Assertion and Reason: Overturning of Automobile – Rankers Physics
Topic: Circular Motion
Subtopic: Dynamics of Circular Motion

Assertion and Reason: Overturning of Automobile

Assertion (A): When an automobile while going too fast around a curve overturns, its inner wheels leave the ground first.
Reason (R): The inner wheels are moving in a circle of smaller radius, the maximum permissible velocity for them is less.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true: Overturning occurs when the centrifugal force moment exceeds the stabilizing moment, causing the inner wheels to lift.


Reason (R) is true: The maximum safe velocity \( v_{\text{max}} = \sqrt{mu gr} \), so a smaller radius \( r \) means a smaller \( v_{\text{max}} \). However, (R) does not explain the overturning mechanism itself. Thus, (R) is not the correct explanation of (A).

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