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chapter 7 question 16 ment MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BAC

ID: 1778430 • Letter: C

Question

chapter 7 question 16


ment MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT Four very thin rods, each 8.8 m long, are joined to form a square, as part (a) of the drawing shows. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed, as shown in part (b) of the drawing. What are the x- and y-coordinates of the center of mass of the remaining three-rod system? ty tx C) Units x coordinate of the center of mass - Number Units y coordinate of the center of mass Number 0 0e@a ch

Explanation / Answer

Let mass of each rod ,be M
Case1: 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 2 : with removed rod
    mass, m2 = M
    X-coordinate of center of mass , X2 =L / 2 = 8.8 /2 = 4.4 m
    Y-coordinate of center of mass , Y2 =0
Center of mass of the remaining part

Xcm = (m1 X1 - m2 X2 ) / ( m1- m2 = ( 4 M * 0 - M * 4.4 ) / ( 4 M - M )
Xcm=-1.47 m
Ycm = (m1 Y1 - m2 Y2 ) / ( m1- m2 )=0
  

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