Physics II workshop_Part_53

Physics II workshop_Part_53 - Uniform cone Now lets try a...

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108 Uniform cone Now let’s try a 3-d object. The cone has a uniform density ρ . Decide where to place your origin of co- ordinates. Let z be the vertical axis. It is easy to determine X CoM and Y CoM from symmetry, but to get Z CoM you need to evaluate the integral Z CoM = 1 M z ρ dV . Luckily this can be reduced to an integral over z using the same kind of procedure you used for the triangle. It will help to remember that the area of a circle of radius x is is π x 2 . Also, the volume of the cone is V = 1 3 π R 2 H . H R
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109 Impulse in Real Collisions We have discussed Conservation of Momentum when a system is isolated so that the Net External Force is zero. This is rarely true in the real world. Here you can determine how to deal with such real situations. One ball collides with another ball in the air above your head. The system will be the two balls, and the
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