Problem_of_the_Week_–_11

Problem_of_the_Week_–_11 - Direction:...

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Problem of the Week – 11 Here is a device consisting of four heavy metal balls connected together by rods whose mass is negligible. Its center of mass is moving to the right with speed 10 m/s, and it is rotating counterclockwise with angular speed 45 radians/s. (Use the usual convention for the coordinate axes: x to the right, y towards the top of the page, and z out of the page towards the reader.) (a) Calculate the translational angular momentum of the device relative to location A . Direction: Magnitude: (b) Calculate the translational angular momentum of the device relative to location B . Direction: Magnitude: (c) Calculate the translational angular momentum of the device relative to location C . Direction: Magnitude: (d) Calculate the moment of inertia of the device (about its center of mass). Direction: Magnitude: (e) Calculate the rotational angular momentum of the device (about its center of mass).
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Unformatted text preview: Direction: Magnitude: (f) Calculate the total angular momentum of the device relative to location A . 1.8 kg 3.2 kg 3.2 kg 1.8 kg 12 cm 25 cm 10 m/ s 45 rad/ s A C B 30 cm 30 cm 36 cm Direction: Magnitude: (g) Calculate the translational kinetic energy of the device. (h) Calculate the rotational kinetic energy of the device. (i) Calculate the total kinetic energy of the device. The incident velocity vector of the bullet is <280, 120, 0> m/s and the final velocity vector of the bullet is <-200, 65, 0> m/s. (a) What is the vector velocity of the block of steel just after the collision? Start from a fundamental principle, and show all your work. (b) What is the increase E thermal in the thermal energy of the block and bullet? Start from a fundamental principle, and show all your work....
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