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F, Problem 5: A uniform disk of mass m = 3.6 kg and radius R = 16 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F = 5.5 N, F2 = 2.5 N, F3 = 6.5 N and F4 = 7.5 N. F, and F4 act a distance d = 3.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 3.6 kg R = 16 cm 45° 53 F = 5.5 N F2 = 2.5 N F3 = 6.5 N F4 = 7.5 N d = 3.5 cm Part (a) Write an expression for the magnitude t of the torque due to force F1. Expression : T1 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(53), a, ß, 0, d, F1, F4, g, h, j, m, P, R, t Part (b) Calculate the magnitude t, of the torque due to force F,, in N-m. Numeric : A numeric value is expected and not an expression. T1 = Part (c) Write an expression for the magnitude t2 of the torque due to force F2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. cos(4), cos(0), cos(53), sin(4), sin(0), sin(53), a. B, 0, d, F1, F2, F4, g, h, j, m, P, R, t Part (d) Calculate the magnitude T2 of the torque due to force F2, in N•m. Numeric : A numeric value is expected and not an expression. Part (e) Write an expression for the magnitude 73 Expression : the torque due to force F3. T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(45), sin(53), a, ß, 0, d, F1, F3, F4, g, h, m, R, t Part (f) Write an expression for the magnitude t4 of the torque due to force F4. Expression : T4 =

F, Problem 5: A uniform disk of mass m = 3.6 kg and radius R = 16 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F = 5.5 N, F2 = 2.5 N, F3 = 6.5 N and F4 = 7.5 N. F, and F4 act a distance d = 3.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 3.6 kg R = 16 cm 45° 53 F = 5.5 N F2 = 2.5 N F3 = 6.5 N F4 = 7.5 N d = 3.5 cm Part (a) Write an expression for the magnitude t of the torque due to force F1. Expression : T1 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(53), a, ß, 0, d, F1, F4, g, h, j, m, P, R, t Part (b) Calculate the magnitude t, of the torque due to force F,, in N-m. Numeric : A numeric value is expected and not an expression. T1 = Part (c) Write an expression for the magnitude t2 of the torque due to force F2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. cos(4), cos(0), cos(53), sin(4), sin(0), sin(53), a. B, 0, d, F1, F2, F4, g, h, j, m, P, R, t Part (d) Calculate the magnitude T2 of the torque due to force F2, in N•m. Numeric : A numeric value is expected and not an expression. Part (e) Write an expression for the magnitude 73 Expression : the torque due to force F3. T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(45), sin(53), a, ß, 0, d, F1, F3, F4, g, h, m, R, t Part (f) Write an expression for the magnitude t4 of the torque due to force F4. Expression : T4 =

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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Problem 5: A uniform disk of mass m = 3.6 kg and radius R = 16 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 5.5 N, F2 = 2.5 N, F3 = 6.5 N and F4 = 7.5 N. F2 and F4 act a F, distance d = 3.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 3.6 kg R = 16 cm 45° 53° F1 = 5.5 N F2= 2.5 N F3 = 6.5 N F4 = 7.5 N d = 3.5 cm Part (a) Write an expression for the magnitude t, of the torque due to force F1- Expression : T1 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(53), a, ß, 0, d, F1, F4, g, h, j, m, P, R, t Part (b) Calculate the magnitude t, of the torque due to force F1, in N•m. Numeric : A numeric value is expected and not an expression. T1 =. Part (c) Write an expression for the magnitude t2 of the torque due to force F2. Expression : T2 = Select from the variables below to write your expression. Note that all variables may not be required. cos(), cos(0), cos(53), sin(4), sin(0), sin(53), a, ß, 0, d, F1, F2, F4, g, h, j, m, P, R, t Part (d) Calculate the magnitude t, of the torque due to force F2, in N•m. Numeric : A numeric value is expected and not an expression. T, = The Ex Part (e) Write an expression for the magnitude t3 of the torque due to force F3. Expression : T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(45), sin(53), a, B, 0, d, F1, F3, F4, g, h, m, R, t Part (f) Write an expression for the magnitude t4 of the torque due to force F4. Expression : T4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), cos(53), sin(a), sin(4), sin(0), sin(53), a, d, F1, F4, m, R, t Part (g) Calculate the magnitude 14 of the torque due to force F4, in N•m. Numeric : A numeric value is expected and not an expression. T4 = 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. Numeric : A numeric value is expected and not an expression. a =
Transcribed Image Text:Problem 5: A uniform disk of mass m = 3.6 kg and radius R = 16 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 5.5 N, F2 = 2.5 N, F3 = 6.5 N and F4 = 7.5 N. F2 and F4 act a F, distance d = 3.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 3.6 kg R = 16 cm 45° 53° F1 = 5.5 N F2= 2.5 N F3 = 6.5 N F4 = 7.5 N d = 3.5 cm Part (a) Write an expression for the magnitude t, of the torque due to force F1- Expression : T1 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(53), a, ß, 0, d, F1, F4, g, h, j, m, P, R, t Part (b) Calculate the magnitude t, of the torque due to force F1, in N•m. Numeric : A numeric value is expected and not an expression. T1 =. Part (c) Write an expression for the magnitude t2 of the torque due to force F2. Expression : T2 = Select from the variables below to write your expression. Note that all variables may not be required. cos(), cos(0), cos(53), sin(4), sin(0), sin(53), a, ß, 0, d, F1, F2, F4, g, h, j, m, P, R, t Part (d) Calculate the magnitude t, of the torque due to force F2, in N•m. Numeric : A numeric value is expected and not an expression. T, = The Ex Part (e) Write an expression for the magnitude t3 of the torque due to force F3. Expression : T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(53), sin(45), sin(53), a, B, 0, d, F1, F3, F4, g, h, m, R, t Part (f) Write an expression for the magnitude t4 of the torque due to force F4. Expression : T4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), cos(53), sin(a), sin(4), sin(0), sin(53), a, d, F1, F4, m, R, t Part (g) Calculate the magnitude 14 of the torque due to force F4, in N•m. Numeric : A numeric value is expected and not an expression. T4 = 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. Numeric : A numeric value is expected and not an expression. a =
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