A mass of 30 kg (shown in) is hung from a spring of stiffness 5 k =
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A mass of 30 kg (shown in) is hung from a spring of stiffness 5 k = × 2.5 10 N/m, which is attached to an aluminum beam ( 9 2 E = × 71 10 N/m , 3 3 ρ = × 2.7 10 kg/m ) of moment of inertia 8 4 I m 3.5 10− = × and of length 35 cm. The beam is supported at its free end and by a circular aluminum cable of diameter 1 mm and length 30 cm.
(a) Determine the equivalent stiffness of the assembly.
(b) Write the differential equation governing in the motion of the mass and find its natural frequencies.
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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