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(a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?

(a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hello there! I understand part A for this problem, but part b has me stuck. For a stable equilibrium I know that for any movement away from x=0 results in a force directed back towards that position. For this problem, the fact that they are both positive charges means that they are repulsive, so the bead will move back towards the equilibrium position when moved. I think this means it is stable, however, how do I prove this mathematically? Thank you! This is just problem 7, part B to be be clear:-)
6. Why is the following situation impossible? Two identical dust p tional and electric forces between the particles happen to have ticles of mass 1.00 µg are floating in empty space, far from any each exerts on the other after they have come to equilibrium. charges that are identical in magnitude and sign. The gravita- are connected by a conducting wire. Find the electric force external sources of large gravitational or electric fields, and at rest with respect to each other. Both particles carry electric bl 13. BIO Revie is 2.17 um par- ionized: ne lical molec becoming of the mol Section 19.5 magnitude, so each particle experiences zero net the same force and the distance between the particles remains constant. 14. QC S T The first i W Two small 7. QC beads having positive charges = 3q and 2 = q are fixed at the opposite ends of a hor- izontal insulating rod of length d = 1.50 m. The bead with charge q is at the origin. As shown in Fig- ure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable? known ch 92 these cha of 2k,Q / a unknown d |15. МA unil charge of the ring (d) 100 ci Figure P19.7 Problems 7 and 8. 16. What are that will b ton? (You 8. QCS Two small beads having charges q and of the same sign are fixed at the opposite ends of a horizontal insu- lating rod of length d. The bead with charge q, is at the ori- gin. As shown in Figure P19.7, a third small, charged bead 17. M In Fig mine the infinity) : tric field 18. SA thi and unit unit len the x axi M Three charged particles are located at the corners of an equilateral triangle Figure P19.9. Calculate the total electric force on the 7.00-µC charge. 7.00 µC ure P19. the elect as shown tance y f 0.500 m its perp has no x given by (b) Using 60.0°
Transcribed Image Text:6. Why is the following situation impossible? Two identical dust p tional and electric forces between the particles happen to have ticles of mass 1.00 µg are floating in empty space, far from any each exerts on the other after they have come to equilibrium. charges that are identical in magnitude and sign. The gravita- are connected by a conducting wire. Find the electric force external sources of large gravitational or electric fields, and at rest with respect to each other. Both particles carry electric bl 13. BIO Revie is 2.17 um par- ionized: ne lical molec becoming of the mol Section 19.5 magnitude, so each particle experiences zero net the same force and the distance between the particles remains constant. 14. QC S T The first i W Two small 7. QC beads having positive charges = 3q and 2 = q are fixed at the opposite ends of a hor- izontal insulating rod of length d = 1.50 m. The bead with charge q is at the origin. As shown in Fig- ure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable? known ch 92 these cha of 2k,Q / a unknown d |15. МA unil charge of the ring (d) 100 ci Figure P19.7 Problems 7 and 8. 16. What are that will b ton? (You 8. QCS Two small beads having charges q and of the same sign are fixed at the opposite ends of a horizontal insu- lating rod of length d. The bead with charge q, is at the ori- gin. As shown in Figure P19.7, a third small, charged bead 17. M In Fig mine the infinity) : tric field 18. SA thi and unit unit len the x axi M Three charged particles are located at the corners of an equilateral triangle Figure P19.9. Calculate the total electric force on the 7.00-µC charge. 7.00 µC ure P19. the elect as shown tance y f 0.500 m its perp has no x given by (b) Using 60.0°
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