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: CENGAGE L
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[画像:R2 6 R m A mass m is constrained to the surface of a disk of radius R by a spring with spring constant k and unstretched length R/2. The disk lies in the horizontal plane (no gravity). The mass is attached to the disk in a shallow groove so that it cannot leave the surface. Constants for the problem are m = 0.2 kg, R = 0.25 m, k = 1000 N/m, μ = 0.15. of friction. 1) Write the equation of motion of the mass. Do not include the effect a. Integrate the EOM for 1 second starting from rest at (0) = π/2 radians. b. Plot, the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 2) Write the equation of motion of the mass including the effect of friction, with coefficient of kinetic friction u. Typically we let fμN- of changes. =μNsign(so that friction opposes motion as the sign a. Integrate the EOM for 1 second starting from rest at 0 (0) = π/2 radians. b. Plot the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 3) Improve the model so it behaves as you would anticipate the system behaving with friction. What did you do or change? a. Integrate the improved EOM for 1 second starting from rest at 0(0) = 7/2 radians. b. Plot 0, the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 4) Build an animation, in a single figure window with 3 subplots, that shows the motion of the 3 different systems for the 1 second of simulation time.]
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Transcribed Image Text:R2 6 R m A mass m is constrained to the surface of a disk of radius R by a spring with spring constant k and unstretched length R/2. The disk lies in the horizontal plane (no gravity). The mass is attached to the disk in a shallow groove so that it cannot leave the surface. Constants for the problem are m = 0.2 kg, R = 0.25 m, k = 1000 N/m, μ = 0.15. of friction. 1) Write the equation of motion of the mass. Do not include the effect a. Integrate the EOM for 1 second starting from rest at (0) = π/2 radians. b. Plot, the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 2) Write the equation of motion of the mass including the effect of friction, with coefficient of kinetic friction u. Typically we let fμN- of changes. =μNsign(so that friction opposes motion as the sign a. Integrate the EOM for 1 second starting from rest at 0 (0) = π/2 radians. b. Plot the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 3) Improve the model so it behaves as you would anticipate the system behaving with friction. What did you do or change? a. Integrate the improved EOM for 1 second starting from rest at 0(0) = 7/2 radians. b. Plot 0, the normal force, and total energy of the mass versus time. What do these plots mean physically and does that make sense? If not, why? Be specific. 4) Build an animation, in a single figure window with 3 subplots, that shows the motion of the 3 different systems for the 1 second of simulation time.
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