2/125 The mine skip is being hauled to the surface over the curved track by the cable wound around the 30-in. drum, which turns at the constant clockwise speed of 120 rev/min. The shape of the track is de- signed so that y = x²/40, where x and y are in feet. Calculate the magnitude of the total acceleration of the skip as it reaches a level of 2 ft below the top. Neglect the dimensions of the skip compared with those of the path. Recall that the radius of curva- ture is given by dy\2]3/2 dx. d'y dx² 30"

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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2/125 The mine skip is being hauled to the surface over
the curved track by the cable wound around the
30-in. drum, which turns at the constant clockwise
speed of 120 rev/min. The shape of the track is de-
signed so that y = x²/40, where x and y are in feet.
Calculate the magnitude of the total acceleration of
the skip as it reaches a level of 2 ft below the top.
Neglect the dimensions of the skip compared with
those of the path. Recall that the radius of curva-
ture is given by
dy 2]3/2
1 +
\dx.
d²y
dx²
30" -
y
Transcribed Image Text:2/125 The mine skip is being hauled to the surface over the curved track by the cable wound around the 30-in. drum, which turns at the constant clockwise speed of 120 rev/min. The shape of the track is de- signed so that y = x²/40, where x and y are in feet. Calculate the magnitude of the total acceleration of the skip as it reaches a level of 2 ft below the top. Neglect the dimensions of the skip compared with those of the path. Recall that the radius of curva- ture is given by dy 2]3/2 1 + \dx. d²y dx² 30" - y
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