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Ex.1 If a mass-spring system with an iron ball of weight W=98 N can be regarded as undamped, and the spring is such that the ball stretches it 1.09 m, how many cycles per minute will the system execute? What will its motion be if we pull the ball down from rest by 16 cm and let it start with zero initial velocity?

Ex.1 If a mass-spring system with an iron ball of weight W=98 N can be regarded as undamped, and the spring is such that the ball stretches it 1.09 m, how many cycles per minute will the system execute? What will its motion be if we pull the ball down from rest by 16 cm and let it start with zero initial velocity?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Ex.1 If a mass-spring system with an iron ball of weight W=98 N can be regarded as undamped, and the spring is such that the ball stretches it 1.09 m, how many cycles per minute will the system execute? What will its motion be if we pull the ball down from rest by 16 cm and let it start with zero initial velocity? Ex.2 How does the motion in Example 1 change if we change the damping constant c from one to another of the following three values, with y(0) 0.16 and y'(0) 0 as before? (I) c 100 kg/sec, (II) c 60 kg/sec, (III) c = 10 kg/sec.
Transcribed Image Text:Ex.1 If a mass-spring system with an iron ball of weight W=98 N can be regarded as undamped, and the spring is such that the ball stretches it 1.09 m, how many cycles per minute will the system execute? What will its motion be if we pull the ball down from rest by 16 cm and let it start with zero initial velocity? Ex.2 How does the motion in Example 1 change if we change the damping constant c from one to another of the following three values, with y(0) 0.16 and y'(0) 0 as before? (I) c 100 kg/sec, (II) c 60 kg/sec, (III) c = 10 kg/sec.
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