Thanks k2aFigure 12k,The mechanical system shown in Figure 1 consists of two springs attached to a pulley. The pulley hasa radius R and a mass moment of inertia J while the springs have spring constants 2k; and k2.Assuming ideal springs and neglecting the effect of gravity on the pulley.„Assuming kj=11 N/m, k2=8 N/m, a=5 m, J=38 kg.m?, and R=11 mFirst, draw the Free Body Diagram of the system and clearly label all forces acting in it. Second.derive the equations of motion of the system for small oscillations using Newton's second law in the:formEquation of Motion: b40 + b30 + b20 + b¡0 + bo . where 0 is the angle that represents.the pully rotation. Third, find the natural frequency of the system (w). :formEquation of Motlon: b40 + b30 +b½0 + b¡0 + bo , where 0 is the angle that represents.the pully rotation. Ihird. find the natural frequency of the system (w).„Finally, fill in the following blanks by the values of bi, and the natural freguency of the system (w)nNotes:1) The coefficient of the higher part of the equation should be 1Ex for third degree system: 6 + 46 + 20 + 50 + 3,Ex for secod degree system: 0 + 20 + 50 + 3,Ex for first degree system: 0 + 50 +31) You should fill the blanks with numbers only and with one decimal at max as EX: 12.12) The error is not cumulative and if you don't know any answer, just fill it with any randomnumber more than 1 (zero is not acceptable).1) The value of b,=2) The value of b3 =3) The value of b2 =

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Engineering

Mechanical Engineering

k2 R

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

Mechanisms of heat transfer

Heat transfer is an essential discipline in thermal engineering that deals with the transfer, conversion, usability, and creation of heat or thermal energy. Transfer of heat occurs through various mechanisms like conduction, convection, radiation, and change of phases. All these mechanisms have distinct characteristics, but these mechanisms can simultaneously occur in an identical system.

Question

Thanks

k2
a
Figure 1
2k,
The mechanical system shown in Figure 1 consists of two springs attached to a pulley. The pulley has
a radius R and a mass moment of inertia J while the springs have spring constants 2k; and k2.
Assuming ideal springs and neglecting the effect of gravity on the pulley.
„Assuming kj=11 N/m, k2=8 N/m, a=5 m, J=38 kg.m?, and R=11 m
First, draw the Free Body Diagram of the system and clearly label all forces acting in it. Second.
derive the equations of motion of the system for small oscillations using Newton's second law in the
:form
Equation of Motion: b40 + b30 + b20 + b¡0 + bo . where 0 is the angle that represents
.the pully rotation. Third, find the natural frequency of the system (w).

:form
Equation of Motlon: b40 + b30 +b½0 + b¡0 + bo , where 0 is the angle that represents
.the pully rotation. Ihird. find the natural frequency of the system (w).
„Finally, fill in the following blanks by the values of bi, and the natural freguency of the system (w)n
Notes:
1) The coefficient of the higher part of the equation should be 1
Ex for third degree system: 6 + 46 + 20 + 50 + 3,
Ex for secod degree system: 0 + 20 + 50 + 3,
Ex for first degree system: 0 + 50 +3
1) You should fill the blanks with numbers only and with one decimal at max as EX: 12.1
2) The error is not cumulative and if you don't know any answer, just fill it with any random
number more than 1 (zero is not acceptable).
1) The value of b,=
2) The value of b3 =
3) The value of b2 =

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