A cantilever beam of negligible mass has a mass m at its free end. If the length of the cantilever is halved, what is the factor by which its natural frequency is increased? (a) √8 times (c) √5 times (b) √6 times (d) √3 times

A cantilever beam of negligible mass has a mass m at its free end. If the length of the cantilever is halved, what is the factor by which its natural frequency is increased? (a) √8 times (c) √5 times (b) √6 times (d) √3 times

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 28P

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Concept explainers

British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

A cantilever beam of negligible mass has a mass m at its free end. If the length
of the cantilever is halved, what is the factor by which its natural frequency is
increased?
(a) √8 times
(c) √5 times
(b) √6 times
(d) √3 times

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