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Assume that box B starts from rest at a distance r = 0.5m from pin A. At time t = 0, the arm is at an angle of 0= 0°, and then starts moving at a constant angular acceleration of = 2 . Note that the motion occurs in the vertical plane and that the coefficient of static friction between the box and arm is l = 0.5. Calculate and plot the angle at which the box begins to slip. You must show all diagrams such as the Free Body Diagram/s and Kinetic Diagram/s. Hint: You might want to start with the kinematics and express 0 and as a function of time. Solving the equations of motion might require you to solve a nonlinear equation (in time) which you can try do by plotting the resulting equation as a function of time and finding at what time the function becomes zero. B A

Assume that box B starts from rest at a distance r = 0.5m from pin A. At time t = 0, the arm is at an angle of 0= 0°, and then starts moving at a constant angular acceleration of = 2 . Note that the motion occurs in the vertical plane and that the coefficient of static friction between the box and arm is l = 0.5. Calculate and plot the angle at which the box begins to slip. You must show all diagrams such as the Free Body Diagram/s and Kinetic Diagram/s. Hint: You might want to start with the kinematics and express 0 and as a function of time. Solving the equations of motion might require you to solve a nonlinear equation (in time) which you can try do by plotting the resulting equation as a function of time and finding at what time the function becomes zero. B A

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.24P: A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The...
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NAME: Assume that box B starts from rest at a distance r = 0.5m from pin A. At time t = 0, the arm is at an angle of 0= 0°, and then starts moving at a constant angular acceleration of ë = 2d. Note that the motion occurs in the vertical plane and that the coefficient of static friction between the box and arm is Hs = 0.5. Calculate and plot the angle at which the box begins to slip. You must show all diagrams such as the Free Body Diagram/s and Kinetic Diagram/s. Hint: You might want to start with the kinematics and express 0 and as a function of time. Solving the equations of motion might require you to solve a nonlinear equation (in time) which you can try do by plotting the resulting equation as a function of time and finding at what time the function becomes zero. r B A
Transcribed Image Text:NAME: Assume that box B starts from rest at a distance r = 0.5m from pin A. At time t = 0, the arm is at an angle of 0= 0°, and then starts moving at a constant angular acceleration of ë = 2d. Note that the motion occurs in the vertical plane and that the coefficient of static friction between the box and arm is Hs = 0.5. Calculate and plot the angle at which the box begins to slip. You must show all diagrams such as the Free Body Diagram/s and Kinetic Diagram/s. Hint: You might want to start with the kinematics and express 0 and as a function of time. Solving the equations of motion might require you to solve a nonlinear equation (in time) which you can try do by plotting the resulting equation as a function of time and finding at what time the function becomes zero. r B A
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