MEDIUM
JEE Advanced
IMPORTANT
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Two particles P and Q have mass 4.0 kg and 1 kg respectively. They are projected along a vertical line with velocity uP= 20 m s-1 and uQ=5 m s-1 when separation between them was 60 m. P was projected vertically up while Q was projected vertically down. Calculate the maximum height attained (in m ) by the centre of mass of the system of two particles, measured from the initial position of P. Assume that the particles do not collide and that the ground is far below their point of projection g=10 m s-2.

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Important Questions on System of Particles and Centre of Mass

HARD
JEE Advanced
IMPORTANT

Two blocks of masses m=2 kg and M=8 kg are connected to a spring of force constant k=1kN/m. The spring is compressed by 20 cm and the two blocks are held in this position by a string. The system is placed on a horizontal smooth surface and given a velocity u=3 m/s perpendicular to the spring. The string snaps while moving. The speed (in m/s ) of the block of mass m when the spring regains its natural length is

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MEDIUM
JEE Advanced
IMPORTANT

Three identical particles are placed on a horizontal smooth table, connected with strings as shown. The particle B is imparted a velocity v0=9 m/s in horizontal direction perpendicular to the line ABC. The speed (in m/s ) of particle A when it is about to collide with C.

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