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Consider a solid homogeneous object taller than its wide, with the top and bottom parallel. Prove that the shape with the lowest moment of inertia about an axis through the object is a cylinder with the axis through its axis of symmetry.
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Question: To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and t ...
Question: Suppose an earthquake shakes you with a frequency of 9.5 Hz as it passes and continues on to another city 75 km away, which it reaches in 15 s. What is the wavelength of the earthquake, in meters? The response ...
Question: The specific heat capacity of water is 4190 J/kg K, its heat of melting is 3.33 x 10^5 J/kg, and its heat of vaporization is 22.6 x 10^5 J/kg. For 1 kg of water, which of the following requires the most thermal ...
Question: Pluto moves in a fairly elliptical orbit around the sun. Pluto's speed at its closest approach of 4.43Ã-109km is 6.12 km/s. Part A: What is Pluto's speed at the most distant point in its orbit, where it is 7.30 ...
Question: What is the purpose of the rheostat in the resistance and resistivity experiment? 1) to limit the current in the circuit. 2) to overheat. 3) as an aid to adjusting the current in the circuit. 4) it is the resis ...
Question: A solid wood door 1.00 m wide and2.00 m high is hinged along one side and has a total mass50.0 kg. Initially open and at rest,the door is struck at its center by a handful of sticky mud withmass 0.500 kg, trave ...
Question: You are experimenting with a radioactive sample of polonium. At the end of 14.0 minutes, exactly 1/16 of the polonium remains. What is the corresponding half life (T 1/2 ) of polonium? The response must be type ...
Question: At what speed does a ball hit the ground if you toss a 120 g ball straight up to just touch the 12-m-high roof of the gymnasium if you release the ball 1.5 m above the ground? Solve this problem using energy. T ...
Question: Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an orangutan has arms that are 0.90 m long and repeatedly swings to a 20° angle, taking one swing immediately after ...
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the ...
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