Three long frictionless rods are fixed parallel to each other in a horizontal plane with separation d between adjacent rods. The rods wear identical sleeves A, B, C and D each of mass m and charge q. Initially the sleeves B, C and D are arranged in a line perpendicular to the rods and the sleeve A is far away from them as shown in the figure. In this way, the sleeves B, C and D are in a state of unstable equilibrium and have no electrostatic interaction with the sleeve A. If the sleeve A is launched towards the right with an initial velocity u, find velocities of all the sleeves when they acquire steady motion. Consider all possible cases.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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200
4. If u = 2v, , then v, =U = v, = 0 and ve = 2v,
%3D
%D
If u > 2v, , then v = 2v,, UB =Up =-U, and vc =u
%3D
(2u-v,) and
3
1
Uc
200
u + 40, ), UB = Up
3.
|
%3D
%D
If u < 2u, , then v
Here U, =
6TE,md
Transcribed Image Text:200 4. If u = 2v, , then v, =U = v, = 0 and ve = 2v, %3D %D If u > 2v, , then v = 2v,, UB =Up =-U, and vc =u %3D (2u-v,) and 3 1 Uc 200 u + 40, ), UB = Up 3. | %3D %D If u < 2u, , then v Here U, = 6TE,md
4. Three long frictionless rods are fixed parallel to each other in a
horizontal plane with separation d between adjacent rods. The rods
wear identical sleeves A, B, C andD each of mass m and charge q.
Initially the sleeves B, C and D are arranged in a line perpendicular to
the rods and the sleeve A is far away from them as shown in the figure.
In this way, the sleeves B, C and D are in a state of unstable equilibrium
and have no electrostatic interaction with the sleeve A. If the sleeve A
is launched towards the right with an initial velocity u, find velocities of
all the sleeves when they acquire steady motion. Consider all possible
of
cases.
Transcribed Image Text:4. Three long frictionless rods are fixed parallel to each other in a horizontal plane with separation d between adjacent rods. The rods wear identical sleeves A, B, C andD each of mass m and charge q. Initially the sleeves B, C and D are arranged in a line perpendicular to the rods and the sleeve A is far away from them as shown in the figure. In this way, the sleeves B, C and D are in a state of unstable equilibrium and have no electrostatic interaction with the sleeve A. If the sleeve A is launched towards the right with an initial velocity u, find velocities of all the sleeves when they acquire steady motion. Consider all possible of cases.
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