JEE Main 2024 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2024

A body of mass 5 kg moving with a uniform speed 3√2 ms⁻¹ in X-Y plane along the line y = x + 4. The angular momentum of the particle about the origin will be kg m²s⁻¹.

Answer: 60

Solution

The perpendicular distance of the line y = x + 4 from the origin is 4/√2 = 2√2 m. L = mvr = 5 × 3√2 × 2√2 = 60 kg m² s⁻¹.

Question ID VK-016773