Force of wheel Perependicular to road over speed hump

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SUMMARY

The discussion focuses on calculating the upward force exerted by a car wheel as it traverses a speed hump. The normal reaction force (Nr) is initially equal to the downward force of the car (Mg), but increases to a greater upward force (Ma) when the wheel goes over the hump. The participants discuss the implications of vertical acceleration on the normal force, particularly when the road is curved versus straight. A specific scenario is presented where the car travels at 20 meters per second, prompting calculations for the upward force Ma.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of forces and acceleration
  • Familiarity with normal reaction force concepts
  • Ability to interpret simple physics diagrams
NEXT STEPS
  • Calculate the upward force Ma using the formula for normal force in dynamic scenarios
  • Explore the effects of different speeds on normal reaction forces over speed humps
  • Investigate the impact of road curvature on vehicle dynamics
  • Review case studies on vehicle behavior over speed bumps in physics literature
USEFUL FOR

Physics students, automotive engineers, and anyone interested in vehicle dynamics and force calculations related to road interactions.

cjh1990
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Im curently trying to work out the upwards force of the wheel of a car as it passes over a hump in the road. I have drawn a very simple diagram to illustrate this. If anyone could help me calculate this force that would be most helpful.

I understand as the wheel is traveling along the road its normal reaction force (Nr) upwards is equal to that of the downwards force of the car (Mg) however when the wheel travels over the speed hump the normal reaction force increase as it is gains a greater upwards force (Ma).

if the car was traveling over the speed hump at 20 meteres per second what would be the upwards force of the wheel Ma ?








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hi cjh1990! :smile:

if the road is straight, then the vertical acceleration = 0, so normal force = weight

if the road is curved, then the vertical acceleration = … ?, so normal force = weight ± … ? :wink:
 

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