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Question

Seven homo genous bricks , each of length L , are arranged as shown below. Each brick is displaced with respect to the one in contact by L10. Find X coordinate of the centre of mass relative to the origin shown


A

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B

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C

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D

None of these

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Solution

The correct option is D

None of these


Let 'O' (0, 0) be the origin of the system.
Each brick is mass 'M' and length 'L'


Each brick is displaced w.r.t. one in contact by L10
The X coordinate of the centre of mass\
¯¯¯¯¯¯¯¯¯¯¯Xcm = m(L2) + m(L2 + L10)+ m(L2 + 3L10) + m(L2 + 3L10 L10) + m(L2 + L10) + m(L2)7m
= L2 + L2 + L10 + L2 + L5 + L2 + 3L10 + L2 + L5 + L2 + L10 + L27
= 7L2 + 5L10 + 2L57 = 35L + 5L + 4L10×7 = 44L70 = 1135L


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