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Physics toppling question

A vehicle has a wheel base of 1.8m and a centre of mass , when unloaded is 0.8m from the ground

The vehicle is tested for stability on a adjustable slope. Calculate the maximum angle of the slope to the horizontal if the vehicle is not to topple over
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Hasham123
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Avatar for Dirac_
Dirac_
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Original post by Hasham123
A vehicle has a wheel base of 1.8m and a centre of mass , when unloaded is 0.8m from the ground

The vehicle is tested for stability on a adjustable slope. Calculate the maximum angle of the slope to the horizontal if the vehicle is not to topple over



23.6 degrees
Reply 3
Avatar for Hasham123
Hasham123
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Original post by stoneroses2828
23.6 degrees


How did you get that?
toppling occurs when the centre of mass is beyond the downhill point of contact ( ie the front wheel if it is pointing downhill ).

draw a diagram showing the centre of mass directly above the point of contact.... use geometry to find the angle you need.
Reply 5
Avatar for Shaanv
Shaanv
17
One thing people miss is that the angle the plane is elevated to the horizontal, is the same as the angle between the line of action of the weight and the perpendicular to the slope.

With this u should be able to solve the question. U can prove this result yourself using some geometry.
Reply 6
Avatar for Hasham123
Hasham123
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15
So I made a triangle out of this and got o=0.8 and a=0.9 then did 0.8/0.9 and got 0.8 recurring then did tan-1(0.8 recurring) and got 41.63 is that the right answer
Original post by Hasham123
A vehicle has a wheel base of 1.8m and a centre of mass , when unloaded is 0.8m from the ground

The vehicle is tested for stability on a adjustable slope. Calculate the maximum angle of the slope to the horizontal if the vehicle is not to topple over


you can use trig tan-1 (0.9/0.8) to get the answer where 0.9 is the is half of the base

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