Q3.(a)A 2 kg block is supported by a spring of constant k = 400 N/m, as illustrated inFigure Q3 (a). The block is in its equilibrium position when it is struck frombelow by a hammer, which imparts to the block an upward velocity of 2.5 m/s.Determine,(i)the time required for the block to move 100 mm upward.(ii)the corresponding velocity.(iii)the acceleration of the block.(iv)Explain how the spring-mass system should be adjusted if the naturalfrequency of the system is to be increased.mFigure Q3 (a)

Given:- K=400 N/m m=2 kg x=100mm

A 2 kg block is supported by a spring of constant k = 400 N/m, as illustrated in Figure Q3 (a). The block is in its equilibrium position when it is struck from below by a hammer, which imparts to the block an upward velocity of 2.5 m/s. Determine, Q3. (а) (i) the time required for the block to move 100 mm upward. (ii) the corresponding velocity. (iii) the acceleration of the block. (iv) Explain how the spring-mass system should be adjusted if the natural frequency of the system is to be increased.

A 2 kg block is supported by a spring of constant k = 400 N/m, as illustrated in Figure Q3 (a). The block is in its equilibrium position when it is struck from below by a hammer, which imparts to the block an upward velocity of 2.5 m/s. Determine, Q3. (а) (i) the time required for the block to move 100 mm upward. (ii) the corresponding velocity. (iii) the acceleration of the block. (iv) Explain how the spring-mass system should be adjusted if the natural frequency of the system is to be increased.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Q3.
(a)
A 2 kg block is supported by a spring of constant k = 400 N/m, as illustrated in
Figure Q3 (a). The block is in its equilibrium position when it is struck from
below by a hammer, which imparts to the block an upward velocity of 2.5 m/s.
Determine,
(i)
the time required for the block to move 100 mm upward.
(ii)
the corresponding velocity.
(iii)
the acceleration of the block.
(iv)
Explain how the spring-mass system should be adjusted if the natural
frequency of the system is to be increased.
m
Figure Q3 (a)

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