Question 2: A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame R(0,x, y, z)with constant angular velocity vector a wk. A rotating reference frame ke R'(0' = 0,ūp, ūg, k) is attached to the rigid wire (T). up a) Determine the velocity and acceleration vectors of the p = wt M bead M with respect to the rotating frame R' given that its position vector is: 7 = 0M = ae@t ủo where a is

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Question 2 : A bead M slides without friction on a rigid wire ( T ) .  This rigid wire rotates around the Z axis of a fixed reference frame R ( O , x , y , z ) with constant angular velocity vectorok .  A rotating reference frame R ' ( 0 ' = 0 , üük ) is attached to the rigid wire ( T ) .  a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame R' given that its position vector is : 7 - OM - ae , where a is positive constant.  b) Determine the fictitious forces applied to the bead M in the rotating frame R. c) Given that the normal force exerted on the bead M by the rigid wire is: N = N+ NK.  By applying the 2nd Law of Newton in the rotating frame R", deduce the components N and N

Question 2:
A bead M slides without friction on a rigid wire (T).
This rigid wire rotates around the Z axis of a fixed
reference frame R(0,x, y,z)with constant angular
velocity vector = wk. A rotating reference frame
R'(0' = 0,đp, ūo, k) is attached to the rigid wire (T).
0.
u,
a) Determine the velocity and acceleration vectors of the
bead M with respect to the rotating frame R' given that
p = wt
M
its position vector is: 7 = OM = ae@t i, where a is
positive constant.
(T)
b) Determine the fictitious forces applied to the bead M in the rotating frame R'.
c) Given that the normal force exerted on the bead M by the rigid wire is: N = Ngũo + Nzk. By applying
the 2nd Law of Newton in the rotating frame R', deduce the components No and Nz.
Transcribed Image Text:Question 2: A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame R(0,x, y,z)with constant angular velocity vector = wk. A rotating reference frame R'(0' = 0,đp, ūo, k) is attached to the rigid wire (T). 0. u, a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame R' given that p = wt M its position vector is: 7 = OM = ae@t i, where a is positive constant. (T) b) Determine the fictitious forces applied to the bead M in the rotating frame R'. c) Given that the normal force exerted on the bead M by the rigid wire is: N = Ngũo + Nzk. By applying the 2nd Law of Newton in the rotating frame R', deduce the components No and Nz.
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