Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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  1. A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position (state 1) to the vertical position (state 2), determine the following.

     5) when use T to represent kinetic energy, V potential energy, U work done and if the bar is at rest at state 1,  the principle of work-energy in this case could be expressed as____________ .

     

       

    ∑U(1-2)=T2+V2

       

    T1+V1=T2+V2

       

    T1+∑U(1-2)=V2

       

    V1+∑U(1-2)=T2+V2

A bar is attached to the spring at the point C. The left end of the bar is pin supported and can
rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is
LAB=3m and LAC-2m. Point A is 0.6 m below the ceiling. A clockwise constant couple
moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position
with 8=0° to the vertical position with 8-90°. The spring always maintains at the vertical
position. The spring's stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The
acceleration due to gravity g=9.81 m/s². During the process that the bar rotates from the
horizontal position (state 1) to the vertical position (state 2), determine the following.
5) when use T to represent kinetic energy, V potential energy, U work done and if the bar is
at rest at state 1, the principle of work-energy in this case could be expressed
as
A
n
=====
B
DD
M
B
State 1
Ο Συ(1-2)=T2+V2
O T1+V1=T2+V2
O T1+ZU(1-2)=V2
O V1+ZU(1-2)=T2+V2
C
State 2
B
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Transcribed Image Text:A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC-2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with 8=0° to the vertical position with 8-90°. The spring always maintains at the vertical position. The spring's stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s². During the process that the bar rotates from the horizontal position (state 1) to the vertical position (state 2), determine the following. 5) when use T to represent kinetic energy, V potential energy, U work done and if the bar is at rest at state 1, the principle of work-energy in this case could be expressed as A n ===== B DD M B State 1 Ο Συ(1-2)=T2+V2 O T1+V1=T2+V2 O T1+ZU(1-2)=V2 O V1+ZU(1-2)=T2+V2 C State 2 B
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Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning