The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.
The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N.
(a) What isthe maximum distance xthe spring compresses?
(b) What is the maximum acceleration experienced by the elevator during its movement described in the problem?
Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.
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