The U shaped object shown in the figure has outside dimensions of 100 mm each side and each of its three sides is 20 mm wide. The respective values of the X, Y and Z coordinates of the center of mass of the object will be close to

Question

The U shaped object shown in the figure has outside dimensions of 100 mm each side and each of its three sides is 20 mm wide. The respective values of the X, Y and Z coordinates of the center of mass of the object will be close to (A) (50, 50, 3) mm (B) (50, 50, 6) mm (C) (50, 38, 3) mm (D) (50, 41, 3) mm

Tardigrade Admin · Accepted Answer

object Mean X Y Z Left bar mA 10 mm 50 mm 3 mm Right bar mB 90 mm 50 mm 3 mm Bottom bar mC 50 mm 50 mm 3 mm x min =(mA xA+mB+xB+mc xc/ms y s) =(m(10)+m(90)+0.6 m(50)/2.6 m) =50 m m y min =(mA VA+mB yB+mc yc/ms y s) =(m(50)+m(50)+0.6 m(10)/2.6 m) = 41 m m z=(m(3 m m)+m(3 m m)+0.6 m(3 m m)/2.6 m) z=3 m m

object	Mean	X	Y	Z
Left bar	$m_{A}$	$10 mm$	$50 mm$	$3 mm$
Right bar	$m_{B}$	$90 mm$	$50 mm$	$3 mm$
Bottom bar	$m_{C}$	$50 mm$	$50 mm$	$3 mm$

Q. The U shaped object shown in the figure has outside dimensions of 100mm each side and each of its three sides is 20mm wide. The respective values of the X,Y and Z coordinates of the center of mass of the object will be close to

(50, 50, 3) mm

(50, 50, 6) mm

(50, 38, 3) mm

(50, 41, 3) mm

Q. The $U$ shaped object shown in the figure has outside dimensions of $100 mm$ each side and each of its three sides is $20 mm$ wide. The respective values of the $X, Y$ and $Z$ coordinates of the center of mass of the object will be close to