(a) Explanation Given information: A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L and the car accelerates the string object system makes a constant angle of θ with the vertical. Consider the free body diagram for the system. Figure I Apply the equilibrium condition in the horizontal direction. T sin θ = m a (I) T is the tension in the string. θ is the angle made by vertical plane. m is the mass of object. a is the acceleration of the car. Apply the equilibrium condition in the vertical direction. T cos θ = m g (II) g is the acceleration due to gravity (b) To determine The acceleration of the car at θ = 23 ° .

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Chapter 5, Problem 39P

(a)

To determine

To determine: Expression for the car’s acceleration in terms of θ .

(b)

To determine

To determine: The acceleration of the car at θ=23° .

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Chapter 5, Problem 38P

Chapter 5, Problem 40P

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Physics for Scientists and Engineers with Modern Physics, Technology Update

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Expression for the car’s acceleration in terms of θ .

Solution Summary: The author explains the car's acceleration in terms of theta , which is independent of mass of the object and string length L.