18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The...
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18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The length between the pivot points and the centres of each sphere is L. The two suspension points lie on a horizontal line and are separated by a distance z. The system is in equilibrium. Take the total acceleration due to gravity to be g. Hint: You may assume that dr << L as well as dr << 1. 22 m Sæ X x m (a) Show that the small deflection dr by which the gravitational force Fg between the spheres will deflect them from the vertical is given by: L LmG 4xg where G is Newton's gravitational constant. Clearly state all assumptions you make and show all your workings. (b) The spheres are now both electrically charged with the same positive charge Q. How big must Q be so that the wires hang vertically again? Hint: The force between two spheres, electrically charged with charges Q₁ and Q2 is given by: FQ=k- 2122 p2 where k is a constant and r is the separation of their centres. [7] [2] 18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The length between the pivot points and the centres of each sphere is L. The two suspension points lie on a horizontal line and are separated by a distance z. The system is in equilibrium. Take the total acceleration due to gravity to be g. Hint: You may assume that dr << L as well as dr << 1. 22 m Sæ X x m (a) Show that the small deflection dr by which the gravitational force Fg between the spheres will deflect them from the vertical is given by: L LmG 4xg where G is Newton's gravitational constant. Clearly state all assumptions you make and show all your workings. (b) The spheres are now both electrically charged with the same positive charge Q. How big must Q be so that the wires hang vertically again? Hint: The force between two spheres, electrically charged with charges Q₁ and Q2 is given by: FQ=k- 2122 p2 where k is a constant and r is the separation of their centres. [7] [2]
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Part a The gravitational force between the two spheres is given by F g Gm 1 m 2 r 2 where G is the g... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
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