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 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 and show that it is independent of the mass m and the length L. (Use the following as necessary: 0 and g.) a = (b) Determine the acceleration of the car when = 23.6°. m/s² Need Help? Read It
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 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 and show that it is independent of the mass m and the length L. (Use the following as necessary: 0 and g.) a = (b) Determine the acceleration of the car when = 23.6°. m/s² Need Help? Read It
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![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
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 and show that it is independent of the mass m and the length L. (Use the following as necessary: 0 and g.)
a =
(b) Determine the acceleration of the car when = 23.6°.
m/s²
Need Help?
Read It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6920542f-fec8-41bc-886f-a64d640df4ff%2Fb1a465e5-7179-435b-87b5-66076b266c4c%2Fj0vq0la_processed.jpeg&w=3840&q=75)
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
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 and show that it is independent of the mass m and the length L. (Use the following as necessary: 0 and g.)
a =
(b) Determine the acceleration of the car when = 23.6°.
m/s²
Need Help?
Read It
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