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Two blocks of mass 1kg and 3 kg have pos...

Two blocks of mass `1kg` and `3 kg` have position v ectors ` hat(i) + 2 hat(j) + hat(k)` and `3 hat(i) - 2 hat(j) + hat(k)` , respectively . The center of mass of this system has a position vector.

A

`-2 hat(i) + 2hat(k)`

B

`-2 hat(i) - hat(j) + hat(k)`

C

`2hat(i) - hat(j)- hat(k)`

D

`-hat(i) + hat(j) + hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(r_(CM)) = (m_(1) vec(r)_(1) + m_(2) vec(r)_(2))/(m_(1) + m_(2)) = (1(hat(i) + 2hat(j) + hat(k)) + 3(-3 hat(i)- 2hat(j)+ hat(k)))/(4)`
`vec(r)_(CM)= (-8 hat(i) - 4hat(j)+ 4hat(k))/(4)`
`vec(r)_(CM)= -2hat(i) - hat(j) + hat(k)`
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