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eurekameh
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Why is ft (the force due to the friction between the cylinder and the ramp) not included in the equation of motion?
Why Force Due to Friction Not in Equation of Motion?
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SUMMARY
The force due to friction (ft) is not included in the equation of motion for a cylinder rolling without slipping. This is because the frictional force does not perform work on the cylinder in this scenario, as it is responsible for the rolling motion rather than opposing it. The equation of motion remains valid as it accounts for the translational and rotational dynamics separately, ensuring accurate representation of the system's behavior.
PREREQUISITES- Understanding of Newton's laws of motion
- Familiarity with the concept of rolling motion
- Knowledge of torque and its relation to rotational dynamics
- Basic principles of friction in physics
- Study the principles of rolling without slipping in detail
- Explore the relationship between torque and angular acceleration
- Investigate the role of static friction in rolling motion
- Learn about the equations of motion for rigid bodies
Physics students, educators, and anyone interested in understanding the dynamics of rolling objects and the implications of friction in motion equations.
Why is ft (the force due to the friction between the cylinder and the ramp) not included in the equation of motion?
- #2
NascentOxygen
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Because the cylinder "rolls without slipping".eurekameh said:
- #3
eurekameh
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For this situation, is my Fx equation of motion not true then?
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