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Question

What is the centripetal force experienced by a bike of weight 800 N moving at a velocity v m/s and bending with an angle of 60 with the ground?

A
462.43 N
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B
400 N
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C
692.8 N
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D
565.68 N
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Solution

The correct option is A 462.43 N
Given that bike is bending at an angle of 60 from the ground.
Angle with the vertical, θ=9060=30


From the FBD,
R is the total reaction force.

Rcosθ=mg=800 N(1)
and Centripetal force Fc=Rsinθ(2)

Dividing (2) by (1),
tanθ=Fc800=tan30
Fc=8003=461.88 N

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