The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d= 3.0 m above a spring of spring constant k = 0.19 MN/m. A safety device clamps the cab against guide rails so that a constant frictional force of 4.4 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum distance x that the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total distance that the cab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is stationary.) (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance
d = 3.0 m above a spring of spring constant k = 0.19 MN/m. A safety device clamps the cab against guide rails so that a constant
frictional force of 4.4 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum
distance x that the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point
of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total
distance that the cab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is
stationary.)
(a) Number
i
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
>
>
Transcribed Image Text:The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 3.0 m above a spring of spring constant k = 0.19 MN/m. A safety device clamps the cab against guide rails so that a constant frictional force of 4.4 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum distance x that the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total distance that the cab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is stationary.) (a) Number i Units (b) Number Units (c) Number Units (d) Number Units > >
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