1,A motorist is making a vertical loop inside a ‘death well’. What is the minimum speed
required to perform a vertical loop if the radius of the chamber is 25 m?
2. The earth is assumed to be sphere of radius 6.37 x 106m. if a body of mass m is on the
surface of the earth, calculate the mass of the earth.
3. A 70 kg man stands in contact against the wall of a cylindrical drum of radius 3m rotating
about its vertical axis. The coefficient of friction between the wall and his clothing is 0.15.
What is the minimum rotational speed of the cylinder to enable the man to remain stuck to
the wall, when the floor is suddenly removed?
4. A circular race track of radius 500 m is banked at an angle of 200. Calculate the maximum
permissible speed to avoid slipping if
(a) there is no friction between the tires and the road.
(b) the coefficient of friction between the tires and the road is 0.15.
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