Question

all one question, please answer all 4 parts

B Three 80.5 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (15.2, 16.5), and mass C is at (16.3, 12.4). Find the x- and y -coordinates of the center of mass of the triangular object. с А cm cm Ycm = E Two more 80.5 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0, -45.5) and the coordinates of mass E are (0,45.5). Find the x- and y-coordinates of the new center of mass of the combined object. с

Answer 1

because all threre masses are equal that means center of mass is equalt to the centroid of triangle

so,

$x_{cm}=\frac{x_1+x_2+x_3}{3}$

so we get

$x_{cm}=\frac{0+15.2+16.3}{3}=10.5cm$

and

$y_{cm}=\frac{y_1+y_2+y_3}{3}$

so,

$y_{cm}=\frac{0+16.5+12.4}{3}=9.63cm$

2) Now two more massses are set at (0,45.5 ) and (0,-45.5)

so now

$x_{cm}=\frac{x_1+x_2+x_3+x_4+x_5}{5}$

so,

$x_{cm}=\frac{0+15.2+16.3+0+0}{5}=6.3cm$

and

$y_{cm}=\frac{0+16.5+12.4+45.5-45.5}{5}=5.78cm$