Question: In Problem 13.42, determine the range of values of h for which the roller coaster will not leave the track at D or E, knowing

In Problem 13.42, determine the range of values of h for which the roller coaster will not leave the track at D or E, knowing that the radius of curvature at E is ρ = 75 ft. Assume no energy loss due to friction.

A roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of 40-ft diameter, and moves up and down past Point E. Knowing that h = 60 ft and assuming no energy loss due to friction,

Determine
- The force exerted by his seat on a 160-lb rider at B and D,
- The minimum value of the radius of curvature at E if the roller coaster is not to leave the track at that point.

D r=20ft

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