5.38 You may have seen in a circus a motorcyclist driving in vertical loops inside a death well’ (a hollow spherical chamber with holes, so the spectators can watch from outside).
Explain clearly why the motorcyclist does not drop down when he is at the uppermost point, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m ?
5.38 You may have seen in a circus a motorcyclist driving in vertical loops inside a death well’ (a hollow spherical chamber with holes, so the spectators can watch from outside).
Explain clearly why the motorcyclist does not drop down when he is at the uppermost point, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m ?
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1 Answer
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When the motorcyclist is at the uppermost point of the death well, the normal reaction R on the motorcyclist by the ceiling of the chamber acts downwards. His weight mg also acts downwards. The outward centrifugal force acting on the motorcyclist is balanced by two forces.
R + mg = m , where v is the velocity and m is the combined mass of the motorcycle and motorcyclist
Because of the balance between the forces, the motorcyclist does not fall.
The minimum speed required at the uppermost position to perform a vertical loop is given by R = 0 in the above equation.
So mg = m or v = = = 15.8 m/s
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