A helicopter is using a circular steel cable tolift a m = 2100-kg jeep. The unstretchedlength of the cable is L = 16 m, and its radiusisr= 5.0 x 103 m. By what amount does thecable stretch when the jeep is hoistedstraight upward with an acceleration of a, =+ 0.900 m/s?? Young's modulus for steel is Y= 2.0 x 1011 N/m².+ya, =+0.900m/s?(b) Free-body diagramfor the jeep(a)(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, showingthe two forces acting on it.NumberiUnits

mass of jeep (m) = 2100 kg Length of cable (L) = 16 m Radius of cable (R) = 0.005 m upwards…

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 10-3 m. By what amount does the cable stretch when the jeep is hoisted straight upward with an acceleration of ay = + 0.900 m/s?? Young's modulus for steel is Y = 2.0 x 1011 N/m². %3D +y a, = +0.900m/s (b) Free-body diagram for the jeep (a) (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. Number i Units

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 10-3 m. By what amount does the cable stretch when the jeep is hoisted straight upward with an acceleration of ay = + 0.900 m/s?? Young's modulus for steel is Y = 2.0 x 1011 N/m². %3D +y a, = +0.900m/s (b) Free-body diagram for the jeep (a) (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. Number i Units

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 81PQ: A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and...

See similar textbooks

Similar questions

A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?
A steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?
An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?
A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?
A 90-kg mountain climber bangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m bog and its diameter is 1.0 cm, is Young’s modulus for the nylon?
What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is itstable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly? FIGURE P14.1
Can Young’s modulus have a negative value? What about the bulk modulus?