A uniform disk of mass m = 2.4 kg and radius R = 12 cm can rotate about anaxle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 =F,8.5 N, F2= 1.5 N, F3 = 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center ofmass. These forces are all in the plane of the disk.d.Randomized Variablesm = 2.4 kg45°R= 12 cm53F1 = 8.5 NF2 = 1.5 NF3= 8.5 NF4= 6.5 Nd= 4.5 cmPart (a) Write an expression for the magnitude 7, of the torque due to force F1.T] = F1 R V Correct!Part (b) Calculate the magnitude t, of the torque due to force F1, in N·m.Tj = 1.02 V Correct!Part (c) Write an expression for the magnitude 12 of the torque due to force F2.Part (d) Calculate the magnitude t, of the torque due to force F2, in N·m.Part (e) Write an expression for the magnitude t3 of the torque due to force F3.T3 = 0Correct!Part (f) Write an expression for the magnitude t4 of the torque due to force F4.Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m.Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s². Let the counter-clockwise direction be positive.a =

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A uniform disk of mass m = 2.4 kg and radius R= 12 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 8.5 N, F,= 1.5 N, F3= 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 2.4 kg 45° R= 12 cm 53 F, = 8.5 N F2= 1.5 N F3= 8.5 N F4= 6.5 N d= 4.5 cm Part (a) Write an expression for the magnitude 7, of the torque due to force Fj. T = F1 R VCorrect! Part (b) Calculate the magnitude 7, of the torque due to force F, in N m. T = 1.02 VCorrect! Part (c) Write an expression for the magnitude 72 of the torque due to force F2. Part (d) Calculate the magnitude t, of the torque due to force F, in N m. Part (e) Write an expression for the magnitude 73 of the torque due to force F3. T3 =0 V Correct! Part (f) Write an expression for the magnitude t, of the torque due to force F4. Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m. Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s. Let the counter-clockwise direction be positive. a =

A uniform disk of mass m = 2.4 kg and radius R= 12 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 8.5 N, F,= 1.5 N, F3= 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 2.4 kg 45° R= 12 cm 53 F, = 8.5 N F2= 1.5 N F3= 8.5 N F4= 6.5 N d= 4.5 cm Part (a) Write an expression for the magnitude 7, of the torque due to force Fj. T = F1 R VCorrect! Part (b) Calculate the magnitude 7, of the torque due to force F, in N m. T = 1.02 VCorrect! Part (c) Write an expression for the magnitude 72 of the torque due to force F2. Part (d) Calculate the magnitude t, of the torque due to force F, in N m. Part (e) Write an expression for the magnitude 73 of the torque due to force F3. T3 =0 V Correct! Part (f) Write an expression for the magnitude t, of the torque due to force F4. Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m. Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s. Let the counter-clockwise direction be positive. a =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 73PQ: A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its...

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