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Question

Question: The position of centre of mass far of the solid body shown in fig. is- \[mass of part of body below ...

The position of centre of mass far of the solid body shown in fig. is- [mass of part of body below X is 2m and above X –Z plane is m)

A

R12\frac{R}{12}

B

5R24\frac{5R}{24}

C

3R24\frac{3R}{24}

D

None

Answer

5R24\frac{5R}{24}

Explanation

Solution

Xcm = 0

Ycm = m×3R82m×2R4m+2m\frac{m \times \frac{3R}{8} - 2m \times \frac{2R}{4}}{m + 2m}Ycm= 3R8R3\frac{\frac{3R}{8} - R}{3} = – 5R24\frac{5R}{24}