A) \[\frac{4\ell }{3}\]
B) \[\ell \]
C) \[\frac{2\ell }{3}\]
D) \[\frac{3\ell }{2}\]
Correct Answer: A
Solution :
For translational motion the force should be applied at the center of mass of the body Let the mass of AB be m, so the mass of vertical rod is 2 m. We can consider that the whole mass of a rod is placed at its center of mass \[\therefore \]Mass m is placed at\[{{y}_{1}}\]and mass 2 m is placed at\[{{y}_{2}}\] Hence, distance of combined center of mass from C \[=\frac{m.2l+2ml}{m+2m}=\frac{4}{3}l\] Hence, the correction option is [a].You need to login to perform this action.
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