A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t): = 5-(²¹) cos( √15+) 2 35 3√/ 15 -(-²). e √15 t sin 151 2

A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t): = 5-(²¹) cos( √15+) 2 35 3√/ 15 -(-²). e √15 t sin 151 2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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