PLEASE ANSWER QUICKLY 77777Aluminum1 mm diameter35 cmBeam-AluminumI=3.5 x 10-8 m4Cable30 kgFigure Q1(a)30 cm2.5 x 105 N/m Q1 (a) A mass of 30 kg (shown in Figure Q1(a)) is hung by a spring with stiffness, k = 2.5x 105 N/m, which is attached to an aluminum beam (E = 71 x 10° N/m², p = 2.7 x10³ kg/m³) with moment of inertia, I = 3.5 x 108 m4 and length 35 cm. The beam issupported at its free end and by a circular aluminum cable of diameter 1 mm andlength 30 cm. Identify the equivalent of the assembly and describe the differentialequation governing the motion of the mass (assuming the beam and cable aremassless).Stiffness equation of beam is kEAL=3EIand stiffness equivalent of the cable is kc =L3

Answered: 77777 Aluminum 1 mm diameter 35 cm Beam…

Engineering

Mechanical Engineering

77777 Aluminum 1 mm diameter 35 cm Beam -Aluminum I=3.5 x 10-8 m4 Cable 30 kg Figure Q1(a) 30 cm 2.5 x 10³ N/m

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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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

PLEASE ANSWER QUICKLY

77777
Aluminum
1 mm diameter
35 cm
Beam
-Aluminum
I=3.5 x 10-8 m4
Cable
30 kg
Figure Q1(a)
30 cm
2.5 x 105 N/m

Q1 (a) A mass of 30 kg (shown in Figure Q1(a)) is hung by a spring with stiffness, k = 2.5
x 105 N/m, which is attached to an aluminum beam (E = 71 x 10° N/m², p = 2.7 x
10³ kg/m³) with moment of inertia, I = 3.5 x 108 m4 and 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. Identify the equivalent of the assembly and describe the differential
equation governing the motion of the mass (assuming the beam and cable are
massless).
Stiffness equation of beam is k
EA
L
=
3EI
and stiffness equivalent of the cable is kc =
L3

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