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

Statement-I: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle. Statement-II: Centre of mass lying outside the system makes the system unstable.

Options

  1. ABoth Statement-I and Statement-II are correct.
  2. BBoth Statement-I and Statement-II are incorrect.
  3. CStatement-I is correct and Statement-II is incorrect.
  4. DStatement-I is incorrect and Statement-II is correct.

Correct answer

A. Both Statement-I and Statement-II are correct.

Step-by-step solution

- Stability criterion: an object is stable as long as the vertical line through its centre of mass (CM) falls inside the base of support. If the vertical from the CM passes outside the base, the normal reaction can no longer provide a balancing moment and the object will tip. - Apply to the chair. when you lean back on the hind legs you tilt the chair so the projection of the combined CM (you + chair) moves toward the back edge of the base. At a certain tilt angle the vertical through the CM crosses the rear edge -

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 NEET PYQs