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Grade: 11

                        

A wheel of mass M and radius of gyration k (see Exercise 20) spins on a fixed horizontal axle passing through its hub. Assume that the hub rubs the axle of radius a at only the top- most point, the coefficient of kinetic friction being The wheel is given an initial angular velocity Assume uniform deceleration and find (a) the elapsed time and (b) the number of revolutions before the wheel comes to a stop

5 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
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236-855_1.PNG
The time taken by the wheel to stop is:
236-1133_1.PNG
Here ω0 is the initial angular velocity of the wheel.
236-8_1.PNG
236-2454_1.PNG
It is important to note that the angle θ is in radians and not in revolution. Therefore one can convert the angle to revolutions by dividing θ by 2π as:
236-869_1.PNG
5 years ago
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