Riders in an amusement park ride shaped like a Viking ship hung from a large pivot are rotated back and forth like a rigid pendulum. Sometime near the middle of the ride, the ship is momentarily motionless at the top of its circular arc. The ship then swings down under the influence of gravity.
(a) Assuming negligible friction, find the speed (in m/s) of the riders at the bottom of its arc, given the system's center of mass travels in an arc having a radius of 14.6 m and the riders are near the center of mass. (Assume the top of the circular arc is when the pendulum arm is horizontal. __m/s
(b)
What is the centripetal acceleration (in m/s2) at the bottom of the arc?
____m/s2
(c) Draw a free body diagram of the forces acting on a rider at the bottom of the arc.
(d) Find the force (in N) exerted by the ride on a 54.0 kg rider. (Enter the magnitude of the force when then the ride is at the bottom of its arc.)
_____N
Compare it to her weight.
The normal force is approximately three times her weight.
(e) Discuss whether the answer seems reasonable.