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Understanding Toppling Due to Slope: Inclined Planes and Stability

Learn about the concept of toppling on inclined planes due to slope angles and stability conditions, with a focus on a car's wheelbase and center of mass for practical applications and calculations.

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Understanding Toppling Due to Slope: Inclined Planes and Stability

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  1. Learning Objectives : To understand Toppling and Toppling due to a slope Book Reference : Pages 102

  2. Tilting : When will it fall? p

  3. Going.... p

  4. The line of action of the weight has now passed the pivot It will now fall over p

  5. Inclined planes & Stability p θ W As the angle of the slope increases the line of action of the weight from the C.o.G. will move from the mid point of the base towards p. Once it passes p the object will topple. The maximum angle of inclination before toppling is when the weight acts through point P.

  6. Inclined planes problem 1.8m 0.8m θ W A car has a wheel base of 1.8m and a centre of mass when unloaded which is 0.8m above the ground. If the car is tested for stability on an adjustable slope what is the maximum angle of inclination before the car topples?

  7. Relatively easy.... Question of seeing the geometry Tan θ = 0.9 / 0.8 θ = 48° 0.9m 0.8m θ 90 - θ θ

  8. Inclined planes problem What will happen if the car is carrying a full compliment of passengers? What will happen if the car has a roof box?

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