Kinetic Energy - Spring Stiffness

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SUMMARY

The discussion focuses on calculating the total kinetic energy of a 100 kg container mounted on two 15 kg wheels traveling at 4 m/s and determining the required spring stiffness to bring the vehicle to rest over a distance of 300 mm. The total kinetic energy (KE) is calculated using the formula KE = (1/2)MV^2, resulting in 920 Nm. The spring stiffness required for deceleration is yet to be determined, with participants seeking guidance on the calculation process.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with spring mechanics and stiffness
  • Knowledge of rotational motion principles
  • Basic physics concepts related to mass and velocity
NEXT STEPS
  • Research the calculation of spring stiffness using Hooke's Law
  • Explore the principles of rotational kinetic energy
  • Learn about energy conservation in mechanical systems
  • Investigate the dynamics of deceleration and stopping distances
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in vehicle dynamics and mechanical design will benefit from this discussion.

Kev1n
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1. A container of mass 100kg runs on overhead rails. the container is mounted on two wheels each having a mass of 15 kg,a diameter of 1.2 m and a radius of gyration of 0.4 m.
A)the total kinetic energy of the vehicle when traveling at 4ms-1
B) the spring stiffness reguired to bring the vehicle to rest in a distance of 300mm.




2. KE=(1/2)MV^2, Spring KE = (1/2) x stiffness x displacement ^2



3. A). KE = (1/2) 115x4^2 = 920nm
B). unsure

any pointers appreciated
 
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Total energy = Energy due to transactional motion of container + two wheels, and energy due to rotational motion of wheels.
 

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