ty ty +x +X
Solution
Let, mass of each rod , m = M
length of each rod , L = 7.5 m
Case(a): ( with all four rods )
Total mass, m1 = 4 M
X-coordinate of center of mass , X1 =0
Y-coordinate of center of mass , Y1 =0
Case (b) : ( for the removed rod )
mass, m2 = M
X-coordinate of center of mass , X2 =L / 2 = 7.5 /2 = 3.75 m
Y-coordinate of center of mass , Y2 =0
Center of mass of the remaining part:
X-coordinate of center of mass , Xcm = (m1 X1 - m2 X2 ) / ( m1- m2 )= ( 4 M * 0 - M * 4.0 ) / ( 4 M - M ) = -1.33 m
Y-coordinate of center of mass , Ycm = (m1 Y1 - m2 Y2 ) / ( m1- m2 )= ( 4 M * 0 - M * 0 ) / ( 4 M - M ) = 0 m
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ty ty +x +X SolutionLet- mass of each rod - m - M length of each rod -.docx
1. ty ty +x +X
Solution
Let, mass of each rod , m = M
length of each rod , L = 7.5 m
Case(a): ( with all four rods )
Total mass, m1 = 4 M
X-coordinate of center of mass , X1 =0
Y-coordinate of center of mass , Y1 =0
Case (b) : ( for the removed rod )
mass, m2 = M
X-coordinate of center of mass , X2 =L / 2 = 7.5 /2 = 3.75 m
Y-coordinate of center of mass , Y2 =0
Center of mass of the remaining part:
X-coordinate of center of mass , Xcm = (m1 X1 - m2 X2 ) / ( m1- m2 )= ( 4 M * 0 - M * 4.0 ) / (
4 M - M ) = -1.33 m
Y-coordinate of center of mass , Ycm = (m1 Y1 - m2 Y2 ) / ( m1- m2 )= ( 4 M * 0 - M * 0 ) / ( 4
M - M ) = 0 m
