A track consists of two circular points ABC and CDE of equal radius 100 m and joined smoothly as shown. Each part subtends a right angle at its center. A cyclist weighing 100 kg together with the cycle travels at a constant speed 1 km h -1 on the track. Find the normal force between the road and the cycle just before and just after the cycle crosses C.
Text Solution
Verified by ExpertsThe correct answer is:
D
just before crossing C
N = mg cos 45 – mv 2 /r
= 100 × 10 × .707 - 
= 682 N
just after crossing CN = mg cos 45 + 
= 707 + 25 = 732 N
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