I am having trouble working this problem. If someone couldhelp me I would apprec
ID: 1726969 • Letter: I
Question
I am having trouble working this problem. If someone couldhelp me I would appreciate it. A student sits at rest on a piano stool that can rotatewithout friction. The moment of inertia of the student-stoolsystem is 4.1 kg-m2. A second student tosses a1.5-kg mass with a speed of 2.7 m/s to the student on thestool, who catches it at a distance of 0.40 m from the axisof rotation. What is the resulting angular speed of thestudent and the stool? Also, (a) does the kinetic energy of the mass-student-stoolsystem increase, decrease, or stay the same as the mass iscaught? (b) calculate the initial and final kinetic energiesof the system. Thank You. I am having trouble working this problem. If someone couldhelp me I would appreciate it. A student sits at rest on a piano stool that can rotatewithout friction. The moment of inertia of the student-stoolsystem is 4.1 kg-m2. A second student tosses a1.5-kg mass with a speed of 2.7 m/s to the student on thestool, who catches it at a distance of 0.40 m from the axisof rotation. What is the resulting angular speed of thestudent and the stool? Also, (a) does the kinetic energy of the mass-student-stoolsystem increase, decrease, or stay the same as the mass iscaught? (b) calculate the initial and final kinetic energiesof the system. Thank You.Explanation / Answer
Given that the moment of inertia of student-stool is I= 4.1 kg.m2 Mass of body is m = 1.5kg Initial speed is u = 2.7 m/s Separation between the mass and axis of rotation is d = 0.40 -------------------------------------------- Consider student and the mass as a system there is noexternal force on the system so the angular momentum conserved Total initial angular momentum = total final angular momentum m v d = ( I + m d2) = m v d / ( I + md2 ) = -------- rad/s
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