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Xaime
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What work must be done to pull a loaded sleigh (total weight of 10 kg ) on the top height H=10 m. Gradient of slope amounts 30 degrees. Coefficient of friction between the sleigh and the ground decreases linearly along the way from 0,5 at the food of the hill to 0,1 in the top.
The pararell compnent of gravitational force
and the force of friction
My formula for elementary Work is
Now I have problem with integrate this equation, that is with the linearly changing coefficient of friction.
The pararell compnent of gravitational force
Code:
F _{s}=mg \sin \alpha
Code:
F _{T}=mg\cos\alpha \mu
My formula for elementary Work is
Code:
dW=mg(\sin\alpha+ \cos \alpha \mu) dx
Now I have problem with integrate this equation, that is with the linearly changing coefficient of friction.