The axis of a smooth fixed circular cylinder of radius R is horizontal. A particle of mass 2m is attached to a model string and is initially at rest leve with the centre of the cylinder with the string draped over the top, where it slides without friction as if on a model pulley, as shown in the diagram below. A constant force P of magnitude P pulls the model string downwards. Let 0 denote the angle subtended at the axis of the cylinder between the initial position of the particle and its current position. Let e, and ee be the radial and tangential unit vectors, as shown in the diagram.
The axis of a smooth fixed circular cylinder of radius R is horizontal. A particle of mass 2m is attached to a model string and is initially at rest leve with the centre of the cylinder with the string draped over the top, where it slides without friction as if on a model pulley, as shown in the diagram below. A constant force P of magnitude P pulls the model string downwards. Let 0 denote the angle subtended at the axis of the cylinder between the initial position of the particle and its current position. Let e, and ee be the radial and tangential unit vectors, as shown in the diagram.
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