Rotational Motion, Rolling Motion

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SUMMARY

The discussion centers on a physics problem involving a 320 kg motorcycle with two wheels, each having a diameter of 52 cm and a rotational inertia of 2.1 kg*m². The motorcycle, along with its 75 kg rider, is coasting at 85 km/hr and encounters a hill. The key principle applied is the Conservation of Energy, represented by the equation Mgh = 1/2 Mv² + 1/2 Iω² + 1/2 Iω², where the last two terms account for the rotational kinetic energy of both wheels. The confusion arises regarding the presence of two rotational terms due to the motorcycle's two wheels.

PREREQUISITES
  • Understanding of Conservation of Energy principles in physics
  • Familiarity with rotational motion concepts, including rotational inertia
  • Knowledge of basic kinematics, particularly linear and angular velocity
  • Ability to perform calculations involving kinetic energy and gravitational potential energy
NEXT STEPS
  • Study the principles of Conservation of Energy in greater detail
  • Learn about rotational motion and its equations, focusing on rotational inertia
  • Explore the relationship between linear and angular velocity in rolling motion
  • Practice solving problems involving energy conservation in mechanical systems
USEFUL FOR

This discussion is beneficial for physics students, educators teaching mechanics, and anyone interested in understanding the dynamics of rotational motion and energy conservation in real-world scenarios.

mateomy
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Im looking over an example that was given in class that I jotted down in my notes; the question posed was...A 320 kg motorcycle includes two wheels each of which is 52 cm in diameter and has rotational inertia 2.1 kg*m^2. The cycle and its 75 kg rider are coasting at 85km/hr on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?


So anyway...professor used the Conservation of Energy...

[tex] Mgh= \frac{1}{2}Mv^2 + \frac{1}{2}I\omega^2 + \frac{1}{2}I\omega^2[/tex]

Im just confused on the last two terms. Is there 2 of them because of the two wheels?
 
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mateomy said:
Im just confused on the last two terms. Is there 2 of them because of the two wheels?

Yes.

ehild
 

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