Two cars of masses M and 2 M travel at the same speed around a banked curve- of radius r- which is covered with ice- If the first car negotiates the curve without slipping- the second car will -A- Also negotiate the curve without slippingB- Tend to slide towards the inside of the curve-C- Tend to slide away from inside of the curveD- Cannot be predicated without knowledge of the ratio v - r-

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Two cars of m...

Question

Two cars of masses M and 2M travel at the same speed around a banked curve, of radius r, which is covered with ice. If the first car negotiates the curve without slipping, the second car will :

Also negotiate the curve without slipping

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Tend to slide towards the inside of the curve.

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Tend to slide away from inside of the curve

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Cannot be predicated without knowledge of the ratio v/r.

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Solution

The correct option is A
Also negotiate the curve without slipping

The velocity in the absence of friction and with a given angle of incline and radius of curvature, will ensure that the vehicle will remain in its designated path. The magnitude of this velocity is also known as the "rated speed" (or "balancing speed" for railroads") of a turn or curve. Notice that the rated speed of the curve is the same for all massive objects, and a curve that is not inclined will have a rated speed of 0.

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