Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsRotational Dynamics4 Marks
Question
Think about the normal reactions. Where are those and how much are those?
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Answer
In a simplified vehicle model, we assume the normal reactions to act equally on all the four wheels, i.e., $mg/4$ on each wheel. However, the C.G. is not at the geometric centre of a vehicle and the wheelbase (i.e., the distance L between its front and rear wheels) affects the weight distribution of the vehicle. When a vehicle is not accelerating, the normal reactions on each pair of front and rear wheels are, respectively,
$N _{ f }=\frac{d_{ r }}{L} mg$ and $N _{ r }=\frac{d_{ f }}{L} mg$
where $d_r$ and $d_f$ are the distances of the rear and front axles from the C.G. [When a vehicle accelerates, additional torque acts on the axles and the normal reactions on the wheels change. So, as is common experience, a car pitches back (i.e., rear sinks and front rises) when it accelerates, and a car pitches ahead (i.e., front noses down). Rotation about the lateral axis is called pitch.]
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