Question
Physics Question on System of Particles & Rotational Motion
A particle of mass m is projected at velocity at a velocity u, making an angle θ with the horizontal(x-axis). If the angle of projection θ is varied keeping all other parameters same, then magnitude of angular momentum(L) at its maximum height about the point of projection varies with θ as,
Solution
The magnitude of angular momentum (L) at its maximum height about the point of projection remains constant as the angle of projection (θ) is varied. The angular momentum is determined by the cross product of the particle's position vector and its linear momentum vector. Since both the position vector and linear momentum vector rotate in the same plane with respect to each other, their relative orientation does not change as the angle of projection changes. Consequently, the magnitude of angular momentum remains the same regardless of the value of θ.
The correct option is(D):
