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JEE Main20266 April 2026Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point ( p ) of normal bisector, as shown in the figure is _______.

Options

  1. A( 3 4 , 1.25 )
  2. B( 3 4 , 1.0 )
  3. C(0, 0)
  4. D(1.25, 0)

Correct answer

A. ( 3 4 , 1.25 )

Step-by-step solution

Let the midpoint p of the normal bisector be the origin (0,0) . The triangle is isosceles with two sides of 10 m and an included angle of 120^ . The altitude from the 15 kg mass bisects the angle into two 60^ angles. The length of the altitude is 10 (60^ ) = 5 m . Since p is the midpoint of this altitude, the 15 kg mass is at a distance of 2.5 m above p , and the base is 2.5 m below p . The distance of the 2 kg and 3 kg masses from the altitude is 10 (60^ ) = 5 3 m . The coordinates of the masses with respect to p

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