The work energy theorem relates the kinetic energy, T, and the potential energy, V, to the work of all external forces other than gravitational forces and spring forces, U'1-2, as O T1+ V1- U'1-2= T2+V2. O (T1/V1) – (T2/V2) = U'1-2- O (T1/V1) + (T2/V2) = U'1-2. O T1+ V1+U'1-2= T2+ V2.

The work energy theorem relates the kinetic energy, T, and the potential energy, V, to the work of all external forces other than gravitational forces and spring forces, U'1-2, as O T1+ V1- U'1-2= T2+V2. O (T1/V1) – (T2/V2) = U'1-2- O (T1/V1) + (T2/V2) = U'1-2. O T1+ V1+U'1-2= T2+ V2.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

The work energy theorem relates the kinetic energy, T, and the potential energy, V, to the work of all external forces other than
gravitational forces and spring forces, U'1-2, as
O T1+ V1- U'1-2= T2+V2.
O (T1/V1) – (T2/V2) = U'1-2-
O (T1/V1) + (T2/V2) = U'1-2.
O T1+ V1+U'1-2= T2+ V2.

The elastic potential energy of a spring Ve depends on the spring constant k of the spring and the extension of the spring according to:
O V. = kx.
O Ve = – kx.
O Ve = kx.
O Ve = kx.

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