Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER2008PhysicsCenter of Mass, Momentum and Collision

A small disc of radius 2 cm is cut from a disc of radius 6 cm . If the distance between their centres is 3.2 cm , what is the shift in the centre of mass of the disc?

Options

  1. A0.4 cm
  2. B2.4 cm
  3. C1.8 cm
  4. D1.2 cm

Correct answer

A. 0.4 cm

Step-by-step solution

The situation can be shown as : Let radius of complete disc is a and that of small disc is b . Also let centre of mass now shifts to O ₂ at a distance x₂ from original centre. The position of new centre of mass is given by X_ CM = - b^2 x₁ a^2- b^2 Here, a=6 ~cm , b=2 ~cm , x₁=3.2 ~cm Hence, X_ CM = - (2)^2 3.2 (6)^2- (2)^2 aligned & = 12.8 32 & =-0.4 ~cm aligned

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point A ( = 2 ) with identical unifo 2026Bob B of mass m at rest is hanging vertically from the ceiling via a massless string of length 10 m, as shown in the figure. Point mass A of mass m travelling horizontally with spe 2026A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the gro 2025Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v₁ while body B is at rest before collision. The velocity of 2024Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3 v , the speed of cent 2023A 1 ~kg object strikes a wall with velocity 1 ~ms ⁻¹ at an angle of 60^ with the wall and reflects at the same angle. If it remains in contact with wall for 0.1 ~s , then the force 2023A bullet of mass m hits a block of mass M elastically. The transfer of energy is the maximum, when 2023A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1 . If the fragments having equal mass fly off along mutually perpendicula 2022 Full Center of Mass, Momentum and Collision list All JIPMER PYQs