Problem 11.71 A student sits at rest on a piano stool that can rotate without fr
ID: 1313746 • Letter: P
Question
Problem 11.71
A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.3kg?m2 . A second student tosses a 1.1kg mass with a speed of 3.0m/s to the student on the stool, who catches it at a distance of 0.35m from the axis of rotation.
Part A
What is the resulting angular speed of the student and the stool?
Express your answer using two significant figures.
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Problem 11.71
A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.3kg?m2 . A second student tosses a 1.1kg mass with a speed of 3.0m/s to the student on the stool, who catches it at a distance of 0.35m from the axis of rotation.
Part A
What is the resulting angular speed of the student and the stool?
Express your answer using two significant figures.
?f = rad/sSubmitMy AnswersGive Up
Explanation / Answer
Initial angular momentum of the system = stundent's + 1.1 kg mass's
= 0 + 1.1*3*.35
Final angular momentun = Iw = (4.3+1.1*0.35^2)w
using conservation of angular momentum
w = .26 rad/s