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Question

# In a control system, an accelerometer consists of a $4.70-\mathrm{g}$ object sliding on a horizontal rail. A low-mass spring attaches the object to a flange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of $0.800 \mathrm{~g}$, the object is to assume a location $0.500 \mathrm{~cm}$ away from its equilibrium position. Find the force constant required for the spring.

Solution

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In this problem, we are given an accelerometer. We know the following

• $m=4.7\textrm{ g}$
• $a=0.8 \,g$
• $\Delta x=0.5\textrm{ cm}$

We want to find the force constant of the accelerometer.

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