26. A point object of mass m is connected to a cylinder of radius R via...

 

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26. A point object of mass m is connected to a cylinder of radius R via a massless rope. At time t = 0, the object is moving with an initial velocity vo perpendicular to the rope, the rope has a length Lo, and the rope has a non-zero tension. All motion occurs on a horizontal frictionless surface. The cylinder remains stationary on the surface and does not rotate. The object moves in such a way that the rope slowly winds up around the cylinder. The rope will break when the tension exceeds T. Express your answer in terms of Tmax Lo, R, and v,. Mark the INCORRECT statement(s): L. R 1) Magnitude of angular momentum of the object with respect to the axis of the cylinder at the instant that the rope breaks is m’v max mv 2) Kinetic energy of the object at the instant when the rope breaks is 2 Vhen tension is T max The length of the rope (not yet wound) is L, - TR 4) When tension is T the length of the rope (not yet wound) is T. mv max max 26. A point object of mass m is connected to a cylinder of radius R via a massless rope. At time t = 0, the object is moving with an initial velocity vo perpendicular to the rope, the rope has a length Lo, and the rope has a non-zero tension. All motion occurs on a horizontal frictionless surface. The cylinder remains stationary on the surface and does not rotate. The object moves in such a way that the rope slowly winds up around the cylinder. The rope will break when the tension exceeds T. Express your answer in terms of Tmax Lo, R, and v,. Mark the INCORRECT statement(s): L. R 1) Magnitude of angular momentum of the object with respect to the axis of the cylinder at the instant that the rope breaks is m’v max mv 2) Kinetic energy of the object at the instant when the rope breaks is 2 Vhen tension is T max The length of the rope (not yet wound) is L, - TR 4) When tension is T the length of the rope (not yet wound) is T. mv max max

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