A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame with constant angular velocity vector . A rotating reference frame is attached to the rigid wire (T).a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame given that its position vector is: where is positive constant. Question 2:A bead M slides without friction on a rigid wire (T).This rigid wire rotates around the Z axis of a fixedreference frame R(0,x, y,z)with constant angularvelocity vector = wk. A rotating reference frameR' (O' = 0,ü,, đg, k) is attached to the rigid wire (T).ka) Determine the velocity and acceleration vectors of thebead M with respect to the rotating frame R' given thataewt i, where a isP = wtMits position vector is: 7 = 0Mpositive 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 = Noữg + N,k. By applyingthe 2nd Law of Newton in the rotating frame R', deduce the components No and Nz.10

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Answered: A bead M slides without friction on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame with constant angular velocity vector . A rotating reference frame is attached to the rigid wire (T).

a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame given that its position vector is: where is positive constant.

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' (O' = 0,ü,, đg, k) is attached to the rigid wire (T).
k
a) Determine the velocity and acceleration vectors of the
bead M with respect to the rotating frame R' given that
aewt i, where a is
P = wt
M
its position vector is: 7 = 0M
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 = Noữg + N,k. By applying
the 2nd Law of Newton in the rotating frame R', deduce the components No and Nz.
10

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