A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of the cable is L = 16 m, and its radius is r = 5.0 x 103 m. By what amount does the cable stretch when the jeep is hoisted straight upward with an acceleration of ay = +2.75 m/s²? Young's modulus for steel is Y = 2.0 x 1011 N/m². Number (a) a = +2.75 m/s² (b) Free-body diagram for the jeep (a) The jeep applies a force - F to the lower end of the cable, thereby stretching it. (b) The free-body diagram for the jeep, showing the two forces acting on it. ! Units m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of the cable is L = 16 m, and its radius is r =
5.0 x 103 m. By what amount does the cable stretch when the jeep is hoisted straight upward with an acceleration of ay = +2.75 m/s²?
Young's modulus for steel is Y = 2.0 x 1011 N/m².
Number
(a)
a =
+2.75 m/s²
(b) Free-body diagram
for the jeep
(a) The jeep applies a force - F to the lower end of the cable,
thereby stretching it. (b) The free-body diagram for the jeep, showing
the two forces acting on it.
!
Units
m
Transcribed Image Text:A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of the cable is L = 16 m, and its radius is r = 5.0 x 103 m. By what amount does the cable stretch when the jeep is hoisted straight upward with an acceleration of ay = +2.75 m/s²? Young's modulus for steel is Y = 2.0 x 1011 N/m². Number (a) a = +2.75 m/s² (b) Free-body diagram for the jeep (a) The jeep applies a force - F to the lower end of the cable, thereby stretching it. (b) The free-body diagram for the jeep, showing the two forces acting on it. ! Units m
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