Find the velocity relative to an inertial frame (in which the centre of the Earth is at rest) of a point on the Earth's equator. An aircraft is flying above the equator at 1000 km h-l. Assuming that it flies straight and level (i.e., at a constant altitude above the surface) what is its velocity relative to the inertial frame a) if it flies north

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Question 3:
Find the velocity relative to an inertial frame (in which the centre of the
Earth is at rest) of a point on the Earth's equator. An aircraft is flying
above the equator at 1000 km h-1. Assuming that it flies straight and
level (i.e., at a constant altitude above the surface) what is its velocity
relative to the inertial frame
a) if it flies north
(b) if it flies west
c) if it flies east
Transcribed Image Text:Question 3: Find the velocity relative to an inertial frame (in which the centre of the Earth is at rest) of a point on the Earth's equator. An aircraft is flying above the equator at 1000 km h-1. Assuming that it flies straight and level (i.e., at a constant altitude above the surface) what is its velocity relative to the inertial frame a) if it flies north (b) if it flies west c) if it flies east
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
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' (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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