HW#10 Begin Date: 7/21/2017 5:00:00 PM-Due Date: 7/25/2017 11:59:00 PM End Date:
ID: 1633427 • Letter: H
Question
HW#10 Begin Date: 7/21/2017 5:00:00 PM-Due Date: 7/25/2017 11:59:00 PM End Date: 7/25/2017 11:59:00 PM (8%) Problem 3: A thin cylindrical ring starts from rest at a height hi- 94 m. The ring has a radius R 26 cm and a mass M-I kg ©theexpertta.com 20% Part (a) Write an expression for the rings initial energy at point l, assuming that the gravitational potential energy at point 3 s zero 0% Grade Summary Deductions Potential 100% Submissions Attempts remaining: 10 (000 per attempt) detailed view BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 1 Feedback: 3% deduction per feedback. 20% Part (b) If the ring rolls (without slipping) all the way to point 2 what is the ring's energy at point 2 in terms of h2 and v2? 20% Part (c) Given h,-41 m, what is the velocity of the ring at point 2 in m/s? 2006 Part (d) what is the ring's rotational velocity in rad/s? 20% Part (e) After passing point 2 the hill becomes frictionless and the ring's rotational velocity remains constant. What is the linear velocity of the ring at point 3 in m/s?Explanation / Answer
a) Initial energy = mgh1
b) Enegry = mgh2 + 0.5*Iv^2/r^2 + 0.5mv^2
c) 9.81*94 = 9.81*41 + v^2
v = 22.8 m/s
d) w = v/r = 87.7 rad/s
e) 9.81*94 = 0.5*22.8^2 + 0.5*v^2
v = 36.39 m/s
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