On a midway ride called The Round Up, participants climb into a cylindrical apparatus and stand upright with their backs against the wall of the cylinder. The apparatus begins to spin, first in the horizontal plane and then tipping into the vertical plane so that the riders’ bodies are parallel to the ground below. Consider a rider of mass 60.0 kg. The radius of the apparatus is 8.0 m and it spins with a period of 4.0 s. (a) Determine the centripetal force acting on the person when the apparatus is still in the horizontal plane. Provide the appropriate free-body diagram and state the force that supplies the centripetal force in this situation. (b) Draw the free-body diagram of the person at the bottom of the apparatus when spinning in the vertical plane and determine how heavy the person feels at that position (i.e., what is the value of the normal force at that position?). (c) What minimum speed must the person be moving with in order to keep from falling away from the side of the cylinder when rotating in the vertical plane? State where in the circle this would occur and draw the appropriate free-body diagram.
On a midway ride called The Round Up, participants climb into a cylindrical apparatus and stand upright with their backs against the wall
of the cylinder. The apparatus begins to spin, first in the horizontal plane and then tipping into the vertical plane so that the riders’ bodies
are parallel to the ground below. Consider a rider of mass 60.0 kg. The radius of the apparatus is 8.0 m and it spins with a period of 4.0 s.
(a) Determine the
(b) Draw the free-body diagram of the person at the bottom of the apparatus when spinning in the vertical plane and determine how heavy
the person feels at that position (i.e., what is the value of the normal force at that position?).
(c) What minimum speed must the person be moving with in order to keep from falling away from the side of the cylinder when rotating
in the vertical plane? State where in the circle this would occur and draw the appropriate free-body diagram.
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