A mass is suspended from the ceiing of a car by a string . The string makes an angle of 60° with the ceiling when the car moves with an acceleration a (g=10m/sec×sec). find the value of a.
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Explanation:
A Mass is suspended from the roof of a car by a string while the car has a constant acceleration. Let the acceleration of the car = a Horizontal force on mass = ma Vertical force on the mass = mg The string makes an angle of 60° with the vertical. Thus tan 60° = mg/ma => √3 = g/a => a = g/√3 = 10/√3 m/s^2 Acceleration of car is 10/√3 m/s^2
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