Four particles each of mass M , move along a circle of radius R under the action of their mutual…

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

  1. 12GMR22+1
  2. 12GMR(22+1)
  3. 12GMR22-1
  4. GMR

Solution

.

Fnet =F1+2 F2cos45°

=GM2(2R)2+2×GM2(2R)2×12=GM24R2+GM22R2=(4+2)GM242R2

Now FC=Fnet 

MV2R=(4+2)GM242R2

V=(4+2)42GMR

Asked in: JEE Main 2021 (01 Sep Shift 2)

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