A vibration isolation block is to be installed in a laboratory so that the vibration from adjacent factory operations will not disturb certain experiments. If the isolation block is $1000 kg$ and the surrounding floor and foundation vibrate at $1500$ cycles per minute, determine the stiffness of the isolation system such that the motion of the isolation block is limited to $10%$ of the floor vibration; neglect damping.

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A vibration isolation block is to be installed in a laboratory so that the vibration from adjacent factory operations will not disturb certain experiments. If the isolation block is

1000 kg

and the surrounding floor and foundation vibrate at

1500

cycles per minute, determine the stiffness of the isolation system such that the motion of the isolation block is limited to

10%

of the floor vibration; neglect damping.

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