CBSE Class 11-science Answered
4 identicle bodies of mass m are located at vertices of square of side l they revolve under the effect of mutual gravitational force in circle circumscribing the square then the speed of each body will be
Asked by shivanipanchal6883 | 05 Jan, 2023, 02:44: PM
Expert Answer
Figure shows system that consists of 4 partcles of mass m positioned at the vertex of square of side l .
Each mass is attracted along sides by force FS and also along diagonal by force FD .
Force FS = 
Force FD = 
where G is universal gravitational constant.
Forces acting on sides gives resultant along diagonal .
Hence net resultant force Fnet acting on each mass along diagonal is
Fnet = √2 FS + FD = 
If above force is acting as centripetal force for the masses to rotate along circle
that is circumscribing the square , then speed v of each mass is determined as follows
where R = 
is radius of circle
is radius of circle
After simplification of above expression, we get 
Answered by Thiyagarajan K | 05 Jan, 2023, 05:32: PM
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