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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 ms−2

b

2.5 ms−2

c

3.5ms−2

d

1.5 ms-2

answer is B.

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Detailed Solution

a=3T−mgsinθm=3×250−100×10×sin30o100=2.5 ms−2

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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.