Explanation Concept used: Write the expression for the natural frequency of the system. ω n = g l ...... (1) Here, ω n is the natural frequency of system, k is the spring constant and m is the mass of collar. Write the expression for the amplitude of forced vibration. x m = δ s t ( 1 − ω f 2 ω n 2 ) ...... (2) Here, ω f is the forced frequency of system, δ s t is the static amplitude of vibration. For the out of phase motion: Write the condition as given in the problem as. − x m < δ m Substitute δ s t ( 1 − ω f 2 ω n 2 ) for x m in above expression

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Gen…

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Chapter 19.4, Problem 19.109P

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The range of values of ωf for which the amplitude of motion of bob is less than δm.

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Chapter 19.4, Problem 19.108P

Chapter 19.4, Problem 19.110P

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The range of values of ω f for which the amplitude of motion of bob is less than δ m .

Solution Summary: The author writes the expression for the natural frequency of the system.

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The range of values of ωf for which the amplitude of motion of bob is less than δm.

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