Part (1): 3 kg wheel has an outer radius of 450 mm rolls down an incline starting from rest. The wheel radius of gyration is 0.2333 m. Determine the linear and angular velocities if it rolls down without slipping and descends a height of 1.5 m. Analyze the energy transfer in this mechanical motion by comparing the energy value before and after. In case there is slipping condition, would the acceleration be uniform, and briefly explain how this will affect the energy transfer in the belt and the estimated efficiency value (no more than 20 words) 1. Figure.1: Rolling wheel on the down slope

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Part (1): 3 kg wheel has an outer radius of 450 mm rolls down an incline starting from rest. The wheel
radius of gyration is 0.2333 m. Determine the linear and angular velocities if it rolls down without
slipping and descends a height of 1.5 m. Analyze the energy transfer in this mechanical motion by
comparing the energy value before and after. In case there is slipping condition, would the acceleration
be uniform, and briefly explain how this will affect the energy transfer in the belt and the estimated
efficiency value (no more than 20 words)
1.
R
Figure.1: Rolling wheel on the down slope
Part (2): Derive the energy equation for potential, linear kinetic, angular kinetic and strain energy.
Explain using simple sketches your derivation and state the main assumption for this effect of energy
transformation
2.
Transcribed Image Text:Part (1): 3 kg wheel has an outer radius of 450 mm rolls down an incline starting from rest. The wheel radius of gyration is 0.2333 m. Determine the linear and angular velocities if it rolls down without slipping and descends a height of 1.5 m. Analyze the energy transfer in this mechanical motion by comparing the energy value before and after. In case there is slipping condition, would the acceleration be uniform, and briefly explain how this will affect the energy transfer in the belt and the estimated efficiency value (no more than 20 words) 1. R Figure.1: Rolling wheel on the down slope Part (2): Derive the energy equation for potential, linear kinetic, angular kinetic and strain energy. Explain using simple sketches your derivation and state the main assumption for this effect of energy transformation 2.
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