A particle m is connected to the fixed points A and B using two ropes, with lengths R1 and R2 respectively. The point A is right above the point B, at a distance d. At time t = 0 s, the particle is in rest and the rope with length R2 is horizontally and taut, while the other rope is loose. Then, the particle is released from rest and starts falling downwards. In point C, the trajectory of the particle suddenly changes from a circular motion about B, into a circular motion about A. The rope with length R1 is now taut, while the other gets loose. %3D a) Determine right after the trajectory has changed in C, the new velocity of the particle. Determine the impulse that was exerted by the rope with length R1. The impulse exerted by the rope with length R2 is zero. How much energy is lost during the change in trajectory in C? b) Determine right after the particle is at point C, the force that the rope with length R1 exerts on the particle. What is at that instant of time the acceleration of the particle?
A particle m is connected to the fixed points A and B using two ropes, with lengths R1 and R2 respectively. The point A is right above the point B, at a distance d. At time t = 0 s, the particle is in rest and the rope with length R2 is horizontally and taut, while the other rope is loose. Then, the particle is released from rest and starts falling downwards. In point C, the trajectory of the particle suddenly changes from a circular motion about B, into a circular motion about A. The rope with length R1 is now taut, while the other gets loose. %3D a) Determine right after the trajectory has changed in C, the new velocity of the particle. Determine the impulse that was exerted by the rope with length R1. The impulse exerted by the rope with length R2 is zero. How much energy is lost during the change in trajectory in C? b) Determine right after the particle is at point C, the force that the rope with length R1 exerts on the particle. What is at that instant of time the acceleration of the particle?
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 32AP
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