A high-speed lifting mechanism supports a(n) 880-kg object with a steel cable that is 28.0 m long and 4.00 cm² in cross-sectional area. (a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.) mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.1 m/s²? mm (c) What is the greatest mass that can be accelerated upward at 3.1 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 108 Pa? kg

A high-speed lifting mechanism supports a(n) 880-kg object with a steel cable that is 28.0 m long and 4.00 cm² in cross-sectional area. (a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.) mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.1 m/s²? mm (c) What is the greatest mass that can be accelerated upward at 3.1 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 108 Pa? kg

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 60P: A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a...

See similar textbooks

Similar questions

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?
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. )
Calculate the force a piano tuner applies to stretch a steel piano wire 8.00 mm, if the wire is originally 0.850 mm in diameter and 1.35 m long.
A steel cable 3.00 cm2 in the cross-sectional area has a mass of 2.40 kg per meter of length. If 500 m of the cable is hung over a vertical cliff, how much does the cable stretch under its own weight?
A steel cable 3.00 cm2 in cross-sectional area has amass of 2.40 kg per meter of length. if 500 m of the cable ishung over a vertical cliff, how much does the cable stretch underits own weight? Take Ysteel=2.00 X 1011N/m2.
A vertical steel beam in a building supports a load of 6.0 x 104 N. a) If the length of the beam is 4.0 m and its cross-sectional area is 8.0 x 10-3 m2, find the distance the beam is compressed along its length. (b) What maximum load in newtons could the steel beam support before failing?
A 200-kg load is hung on a wire with a length of 4.00 m, a cross-sectional area of 0.200 x 10-4 m2,and a Young’s modulus of 8.00 x 1010 N/m2. What is its increase in length?
A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the valueof the modulus of elasticity (E) for steel is 200 GPa, what is the stress developed in the steelbar?