A spring with an 8 kg mass is kept stretched 0.4 m beyond its natural length by a force of 32 N. The spring starts at its equilibrium position and is given an initial velocity of 5 m/s. Find the position (in m) of the mass at any time t. x(t) = m

A spring with an 8 kg mass is kept stretched 0.4 m beyond its natural length by a force of 32 N. The spring starts at its equilibrium position and is given an initial velocity of 5 m/s. Find the position (in m) of the mass at any time t. x(t) = m

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

x(t) = _______ m

A spring with an 8 kg mass is kept stretched 0.4 m beyond its natural length by a force of 32 N. The spring starts at its equilibrium position and is given an initial velocity of 5 m/s. Find the position (in m) of the mass at any time $ t $.

\[ x(t) = \boxed{\phantom{x}} \, \text{m} \]

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