Constants| Periodic Table Part A All three disks are made of sheet metal of the

Question

Constants| Periodic Table Part A All three disks are made of sheet metal of the same material, and the diameters are 1.4 m 2.8 m and 4.2 m.Assume that the x-axis has its origin at the left most point of the left-most object and it points to the right. Determine the location of the center of mass of the system shown in (Figure Express your answer with the appropriate units Zonn=1 Value Im Submit revious Answers Request Answer XIncorrect: Try Again Figure 10f 1 Part B Repeat the calculation for three solid spheres all made of the same metal and having the same diameters as in part A. Express your answer with the appropriate units Tan- 1 Value Units Tcm Submit equest Answer

Explanation / Answer

a)

x1 = 1.4 /2

= 0.7 m

x2 = 1.4 + 2.8/2

= 2.8 m

x3 = 1.4 + 2.8 + 4.2 / 2

= 6.3 m

usiing equation Xcm = ( m1x1 + m2x2 + m3x3 / m1 + m2 + m3 )

we have from the above d2 = 2 d1 and d3 = 3 d1

x2 = 4 x1 and x3 = 9 x1

Xcm = d13 x1 + 4 d13 (4x1) + 9 d13 (9x1) / d13 + 4 d13 + 9 d13   

Xcm = ( 1 + 16 + 81 ) x1 / 1 + 4 + 9

Xcm = 4.9 m

b )

we know from given all diameters are same

d1 = d2 = d3 = d

x2 = 4 x1 and x3 = 9 x1

Xcm = d13 x1 + d23 (x2) + d33 (x3) / d13 + d23 + d33

Xcm = d3 ( x1 + 4x1 + 9x1 ) / 3 d3

Xcm = 14 x1 / 3

Xcm = 3.2666 m

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