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2. A particle m is connected with a rope of length L to one point on the circumference of a fixed prism. The prism has as intersection an equilateral triangle with side a. At time t = 0 s, the particle is in rest and the rope is horizontal and taut. Then, the particle is released from rest and moves downwards, while the rope is being wrapped around the circumference of the prism. No energy is lost in this process, except for when the rope touches a new corner. During each of these 'impacts', each time 15% of the kinetic energy is lost. The rope will remain taut until the rope reaches the angle 8. Determine this angle 8. Data: m = 3 kg, L = 3 m, a = 0.8 m.

2. A particle m is connected with a rope of length L to one point on the circumference of a fixed prism. The prism has as intersection an equilateral triangle with side a. At time t = 0 s, the particle is in rest and the rope is horizontal and taut. Then, the particle is released from rest and moves downwards, while the rope is being wrapped around the circumference of the prism. No energy is lost in this process, except for when the rope touches a new corner. During each of these 'impacts', each time 15% of the kinetic energy is lost. The rope will remain taut until the rope reaches the angle 8. Determine this angle 8. Data: m = 3 kg, L = 3 m, a = 0.8 m.

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2. A particle m is connected with a rope of length L to one point on the circumference of a fixed prism. The prism has as intersection an equilateral triangle with side a. At time t = 0 s, the particle is in rest and the rope is horizontal and taut. Then, the particle is released from rest and moves downwards, while the rope is being wrapped around the circumference of the prism. No energy is lost in this process, except for when the rope touches a new corner. During each of these 'impacts', each time 15% of the kinetic energy is lost. The rope will remain taut until the rope reaches the angle 0. Determine this angle 0. Data: m = 3 kg, L = 3 m, a = 0.8 m. L m a
Transcribed Image Text:2. A particle m is connected with a rope of length L to one point on the circumference of a fixed prism. The prism has as intersection an equilateral triangle with side a. At time t = 0 s, the particle is in rest and the rope is horizontal and taut. Then, the particle is released from rest and moves downwards, while the rope is being wrapped around the circumference of the prism. No energy is lost in this process, except for when the rope touches a new corner. During each of these 'impacts', each time 15% of the kinetic energy is lost. The rope will remain taut until the rope reaches the angle 0. Determine this angle 0. Data: m = 3 kg, L = 3 m, a = 0.8 m. L m a
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