Spring Accelerometer You are asked to calibrate a device used to measure the ver

Question

Spring Accelerometer You are asked to calibrate a device used to measure the vertical acceleration of a helicopter. The device consists of a mass, m, hanging from a massless spring of constant k. Your job is to express the acceleration, ay, in terms of the spring's stretch, y, from its equilibrium length when the helicopter is stationary. Your expression should be in terms of the given variables and any other known constants such as acceleration due to gravity, g. Submit Answer Incorrect. Tries 3/6 Previous Tries

Explanation / Answer

in the equilibrium position

let the elongation in the spring is y0

hence , m * g = y0 * k

Now, for the elongation , y from equilibrium

m * a = k * (y + y0) - m * g

m * a = k * y + k * y0 - m * g

m * a = k * y

a = k * y/m

the acceleration is k * y/m

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