a cyclist peddling at a speed of 10m\s on a level road takes a sharp turn of radius 10m without reducing the speed the angle made by cyclist with vertical

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Q. A cyclist speeding at 18 km/h on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The co~efficient of static-friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

Q. If a cyclist takes a turn of radius

10 m

, going at a speed of

10 m / s

then find the angle through which he must bend in order to avoid overturning. [asume

g = 10 m / s^{2}

]

Q. Statement I : A cyclist is moving on an unbanked road with a speed of

7 {kmh}^{- 1}

and takes a sharp circular turn along a path of radius of

2 m

without reducing the speed. The static friction coefficient is

0.2.

The cyclist will not slip and pass the curve.

(g = 10 {m/s}^{2})

Statement II : If the road is banked at an angle of

45^{\circ}

, cyclist can cross the curve of

2 m

radius with the speed of

15 {kmh}^{- 1}

without slipping.

In the light of the above statements, choose the correct answer from the options given below.

If a cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is

Q. What is the smallest radius of a circular path on which a cyclist can travel with uniform speed of

36 k m h^{- 1}

, with angle of inclination (from vertical, for cyclist)

45^{\circ}

and

g = 10 m s^{- 2}

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