The answer is not 3.83 or 383 please help!!! Problem 7.52 ?) 7of7 Constents Part

Question

The answer is not 3.83 or 383 please help!!! Problem 7.52 ?) 7of7 Constents PartA Three cubes, of side Lo, 2Lg.and 3Lg, are piaced next to one another (in contact) with their centers along a straight ine as shown in (Figure 1 What is the position, along the ine r, of the CM of this system? Assume the oubes are made of the same uniform material and that zM measured from the left edge of the smalest cube Express your answer in terms of L Submit Previsus Answers Reguest Answer Incorrect Try Again; 4 attempts remaining The correct answer involves the variable L which was not part of your answer Figure 1 of1

Explanation / Answer

volume of the first box, V1 = Lo^3
volume of second box, V2 = (2*Lo)^3 = 8*Lo^3
volume of third box, V3 = (3*Lo)^3 = 27*Lo^3

let m1 = m (mass of the first box)

m2 = 8*m (mass of second box)

m3 = 27*m (mass of third box)

location of center of mass of individual boxes,
x1 = Lo/2 = 0.5*Lo
x2 = Lo + 2*Lo/2 = 2*Lo
x3 = Lo + 2*Lo + (3Lo/2) = 4.5*Lo

Xcm = (m1*x1 + m2*x2 + m3*x3)/(m1 + m2 + m3)

= (m*0.5*Lo + 8*m*2*Lo + 27*m*4.5*Lo)/(m + 8*m + 27*m)

= (23/6)*Lo

= 3.83*Lo <<<<<<--------Answer

don't enter only "3.83"

you should enter "3.83*Lo"

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