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We are going to examine a uniform copper cone. The cone has a height of 3...

  1. We are going to examine a uniform copper cone. The cone has a height of 3 cm and a base diameter of 2 cm.

    1. Calculate the mass of the cone. You may use the equation for the volume of a cone if you wish.

    2. Starting from the definition equation for center of mass, calculate the center of mass of the cone. The point is to learn to calculate the center of mass, not to find the equation and plug in numbers

      1. You will only need to do this in one dimension, as long as you think about the cone being made up of many very thin uniform discs/cylinders. Make sure you understand and explain the reasoning for this.

    3. Using the known moment of inertia for discs/cylinders, calculate the moment of inertia of the cone, if spun on its tip like a top. The point is to learn to calculate the moment of inertia, not to find the equation and plug in numbers.

      1. You will again only need a 1 dimensional integral, as long as you think about the cone being made up of many very thin uniform discs/cylinders.

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