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3-2.Motion in Plane
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Find wrong statement
AA car moving over a convex bridge is lighter than the same car resting on the same bridge
BA car moving over a convex bridge is heavier than the same car resting on the same bridge
CA car moving over a concave bridge is heavier than the same car resting on the same bridge
DThe weight of the car changes due to the centrifugal force for above cases
Solution
For convex bridge
$\mathrm{Mg}-\mathrm{N}=\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}=\mathrm{mg}-\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}<\mathrm{mg}$
For concave bridge
$\mathrm{N}-\mathrm{mg}=\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}=\mathrm{mg}+\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$N>m g$
$\mathrm{Mg}-\mathrm{N}=\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}=\mathrm{mg}-\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}<\mathrm{mg}$
For concave bridge
$\mathrm{N}-\mathrm{mg}=\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$\mathrm{N}=\mathrm{mg}+\frac{\mathrm{mv}^{2}}{\mathrm{R}}$
$N>m g$
Standard 11
Physics
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