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A plumb line is suspended form a ceiling of a car moving with horizontal acceleration

A plumb line is suspended form a ceiling of a car moving with horizontal acceleration of ɑ. What will be the angle of inclination with vertical?

Options

(a) tan¯¹ (ɑ/g)
(b) tan¯¹(g/ɑ)
(c) cos¯¹(ɑ/g)
(d) cos¯¹(g/ɑ)

Correct Answer:

tan¯¹ (ɑ/g)

Explanation:

When car moves towards right with acceleration a then due to pseudo force the plumb line will tilt in backward direction making an angle θ with vertical.

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