Question 1
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In a manufacturing plant as part of a certain process, a cylindrical drum of diameter 0.7 m and mass 15kg is rolled down an incline from rest. The radius of gyration of each drum is 0.3m. If the drum rolls down the slope without slipping and descends a height of 0.5m, calculate the following:
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The moment of inertia, I, of the drum
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The angular velocity of the drum
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The linear velocity of the drum
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The potential energy lost by the drum
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The kinetic energy gained by the drum
Given that the angular velocity ω, is calculated using the equation; (P 2.2)
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Using the principle of conservation of energy derive the equation for ω given in question 1. (M 3)
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