A rigid body consists of a 3kg mass located, at bar r1=(2 hati+5 hatJ)m and a 2kg mass located, at bar r2=(4 hati+2 hatJ)m The position of center of mass is

Question

A rigid body consists of a 3kg mass located, at bar r1=(2 hati+5 hatJ)m and a 2kg mass located, at bar r2=(4 hati+2 hatJ)m The position of center of mass is (A) ((14/5) j+(19/5)i)m (B) ((14/5) i+(19/5)j)m (C) ((19/5) i+(14/5)j)m (D) 0

Tardigrade Admin · Accepted Answer

vecrc m=(m1 vecr1+m2 vecr2/m1+m2)

Q. A rigid body consists of a 3kg mass located, at $\overset{r}{ˉ}_{1} = (2 \hat{i} + 5 \hat{J}) m$ and a 2kg mass located, at $\overset{r}{ˉ}_{2} = (4 \hat{i} + 2 \hat{J}) m$ The position of center of mass is

$(\frac{14}{5} j + \frac{19}{5} i) m$

$(\frac{14}{5} i + \frac{19}{5} j) m$

$(\frac{19}{5} i + \frac{14}{5} j) m$

0

$r_{c m} = \frac{m _{1} r _{1} + m _{2} r _{2}}{m _{1} + m _{2}}$

Q. A rigid body consists of a 3kg mass located, at rˉ1​=(2i^+5J^)m and a 2kg mass located, at rˉ2​=(4i^+2J^)m The position of center of mass is

(514​j+519​i)m

(514​i+519​j)m

(519​i+514​j)m

0

rcm​=m1​+m2​m1​r1​+m2​r2​​

Q. A rigid body consists of a 3kg mass located, at $\overset{r}{ˉ}_{1} = (2 \hat{i} + 5 \hat{J}) m$ and a 2kg mass located, at $\overset{r}{ˉ}_{2} = (4 \hat{i} + 2 \hat{J}) m$ The position of center of mass is

$(\frac{14}{5} j + \frac{19}{5} i) m$

$(\frac{14}{5} i + \frac{19}{5} j) m$

$(\frac{19}{5} i + \frac{14}{5} j) m$

$r_{c m} = \frac{m _{1} r _{1} + m _{2} r _{2}}{m _{1} + m _{2}}$