JEE Main2016PhysicsRotational MotionActual
A particle of mass m is moving along the side of a square of side 'a', with a uniform speed υ in the x-y plane as shown in the figure: Which of the following statements is false for the angular momentum L → about the origin?
Options
- AL → = m υ R 2 + a k ^ when the particle is moving from B to C.
- BL → = m υ 2 R k ^ when the particle is moving from D to A.
- CL → = - m υ 2 R k ^ when the particle is moving from A to B.
- DL → = m υ R 2 + a k ^ when the particle is moving from C to D.
Correct answer
B. L → = m υ 2 R k ^ when the particle is moving from D to A.
Step-by-step solution
L → = r → × P → or L → = r p sin ⁡ θ n ^ For D to A, L → = R 2 m v - k ^ For A to B, L → = R 2 m v - k ^ For C to D, L → = R 2 + a m v k ^ For B to C, L → = R 2 + a m v k ^