A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to the cars ceiling. As the car accelerates the stringobject system makes a constant angle of 0 with the vertical. (a) Assuming that the string mass is negligible compared with m, derive an expression for the cars acceleration in terms of u and show that it is independent of the mass m and the length L. (b) Determine the acceleration of the car when 0 = 23.0°.
A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to the cars ceiling. As the car accelerates the stringobject system makes a constant angle of 0 with the vertical. (a) Assuming that the string mass is negligible compared with m, derive an expression for the cars acceleration in terms of u and show that it is independent of the mass m and the length L. (b) Determine the acceleration of the car when 0 = 23.0°.
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Transcribed Image Text:A simple accelerometer is constructed inside a car by suspending an object of mass
m from a string of length L that is tied to the cars ceiling. As the car accelerates the
stringobject system makes a constant angle of 0 with the vertical. (a) Assuming that
the string mass is negligible compared with m, derive an expression for the cars
acceleration in terms of u and show that it is independent of the mass m and the
length L. (b) Determine the acceleration of the car when 0 = 23.0°.
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