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

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 22P: In the particle under constant acceleration model, we identify the variables and parameters vxi,...

See similar textbooks

Similar questions

Two small spacecraft, each with a mass m = 2000 kg, are in orbit circular Earth, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) periods T0 and (b) the speed v0 of the ships? At point P, Picard shoots an instantaneous burst in the forward direction, slowing your ship by 1.00%. After this explosion, the elliptical orbit follows, which is shown discontinuous in the figure. What are (c) the kinetic energy and (d) the potential energy of your ship immediately after the explosion? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semi-major axis a, and (g) the orbital period T? (h) How long before Igor will return Picard to P? Since you can only ansewer to 3 sub-parts, I'll ask here (a,b,c) and submit another question for (d,e,f), (g,h). Thanks.
Two small spacecraft, each with a mass m = 2000 kg, are in orbit circular Earth, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) periods T0 and (b) the speed v0 of the ships? At point P, Picard shoots an instantaneous burst in the forward direction, slowing your ship by 1.00%. After this explosion, the elliptical orbit follows, which is shown discontinuous in the figure. What are (c) the kinetic energy and (d) the potential energy of your ship immediately after the explosion? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semi-major axis a, and (g) the orbital period T? (h) How long before Igor will return Picard to P? Since you can only ansewer to 3 sub-parts, I'll ask here (g, h)I enclose the answer of (f)
Two small spacecraft, each with a mass m = 2000 kg, are in orbit circular Earth, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) periods T0 and (b) the speed v0 of the ships? At point P, Picard shoots an instantaneous burst in the forward direction, slowing your ship by 1.00%. After this explosion, the elliptical orbit follows, which is shown discontinuous in the figure. What are (c) the kinetic energy and (d) the potential energy of your ship immediately after the explosion? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semi-major axis a, and (g) the orbital period T? (h) How long before Igor will return Picard to P? Since you can only ansewer to 3 sub-parts, I'll ask here (d,e,f)
A long jumper leaves the ground at an angle of 17.0° to the horizontal and at a speed of 10.9 m/s. (a) How long does it take for her to reach maximum height? s(b) What is the maximum height? m(c) How far does she jump? (Assume that her motion is equivalent to that of a particle, disregarding the motion of her arms and legs.) m
A particle is moving along the x-axis in accordance with the following: x(t) = 5 cos (4πt + π/3) cm At what times is x = 0? a) t = 1/24 s, 7/24 s, 13/24 s, etc. b) t = 1/6 s, 5/12 s, etc. c) none of these
Two children are playing on two trampolines. The first child bounces up one-and-a-half times higher than the second child. The initial speed up of the second child is 4.0 m/s(a) Find the maximum height the second child reaches. (b) What is the initial speed of the first child? (c) How long was the first child in the air?
At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xyplane with a constant acceleration of (2.0i −4.0j) m/s2. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle (in m/s)?
Also C. At 2.5 ss , what is the particle's acceleration? Express your answer with the appropriate units.
A particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (−2.0î + 4.0ĵ ) m/s2 . At the instant the particle achieves its maximum positive x coordinate, how far is it from the origin?
a.What is ax at t = 12.0 s? answer in m/s^2 b. What is ax at t = 2.00 s? answer in m/s^2 c. which is the correct multiple chpoice answer attached? d. How far does the object travel from t = 12.0 s to t = 14.0 s? answer in m
1. A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. d is equal to 2.57 m. Suppose the block starts on the track at x = 0, at What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 7.10 m/s 5.02 m/s 8.48 m/s 5.40 m/s
A particle starts from the origin at t = 0 with a velocity of (16 - 12) m/s and moves in the xy plane with a constant acceleration of = (3.0 - 6.0) m/s2. What is the speed of the particle at t = 2s?