A merry-go-round is composed of an inner disk of mass M1 radius R1 = 2 m and an outer disk of mass M2 = 2000 kg and radius R2 = 5 m. Three passengers, each of mass m = 70 kg (represented by solid black dots) sit along the outer edge of the merry-go-round as shown in the figure = 1000 kg and %D %3D below.

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Chapter1: Units, Trigonometry. And Vectors
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R2 please solve again but write out all steps and reasoning. The second photo shows the work and answers.

QuestionR.2.
A merry-go-round is composed of an inner disk of mass M1
radius R1 = 2 m and an outer disk of mass M2
m. Three passengers, each of mass m
1000 kg and
2000 kg and radius R2 = 5
70 kg (represented by solid black
dots) sit along the outer edge of the merry-go-round as shown in the figure
below.
Rz
Figure 2: Setup for question 2
(a) What is the position vector of the center of mass of the merry-go-round
and its passengers?
(b) The motor of the merry-go-round begins to apply a torque of magnitude
T = 3200 Nm. How long does the merry-go-round take to reach an
angular velocity of w =
0.4 rad/s?
(c) What is the rotational kinetic energy of the merry-go-round and its
passengers at an angular velocity of w = 0.4 rad/s?
(d) As the merry-go-round rotates at w =
cuts out. If friction supplies a torque of magnitude Tf
many revolutions does the merry-go-round complete before coming to
0.4 rad/s the engine suddenly
250 Nm, how
rest?
Transcribed Image Text:QuestionR.2. A merry-go-round is composed of an inner disk of mass M1 radius R1 = 2 m and an outer disk of mass M2 m. Three passengers, each of mass m 1000 kg and 2000 kg and radius R2 = 5 70 kg (represented by solid black dots) sit along the outer edge of the merry-go-round as shown in the figure below. Rz Figure 2: Setup for question 2 (a) What is the position vector of the center of mass of the merry-go-round and its passengers? (b) The motor of the merry-go-round begins to apply a torque of magnitude T = 3200 Nm. How long does the merry-go-round take to reach an angular velocity of w = 0.4 rad/s? (c) What is the rotational kinetic energy of the merry-go-round and its passengers at an angular velocity of w = 0.4 rad/s? (d) As the merry-go-round rotates at w = cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to 0.4 rad/s the engine suddenly 250 Nm, how rest?
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