Calculate the moment of inertia of a hollow sphere of mass M and radius R about its diameter.
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Q: A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without…
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Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius ?h=0.527…
A: The moment of inertia of the current wheel is as follows: I=Mrh2+2112m2rh2I=Mrh2+23mrh2I=rh2M+23m…
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh=0.262…
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- Assume the Earth is a sphere with its mass evenly distributed throughout. Find the moment of inertia of the Earth about its axis of rotation.A uniform solid sphere with the radius R=20 cm and a uniform cylinder, with the radius R1=10 cm is placed side by side at the top of an incline of height 150 cm. If they are released from rest at the same time and roll without slipping (friction force is zero). Calculate their speeds when they reach the bottom of incline.The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.156 m and mass 4.32 kg, and two thin crossed rods of mass 7.80 kg each. A farmer would like to replace his wheels with uniform disks = 0.0525 m thick, made out of a material with a density of 5990 kg per cubic meter. If the new wheel is to have the same ta %3D moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? = PA rd
- A thin, hollow sphere of mass 2.30 kg and radius 0.610 m is rolling on a horizontal surface with a constant angular speed of 61.0 rpm. What fraction of the kinetic energy is translational kinetic energy, and what fraction of the kinetic energy is rotational kinetic energy?You are trying to get a better feel for the effect of geometry and mass distribution on the moment of inertia. You have a solid disk and a thin ring, each of radius, r = 1.30 m, and mass, m = 73.0 kg. You mount both on fixed, horizontal frictionless axes about which they can spin freely. Then you spin them both. (a) How much work do you need to do to get each object to spin at 3.00 rad/s? (b) Let us assume that you have been causing them to spin by using a constant force applied tangentially to their circumferences. If the above speed is to be reached within 0.700 s, what is the magnitude of the force you need to apply to each object? (c) You next attempt to stop each object by pressing one finger on each side of each object, right at the outer edge. The coefficient of kinetic friction between each finger and the surface of each object is 0.300. Find the minimum force you have to apply to stop each object within 1.00 min.The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ʼn = 0.315 m and mass 4.32 kg, and two thin crossed rods of mass 7.80 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 7370 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? ℗ la ro rd = m