Two identical beads are attached to free springs of spring constant

k=[( 2 + √3)mg ] / √3 R.

Initially both springs make an angle of 60 at the fixed point and normal length of each spring is 2R where R is the radius of smooth ring over which bead is sliding. ring is placed on vertical plane and beads are at symmetry with respect to vertical line as diameter.

* Normal reaction on one of the bead at initial moment due to ring is......

A. mg/2

B.√3mg/2

C.mg

D.none

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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