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An object is placed at the position x1 = 64 cm and a second mass that is 3/2 tim

ID: 1364243 • Letter: A

Question

An object is placed at the position x1 = 64 cm and a second mass that is 3/2 times as large is placed at x2 = 163 cm. Find the location of the center of mass of the system. An object is placed at the position x1 = 64 cm and a second mass that is 3/2 times as large is placed at x2 = 163 cm. Find the location of the center of mass of the system. An object is placed at the position x1 = 64 cm and a second mass that is 3/2 times as large is placed at x2 = 163 cm. Find the location of the center of mass of the system.

Explanation / Answer

Let m1 = m, x1 = 64 cm

m2 = (3/2)*m

= 1.5*m

x2 = 163 cm

we know,

Xcm = (m1*x1 + m2*x2)/(m1+m2)

= (m*64 + 1.5*m*163)/(m+m)

= 123.4 cm