+1 vote
in Machine Dynamics by (34.3k points)
The combined mass of bicycle and rider is 100 kg, they are travelling at the speed of 16 km/h on a level road. Diameter of rear wheel is 0.9m. How far will the bicycle travel after the application of brake? The pressure applied on the brake is 100 N and μ = 0.05.

(a) 200.1 m

(b) 197.2 m

(c) 98.6 m

(d) 124.3 m

This question was addressed to me in an online interview.

This interesting question is from Brakes topic in section Brakes and Dynamometers of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
Correct answer is (b) 197.2 m

Easiest explanation: Ft = μ.Rn = 0.05×100 = 5N

Let x be the distance travelled by the bicycle before coming to rest.

then

Ft.x = mv^2/2

x = 100×4.44^2/(2x 5)

= 197.2m.

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