Explanation The angular momentum must be conserved. If the mass distribution changes so do the moment of inertia, and the angular velocity must change to keep the angular momentum constant. Given: There is large migration of people towards equator. Formula used: The angular moment is a vector and its magnitude can be calculated with the next equation: L = I ω Where Iis the moment of inertia and ω is the angular velocity. When there is not external torque, the angular moment must be conserved, then: L 1 = L 2 The total moment of inertia is the sum of the moments of inertia of the different portions of mass of the system; therefore, we need to considerer the moment of inertia of the planet and the moment of inertia of the population: I t o t a l = I p l a n e t + I p e o p l e The moment of inertia of the planet could be considered constant. The mass of the people could be considered as a hollow sphere before the migration and a hoop after the migration. I s p h e r e = 2 5 m p l a n e t r 2 I h o l l o w = 2 5 m p l a n e t r 2 I h o

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Physics: Principles with Applications

Ch. 8 - A solid ball and a solid cylinder roll down a...Ch. 8 - A bicycle odometer (which counts revolutions and...Ch. 8 - Prob. 2Q Ch. 8 - Prob. 3Q Ch. 8 - Why is it more difficult to do a sit-up with your...Ch. 8 - If the net force on a system is zero, is the net...Ch. 8 - Mammals that depend on being able to run fast have...Ch. 8 - This book has three symmetry axes through its...Ch. 8 - Can the mass of a rigid object be considered...Ch. 8 - The moment of inertia of a rotating solid disk...

Ch. 8 - Two inclines have the same height but make...Ch. 8 - Two spheres look identical and have the same mass....Ch. 8 - A sphere and a cylinder have the same radius and...Ch. 8 - Prob. 13Q Ch. 8 - Prob. 14Q Ch. 8 - 15. Can the diver of Fig. 8-28 do a somersault...Ch. 8 - When a motorcyclist leaves the ground on a jump...Ch. 8 - Prob. 17Q Ch. 8 - 18. The angular velocity of a wheel rotating on a...Ch. 8 - 19. In what direction is the Earth's angular...Ch. 8 - 20. ‘On the basis of the law of conservation of...Ch. 8 - Bonnie sits on the outer rim of a merry-go-round,...Ch. 8 - Prob. 2MCQ Ch. 8 - Prob. 3MCQ Ch. 8 - Prob. 4MCQ Ch. 8 - Prob. 5MCQ Ch. 8 - Prob. 6MCQ Ch. 8 - Prob. 7MCQ Ch. 8 - Prob. 8MCQ Ch. 8 - Prob. 9MCQ Ch. 8 - Prob. 10MCQ Ch. 8 - Prob. 11MCQ Ch. 8 - Prob. 12MCQ Ch. 8 - Suppose you are sitting on a rotating stool...Ch. 8 - Express the following angles in radians: (a)...Ch. 8 - The Sun subtends an angle of about 0.5° to us on...Ch. 8 - A laser beam is directed at the Moon, 380,000 km...Ch. 8 - The blades in a blender rotate at a rate of 6500...Ch. 8 - 5. (II) The platter of the hard drive of a...Ch. 8 - Prob. 6P Ch. 8 - (a) A grinding wheel 0.35 m in diameter rotates at...Ch. 8 - Prob. 8P Ch. 8 - Calculate the angular velocity (a) of a clock's...Ch. 8 - Prob. 10P Ch. 8 - What is the linear speed, due to the Earth's...Ch. 8 - Prob. 12P Ch. 8 - How fast (in rpm) must a centrifuge rotate ifa...Ch. 8 - Prob. 14P Ch. 8 - Prob. 15P Ch. 8 - Prob. 16P Ch. 8 - An automobile engine slows down from 3500 rpm to...Ch. 8 - 18. (I) A centrifuge accelerates uniformly from...Ch. 8 - Prob. 19P Ch. 8 - Prob. 20P Ch. 8 - A wheel 31 cm in diameter accelerates uniformly...Ch. 8 - Prob. 22P Ch. 8 - Prob. 23P Ch. 8 - A 52-kg person riding a bike puts all her weight...Ch. 8 - Calculate the net torque about the axle of the...Ch. 8 - A person exerts a horizontal force of 42 N on the...Ch. 8 - Prob. 27P Ch. 8 - The bolts on the cylinder head of an engine...Ch. 8 - Determine the net torque on the 2.0-m-long uniform...Ch. 8 - Determine the moment of inertia of a 10.8-kg...Ch. 8 - 31. (I) Estimate the moment of inertia of a...Ch. 8 - A merry-go-round accelerates from rest to 0.68...Ch. 8 - Prob. 33P Ch. 8 - (II) A grinding wheel is a uniform cylinder with a...Ch. 8 - Prob. 35P Ch. 8 - Prob. 36P Ch. 8 - Prob. 37P Ch. 8 - Prob. 38P Ch. 8 - Prob. 39P Ch. 8 - Prob. 40P Ch. 8 - Prob. 41P Ch. 8 - Prob. 42P Ch. 8 - Prob. 43P Ch. 8 - A centrifuge rotor rotating at 9200 rpm is shut...Ch. 8 - 45. (II) To get a flat, uniform cylindrical...Ch. 8 - 46. (Ill) Two blocks are connected by a light...Ch. 8 - 47 (III) An Atwood machine consists of two masses,...Ch. 8 - A hammer thrower accelerates the hammer (mass...Ch. 8 - 49. (I) An automobile engine develops a torque of...Ch. 8 - A centrifuge rotor has a moment of inertia of 325...Ch. 8 - Prob. 51P Ch. 8 - Prob. 52P Ch. 8 - Prob. 53P Ch. 8 - Prob. 54P Ch. 8 - Prob. 55P Ch. 8 - Prob. 56P Ch. 8 - Prob. 57P Ch. 8 - Prob. 58P Ch. 8 - Prob. 59P Ch. 8 - What is the angular momentum of a 0.270-kg ball...Ch. 8 - (a) What is the angular momentum of a 2.8-kg...Ch. 8 - Prob. 62P Ch. 8 - Prob. 63P Ch. 8 - Prob. 64P Ch. 8 - Prob. 65P Ch. 8 - Prob. 66P Ch. 8 - A person of mass 75 kg stands at the center of a...Ch. 8 - Prob. 68P Ch. 8 - Prob. 69P Ch. 8 - Prob. 70P Ch. 8 - Prob. 71P Ch. 8 - Prob. 72P Ch. 8 - Prob. 73P Ch. 8 - Prob. 74P Ch. 8 - Prob. 75GP Ch. 8 - Prob. 76GP Ch. 8 - Prob. 77GP Ch. 8 - Prob. 78GP Ch. 8 - Prob. 79GP Ch. 8 - Prob. 80GP Ch. 8 - Prob. 81GP Ch. 8 - Figure 8-59 illustrates an H20 molecule The O — H...Ch. 8 - A hollow cylinder (hoop) is rolling on a...Ch. 8 - Prob. 84GP Ch. 8 - Prob. 85GP Ch. 8 - Prob. 86GP Ch. 8 - Prob. 87GP Ch. 8 - Prob. 88GP Ch. 8 - Prob. 89GP Ch. 8 - Prob. 90GP Ch. 8 - A large spool of rope rolls on the ground with the...Ch. 8 - The Moon orbits the Earth such that the same side...Ch. 8 - Prob. 93GP Ch. 8 - Most of our Solar System's mass is contained in...Ch. 8 - Prob. 95GP Ch. 8 - Prob. 96GP

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