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A plumb bob hanging from the ceiling of ...

A plumb bob hanging from the ceiling of railroad car acts as an accelerometer . Derive the general expression relating the horizontal acceleration a of the car with the angle `theta` made by the bob with the vertical . Find `theta` when `a = 1.5 ms^(-2)` and a when `theta = 10^(@)`
[Hint: Apply d' Alembert's principal.]

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The correct Answer is:
`a = g "tan" theta , 8^(@) 42 ' , 1.73 m s^(-2)`
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