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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 below. = 1000 kg and R2 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 = 0.4 rad/s the engine suddenly cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to rest? = 250 Nm, how

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 below. = 1000 kg and R2 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 = 0.4 rad/s the engine suddenly cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to rest? = 250 Nm, how

College Physics
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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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?
2) (R;cos 30, Resinso) a) M Rq (cos 30° - sia 30) 3M+ M,+ M2 70.5.( -) 2 %3D a 4 cm %3D 3.70 + 1000t2000 70.5.(술 목-1) MRq( sint30\+ cos 30 -1 3m + M, + Mz Ry z 4 cm 3.70 + 3000 Reom= (4?+4;) Inet = %3D d = [net = 3-70.5"41000. 2° + 2 000. 5? 3200 * 0.1 raya = 32,250 kgm? 32,250 0.4 프 0.1.+ |+: 4s c) KErot = Iw? =(32,250) (.4) = | 2,5 80 J Tnet= Ix Tret - w; = 2Tnet 0e I. -wI-(.4)'(32, 150) 2(-250) 2 Tnet e 10.32 rad # of revolutions 띠1.6 reV • W. AKEror סA אL %3D 3) Tnet We
Transcribed Image Text:2) (R;cos 30, Resinso) a) M Rq (cos 30° - sia 30) 3M+ M,+ M2 70.5.( -) 2 %3D a 4 cm %3D 3.70 + 1000t2000 70.5.(술 목-1) MRq( sint30\+ cos 30 -1 3m + M, + Mz Ry z 4 cm 3.70 + 3000 Reom= (4?+4;) Inet = %3D d = [net = 3-70.5"41000. 2° + 2 000. 5? 3200 * 0.1 raya = 32,250 kgm? 32,250 0.4 프 0.1.+ |+: 4s c) KErot = Iw? =(32,250) (.4) = | 2,5 80 J Tnet= Ix Tret - w; = 2Tnet 0e I. -wI-(.4)'(32, 150) 2(-250) 2 Tnet e 10.32 rad # of revolutions 띠1.6 reV • W. AKEror סA אL %3D 3) Tnet We
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