Statement I: A cyclist is moving on an unbanked road with a speed of 7 km h - 1 and takes a sharp circular turn along a path of the radius of 2 m without reducing the speed. The static friction coeffi

Question

Statement I: A cyclist is moving on an unbanked road with a speed of $7 km h^{- 1}$ and takes a sharp circular turn along a path of the radius of $2 m$ without reducing the speed. The static friction coefficient is $0.2$ . The cyclist will not slip and pass the curve $(g = 9.8 m s^{- 2})$

Statement II : If the road is banked at an angle of $45 °$ , cyclist can cross the curve of $2 m$ radius with the speed of $18.5 km h^{- 1}$ without slipping. In the light of the above statements, choose the correct answer from the options given below.

TestHub · Accepted Answer

Statement I v max = μ R g = 0 . 2 × 2 × 9 . 8 v max = 1 . 97 m s - 1 7 km h - 1 = 1 . 944 m s - 1 Speed is lower than v max , hence it can take safe turn. Statement II v max = Rg tanθ + μ 1 - μtanθ = 2 × 9 . 8 1 + 0 . 2 1 - 0 . 2 = 5 . 42 m s - 1 18 . 5 km h - 1 = 5 . 14 m s - 1 Speed is lower than v max , hence it can take safe turn.

Physics - Circular Motion Question with Solution | TestHub

Options:

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