1. A 100 KN railway car, with its center of gravity 1.6 m above the track, goes around a flat curve of 400 m radius. If the gauge distance between the centers of the rails is 1.4 m, determine the speed that will produce impending tipping? gr 1.6 m A 1.4m R1 R2

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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If the speed of the railway car in the example 1 is reduced to 60 km/hr, what is the reaction and the pressure on each wheel flange?

EXAMPLES:
1. A 100 KN railway car, with its center of gravity 1.6 m above the track, goes around a
flat curve of 400 m radius. If the gauge distance between the centers of the rails is 1.4
m, determine the speed that will produce impending tipping?
gr
1.6 m
A
B
1.4m
R,
R2
Wheel A will tip because of the centrifugal force towards the outer rail of the track;
R, = 0
Solution:
EMB= 0;
R, - W (0.70) + Wv² (1.6) = 0
gr
0- 100 (0.70) + 10ov² (1.6) = 0
9.81(400)
v = 41.43 m/s.ans
v = 149.16 km/hr
%3D
ans
Transcribed Image Text:EXAMPLES: 1. A 100 KN railway car, with its center of gravity 1.6 m above the track, goes around a flat curve of 400 m radius. If the gauge distance between the centers of the rails is 1.4 m, determine the speed that will produce impending tipping? gr 1.6 m A B 1.4m R, R2 Wheel A will tip because of the centrifugal force towards the outer rail of the track; R, = 0 Solution: EMB= 0; R, - W (0.70) + Wv² (1.6) = 0 gr 0- 100 (0.70) + 10ov² (1.6) = 0 9.81(400) v = 41.43 m/s.ans v = 149.16 km/hr %3D ans
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