( 10 % ) Problem 10 : Riders a Viking ship hung from a large pivot are rotated b
ID: 2035089 • Letter: #
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( 10 % ) Problem 10 : Riders a Viking ship hung from a large pivot are rotated back and forth in an amusement park ride shaped like like a rigid pendulum. At each end of the swing the ship hangs motionless for a moment before the ship swings down under the influence of gravity. Assume that this motionless point occurs when the bar connecting the pivot point and the ship is horizontal. Randomized Variables r 12.8 m m-59 kg 33% Part (a) Assuming negligible friction find the speed of the riders at the bottom of its arc given the system's c nter of mass vels an arc having a radius of 12.8 m and the riders are near the center of mass in m/s. Grade Summary Deductions 0% Potential 100% vr- cotan0asinO acos0 atan0 acotan sinh0 coshO tanh0 cotanh0+ Atempts remaining: (0% per attempt) detailed view 0 Degrees O Radians Submit Hint I give up! Hints: 0% deduction per hint. Hints rennaining: 2 Feedback: 0%, deduction per feedback. 33% Part(b) what is the centripetal acceleration at the bottom of the are in m/s 33% Part (c) How many times her weight is the normal force exerted by the ride on a S9 kg rider?Explanation / Answer
(A) Applying energy conservation,
PEi + KEi = PEf + KEF
m g r + 0 = 0 + m v^2 /2
v = sqrt(2 x 9.8 x 12.8) = 15.8 m/s
(B) a_c = v^2 / r = 15.8^2 / 12.8
a_c = 19.6 m/s^2
(C) Fn - m g = m a_c
Fn = m (g + a_c)
Fb = 29.4m
ratio = Fn / W = 29.4m /9.8m = 3
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