Rankers Physics

Calculation of Center of Mass: Practice Problem & Solution

Masses 2 kg and 5kg are located at origin and (7,0) respectively. Centre of mass  of the arrangement is located at 
(0,5)
(5,0)
(0,0)
(7,0)

Solution Explained:

To solve this problem, we apply the core principles of Calculation of Center of Mass. Understanding the underlying formula is key to arriving at the correct answer below:

Centre of mass is the point which divides the line joining the masses in reverse ratio of masses. 

Here ratio of mass is 2:5 so distance from 2kg mass located at origin will be 5/7 of 7 cm so 

\[ x_{cm}= \frac{2(0)+5(7)}{5+2}= 5 \]

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