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Q.

A truck is carrying a box of mass m = 50 kg on its flat horizontal rough surface with coefficient of friction $μ =$ 0.3. It is crossing a circular track of radius 27 m. What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?

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a

32.4 km/hr

b

18 km/hr

c

36 km/hr

d

None of these

answer is C.

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Detailed Solution

Question Image

F.B.D. of the particle in truck travel.

Here $\frac{{mv}^{2}}{R} = μmg$

$v^{2} = μ g R = 0.3 \times 10 \times 27 m / s = 32.4 k m / s$

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