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Center of Mass-Integrals
Find the center of mass of a homogeneous solid cone of base 2a and height h, as shown in the image. Please show the whole step by step without jumping integrals or steps, explain what you can best, and how to get the differentials
Let mass of cone is M.
Radius of cone is 2a.
Height of cone is h.
By symmetry centre of mass will have only z - component.
Step by step
Solved in 3 steps with 1 images
- Merry-go-round Fir for maximum a Consider the father pushing a playground merry-go-round as pictured above. He exerts a force of 302N on the 50.0-kg merry-go-round, which has a 1.48m radius. Consider the merry-go- round itself to be a uniform disk with negligible retarding friction. a) How long does it take the father to give the merry-go-round and his 18.0-kg child sitting at the outer edge an angular velocity of 1.6 rad/s? b) How many revolutions must he go through to generate this velocity? rev c) If he exerts a slowing force of the same magnitude, how long would it take him to stop them?2 An object of uniform thickness has a cross-section as shown in the diagram. All the cubes have the same size and mass. The object is placed carefully on a smooth table. You may assume that the center of mass of the cubes to the left of Q is located on the dashed line 1, while the center of mass of the cubes to the right of Q are located on dashed line 2. When let go the object will: Obe stable and not topple. O topple to the left about the edge at P. O topple to the right only when given a very small push. O topple to the left only when given a very small push. O topple to the right about the edge at Q.Next, imagine that a bullet impacts the block that you see and embeds itself. Let's say that you know the speed of the bullet just before it hits and also the mass of the bullet. Explain, with words and equations, how you would determine the angle theta. eed to know i L-h L Center of Pendulum catch