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°.