Moment Of Inertia and Angular Momentum 3. A 35-kg child is sitting along the rim of a merry-go- round that is rotating at 0.35 revolutions per second about its symmetry axis. The mass and the radius of the merry-go-round are 85 kg and 8 m, respectively. Assume that you can treat the child as a point particle and you can model the merry-go-round as a disc. a. Calculate the moment of inertia of the system about its axis of symmetry. Hint: Compute for the moment of inertia of the child (Ichita = mchita™m³) and the of inertia of the merry-go-round moment (moment of inertia for a solid disc is mr² so Im =mmFm*) first then compute for the sum, Irotal = Ichita + Im- %3D b. Calculate the total angular momentum of the system. Hint: Use the moment of inertia of the whole system, Itotat acquired from letter a, then use: L = lw. %3D

Moment Of Inertia and Angular Momentum 3. A 35-kg child is sitting along the rim of a merry-go- round that is rotating at 0.35 revolutions per second about its symmetry axis. The mass and the radius of the merry-go-round are 85 kg and 8 m, respectively. Assume that you can treat the child as a point particle and you can model the merry-go-round as a disc. a. Calculate the moment of inertia of the system about its axis of symmetry. Hint: Compute for the moment of inertia of the child (Ichita = mchita™m³) and the of inertia of the merry-go-round moment (moment of inertia for a solid disc is mr² so Im =mmFm*) first then compute for the sum, Irotal = Ichita + Im- %3D b. Calculate the total angular momentum of the system. Hint: Use the moment of inertia of the whole system, Itotat acquired from letter a, then use: L = lw. %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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Moment Of Inertia and Angular Momentum
3. A 35-kg child is sitting along the rim of a merry-go-
round that is rotating at 0.35 revolutions per second
about its symmetry axis. The mass and the radius of the
merry-go-round are 85 kg and 8 m, respectively.
Assume that you can treat the child as a point particle
and you can model the merry-go-round as a disc.
a. Calculate the moment of inertia of the system about its axis of
symmetry.
Hint: Compute for the moment of inertia of the child (Ichild = mchila™m³) and the
тотеnt
of
inertia
of
the
merry-go-round
(moment of inertia for a solid disc is mr² so Im = =mmFm³) first then compute for
the sum, Itotal = Ichila + Im.
b. Calculate the total angular momentum of the system.
Hint: Use the moment of inertia of the whole system, Itotal acquired from letter
a, then use: L = lw.

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