Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbookNSEPRotational Motion

A solid hemisphere is cemented on the flat surface of a solid cylinder of same radius R and same material. The composite body is rotating about the axis of the cylinder of length with angular speed . The radius of gyration K is

Options

  1. AR 2 5 ( 15 R +8 3 R +2 )
  2. BR 1 10 ( 15 +8 R 3 +2 R )
  3. CR 3 10 ( 15 R +8 3 R +2 )
  4. DR 1 10 ( 3 +2 R 15 +8 R )

Correct answer

B. R 1 10 ( 15 +8 R 3 +2 R )

Step-by-step solution

No solution

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A sphere of radius R made up of Styrofoam (light polystyrene material) has a cavity of radius R / 2 . The centre of the cavity is situated at a distance of R / 2 from the centre ofA ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B initially at rest. The ball A then moves at right angles to its initial direction at a speedConsider two point masses m₁ and m₂ connected by a light rigid rod of length r₀ . The moment of inertia of the system about an axis passing through their centre of mass and perpendTwo point masses m₁ and m₂ are connected at the ends of a light rigid rod of length l . The moment of inertia of the system about an axis through their centre of mass and perpendicA particle at rest explodes into two fragments of masses m₁ and m₂ (m₁>m₂ ) which move apart with nonzero velocities. If ₁ and ₂ are their de Broglie wavelengths respectively, thenA ball of mass m hits directly another ball of mass M at rest and is brought to rest by the impact. One third of the kinetic energy of the ball is lost due to the collision. The coTwo particles A and B of equal masses have velocities v_A =2 + and v_B =- +2 . The particles move with accelerations a_A =-4 - and a_B =-2 +3 respectively. The centre of mass of thRocket fuel is capable of giving an exhaust velocity of V_ rel =2.4 ~km / s in the absence of any external forces. The fuel required per kg of the payload to provide an exhaust vel Full Rotational Motion list All Olympiad workbook PYQs