Mechanical Principles and Applications
Hi all another question I seem to be struggling with.
A car of mass 1.2 tonne accelerates up a road with a slope of 1 in 10 (sine), increasing its speed from 5 to 20 m/s, while travelling 100m along the road, against a frictional resistance of 1kN. Using D'Alembert's principle, calculate:
a. The tractive effort between the driving wheels and the road surface.
b. Work done.
c. Now confirm your answer using the principle of conservation of energy.
I have research D'Alembert's principle a lot and I do understand it but it's hard for me to apply it to this question (and the last part).
I understand you find the acceleration first which I got to be 1.875ms-2 and then you go to find the force which I also know how to do however the 1 in 10 slope got me. The 1 in 8 slope sine feta I know is 0.125 but how does one find it for 1 in 10 sine?
Also b and c confused.
Any help appreciated.
A car of mass 1.2 tonne accelerates up a road with a slope of 1 in 10 (sine), increasing its speed from 5 to 20 m/s, while travelling 100m along the road, against a frictional resistance of 1kN. Using D'Alembert's principle, calculate:
a. The tractive effort between the driving wheels and the road surface.
b. Work done.
c. Now confirm your answer using the principle of conservation of energy.
I have research D'Alembert's principle a lot and I do understand it but it's hard for me to apply it to this question (and the last part).
I understand you find the acceleration first which I got to be 1.875ms-2 and then you go to find the force which I also know how to do however the 1 in 10 slope got me. The 1 in 8 slope sine feta I know is 0.125 but how does one find it for 1 in 10 sine?
Also b and c confused.
Any help appreciated.
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