8. An large old iron wheel of mass m, still connected to its axle, has been abandoned by a roadside. A person wants to move it, so they tie a rope to the axle, set the wheel up on its edge, and pull horizontally with a tension T. The coefficient of static friction between the wheel and the ground is $mu_s$ and the coefficient of kinetic friction is $mu_k$. They pull gently enough that the wheel rolls without slipping. (a) Determine, in terms of m, T, g, and $mu$, the acceleration of the wheel. (Your result may not depend on all of these.) (b) Determine, in terms of m, T, g, and $mu$, the frictional force between the wheel and the ground. (Your result may not depend on all of these.)
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We need to find the acceleration of the wheel and the frictional force between the wheel and the ground as the wheel rolls without slipping. The forces involved are the tension in the rope (T), the gravitational force (mg), and the frictional force (f). The wheel Show more…
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Problem: A wheel consists of a disk of outer radius R = 1.2 m, with a concentric axle of inner radius r = 0.36 m. The wheel is pulled by a rope looped around the axle. The total mass of the wheel (disk + axle) is M = 14.0 kg and its moment of inertia is I = 12.1 kg m/s². A constant force F = 110 N applied horizontally at the circumference of the axle, causes the wheel to start from rest and roll without slipping along a horizontal surface. What is magnitude of the friction force? 1.A◯ 61.88 N B◯ 82.60 N C◯ 20.64 N D◯ 247.68 N E◯ None of the above
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Problem: A wheel consists of a disk of outer radius R = 1.2 m, with a concentric axle of inner radius r = 0.36 m. The wheel is pulled by a rope looped around the axle. The total mass of the wheel (disk + axle) is M = 14.0 kg and its moment of inertia is I = 12.1 kg m/s². A constant force F = 110 N applied horizontally at the circumference of the axle, causes the wheel to start from rest and roll without slipping along a horizontal surface. What is magnitude of the friction force? 1.A 61.88 N B 82.60 N C 20.64 N D 247.68 N E None of the above
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