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How does the normal force on a concave suspension bridge change when a vehicle is travelling on it with constant speed?

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Question

How does the normal force on a concave suspension bridge change when a vehicle is travelling on it with constant speed?

Very Short Answer
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Solution

At the lowest point, N − mg provides the centripetal force.

∴ N − mg = `(m v^2)/r`

So, N = `m(g + v^2/r)`

Therefore, N increases as v increases.

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Chapter 1: Rotational Dynamics - Intext Questions [Page 12]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 1 Rotational Dynamics
Intext Questions | Q 13. | Page 12
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