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Q.

A man pulls himself up the 30° incline by the method shown in Fig.. If the combined mass of the man and cart is 100 kg, determine the acceleration of the cart if the man exerts a pull of 250 N on the rope. Neglect all friction and the mass of the rope, pulleys, and wheels.

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a

$4.5 m s^{- 2}$

b

$2.5 m s^{- 2}$

c

$1.5 m s^{- 2}$

d

$3.5 m s^{- 2}$

answer is B.

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Detailed Solution

$a = \frac{3 T - m g \sin θ}{m}$ $= \frac{3 \times 250 - 100 \times 10 \times \sin 30^{o}}{100} = 2.5 m s^{- 2}$

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