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Exercise 101

Avg difficulty 2.5

A mass of 22 kilograms is on a spring with spring constant kk newtons per meter with no damping. Suppose the system is at rest and at time t=0t=0 the mass is kicked and starts traveling at 2 meters per second. How large does kk have to be so that the mass does not go further than 3 meters from the rest position?

Lebl, Notes on Diffy Qs, §2.4 Mechanical vibrations, exercise 101

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.