Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202430 Jan 2024Morning ShiftPhysicsMotion in Two DimensionsActual

A particle of mass m projected with a velocity u making an angle of 30 ° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is :

Options

  1. A3 16 m u 3 g
  2. B3 2 m u 2 g
  3. Cm u 3 2 g
  4. Dzero

Correct answer

A. 3 16 m u 3 g

Step-by-step solution

Angular momentum at maximum height will be, L = m u cos θ h , where h = maximum height Therefore, L = m u cos θ × u 2 sin 2 θ 2 g = m u 3 2 g × 3 2 × 1 2 2 = 3 m u 3 16 g

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle is thrown with a speed v from a point O at an angle with the horizontal plane such that it passes through the point P at a height of 1 m and horizontal distance of 5 m f 2026A car moving with a speed of 54 km/h takes a turn of radius 20 m. A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the string of the pendulum 2026Two identical bodies, projected with the same speed at two different angles cover the same horizontal range R . If the time of flight of these bodies are 5 s and 10 s, respectively 2026If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t-4.9t^2 , respectively, then the angle (in degrees) made by the projectile with horizonta 2026A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4 m. The speed of the bullets from the gun is ______ 2026Two projectiles are projected with the same initial velocities at the 15^ and 30^ with respect to the horizontal. The ratio of their ranges is 1:x . The value of x is: 2026A boy throws a ball into air at 45^ from the horizontal to land it on a roof of a building of height H . If the ball attains maximum height in 2 s and lands on the building in 3 s 2026An object is projected with kinetic energy K from a point A at an angle 60^ with the horizontal. The ratio of the difference in kinetic energies at points B and C to that at point 2026 Full Motion in Two Dimensions list All JEE Main PYQs