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Find the maximum speed at which a truck ...

Find the maximum speed at which a truck can safaly travel without toppling over, on a curve of radius `250m` . The height of the centre of gravity of the truck above the ground is `1.5m` and the distance between the wheels is `1.5m` , the truck being horizontal.

Text Solution

Verified by Experts

The correct Answer is:
C

In critical case, normal reaction on inner wheel `N_(i)` will become zero. Normal reaction on outer wheel `N_(0)=mg` . Friction will provide the necessary centripetal force.
:. `f=(mv^(2))/(R)`
Taking moment aboout `C`
`N_(0)(x)=f(h)`
or `(mg)x=((mv^(2))/(R))h`
:. `v=sqrt((gRx)/(h))`
`=sqrt((9.8xx250xx0.75)/(L5))`
`=35m//s`
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