, v is the final velocity and h is stands for the height of the object and a is the acceleration of the object.
As according to question,
and
Thus, putting these values in above equation, we get
or
Therefore, initial velocity is 2.8 m/s