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MHT CET · Physics · Center of Mass Momentum and Collision

Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are
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  1. A \(\left(\frac{a}{3}, \frac{a}{3}\right)\)
  2. B \(\left(a, \frac{a}{2}\right)\)
  3. C \(\left(2 a, \frac{a}{2}\right)\)
  4. D \(\left(\frac{2 a}{3}, \frac{a}{3}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\left(\frac{2 a}{3}, \frac{a}{3}\right)\)

Step-by-step Solution

Detailed explanation

\( (0,\tfrac{a}{2}),\quad (a,0),\quad (a,\tfrac{a}{2}) \) \( x_{cm}=\frac{0+a+a}{3}=\frac{2a}{3} \)