If a wagon (mass 30 kg) is pulled up a 22 degree incline by a force of 240 N exe

Question

If a wagon (mass 30 kg) is pulled up a 22 degree incline by a force of 240 N exerted at 34 degrees above the ground, find the wagons acceleration if the coefficient of friction between the hill and wagon is 0.37 If a wagon (mass 30 kg) is pulled up a 22 degree incline by a force of 240 N exerted at 34 degrees above the ground, find the wagons acceleration if the coefficient of friction between the hill and wagon is 0.37 If a wagon (mass 30 kg) is pulled up a 22 degree incline by a force of 240 N exerted at 34 degrees above the ground, find the wagons acceleration if the coefficient of friction between the hill and wagon is 0.37

Explanation / Answer

Here ,

let the normal force is N

N = mg * cos(theta) - F * sin(34)

N = 30 * 9.8 * cos(22) - 240 * sin(34)

N = 138.4 N

Now , let the acceleration is a

30 * a = 240 * cos(34) -30 * 9.8 * sin(22) - 0.37 * 138.44

a = 1.25 m/s^2

the acceleration is 1.25 m/s^2

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