Question

During operation a $65 \mathrm{~kg}$ machine is subjected to an impulse of magnitude $100 \mathrm{~N}-\mathrm{s}$. Specify the stiffness and damping coefficient of an isolator such that the transmitted force is $4000 \mathrm{~N}$ and the machine's maximum displacement is minimized.

   During operation a $65 \mathrm{~kg}$ machine is subjected to an impulse of magnitude $100 \mathrm{~N}-\mathrm{s}$. Specify the stiffness and damping coefficient of an isolator such that the transmitted force is $4000 \mathrm{~N}$ and the machine's maximum displacement is minimized.
 
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Theory and problems of mechanical vibrations
Theory and problems of mechanical vibrations
S. Graham Kelly 1st Edition
Chapter 8, Problem 59 ↓

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Step 1

The impulse is given as 100 N-s, and the mass of the machine is 65 kg. Using the formula $F\Delta t = m\Delta v$, where $F$ is the force, $\Delta t$ is the time interval, $m$ is the mass, and $\Delta v$ is the change in velocity, we can solve for the acceleration.  Show more…

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During operation a $65 \mathrm{~kg}$ machine is subjected to an impulse of magnitude $100 \mathrm{~N}-\mathrm{s}$. Specify the stiffness and damping coefficient of an isolator such that the transmitted force is $4000 \mathrm{~N}$ and the machine's maximum displacement is minimized.
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