In a control system, an accelerometer consists of a 4.99 -g object sliding on a

Question

In a control system, an accelerometer consists of a 4.99-g object sliding on a calibrated 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 0.856g, the object should be at a location 0.480 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct.
N/m

Explanation / Answer

force F = -kx

here g = 0.856 *9.8

x = 0.48 cm = 0.0048 m

m = 4.99*10^-3 Kgs

K = F/x = 4.99*10^-3* 0.856 *9.8/(0.0048)

K = 8.72 N/m

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