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Question

A car is moving on a plane inclined at 30 to the horizontal with an acceleration of 9.8 m/s2 parallel to the plane upward. A bob is suspended by a string from the roof. The angle in degrees which the string makes with the vertical is: (Assume that the bob does not move relative to car and g=9.8 m/s2)

A
20
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B
30
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C
45
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D
60
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Solution

The correct option is B 30
From frame of car, the effective acceleration (geff) due to gravity shall be measured as shown in figure. Hence geff makes an angle 30 with vertical direction (down wards). Since the string aligns with direction of geff in equilibrium, the required angle is θ=30

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