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Mechanical Engineering

m 0000000000 m compressed spring of negligible mass llllllllll m

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.57P: Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Two blocks of mass m are brought close to each other with a spring (mass negligible) compressed between then. The spring has potential energy 1/2kx², where k and x are the force constant and the compression of the spring. The system is held together by a string (mass negligible) that opposes the outward force of the spring. When the string is cut, the spring expands to to its natural length (where it stores no more potential energy), and the two blocks fly apart with total kinetic energy equal to the potential energy that had been stored in the spring. In terms of the mentioned quantities, find the mass of the system before the string was cut.

m
string
booooooood
m
compressed spring
of negligible mass
0000000000
V

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