A simple accelerometer is constructed inside a car by sus- pending an object of mass m from a string of length L that is tied to the car's ceiling. As the car accelerates the string- object 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 car's acceleration in terms of 0 and show that it is independent of the mass mand the length L. (b) Determine the acceleration of the car when 0 = 23.0°.

A simple accelerometer is constructed inside a car by sus- pending an object of mass m from a string of length L that is tied to the car's ceiling. As the car accelerates the string- object 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 car's acceleration in terms of 0 and show that it is independent of the mass mand the length L. (b) Determine the acceleration of the car when 0 = 23.0°.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 27P

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