Q. In a rotor, a hollow vertical cylinder rotates about its axis and a person rest against the inner wall. At a particular speed of the rotor, the floor below the person is removed and the person hangs resting against the wall without
any floor. If the radius of the rotor is 2 m and the coefficient of static firction between the wall and the person is 0.2. Find the minimum speed at which the floor may be removed.
any floor. If the radius of the rotor is 2 m and the coefficient of static firction between the wall and the person is 0.2. Find the minimum speed at which the floor may be removed.
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Answer:
10 m/s
Explanation:
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The minimum speed at which the person remains at rest even when the floor is removed will be 10 m/s
The minimum speed at which the person remains at rest even when the floor is removed, is given by,
where,
R = radius of the rotor = 2 m
g = acceleration due to gravity = 10 m/s²
u = co-efficient of friction = 0.2
Putting these value in the above formula we get,
Hence, The minimum speed at which the person remains at rest even when the floor is removed will be 10 m/s