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A rigid body consists of a 3kg mass loca...

A rigid body consists of a `3kg` mass located at `vec r_1=(2hat i + 5 hat j)m` and a `2kg` mass located at `vec r_2 = (4hat i +2 hat j)m`. The position of centre of mass is

A

`(14/5 hatj+19/5 hati)m`

B

`(14/5 hati+19/5hatj) m`

C

`(19/5 hati+14/5hatj) m`

D

`0`

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))`
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A rigid body consists of a 3 kg mass connected to a 2 kg mass by a massless rod. The 3 kg mass is located at vec(r )_(1) = (2hat(i) + 5hat(j))m and the 2 kg mass at vec(r )_(2) = (4hat(i) + 2hat(j))m . Find the length of rod and the coordinates of the centre of mass.

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Knowledge Check

  • If vec F = 2 hat i - 3 hat j N and vec r = 3 hat i + 2 hat j m then torque vec tau is

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