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Dynamics of uniform and non uniform circular motion

Question

A car passes along a curved path of a road according to figure moving with speed of 72 km h-1, radius of curve is 10 m. If mass of the car is 500 kg, reaction force (in kN) on car at lowest point of curved part will be _______.

Moderate
Solution

ac=v2r=72×100036002×110=40ms2

Fc=mac=(500×40)=20000N=20kN

Fg=mg=(500×10)=5000N=5kN

Reaction force, F=20kN+5kN=25kN



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