Home
Class 11
PHYSICS
A particle of mass m is projected from o...

A particle of mass `m` is projected from origin `O` with speed `u` at an angle `theta` with positive x-axis. Positive y-axis is in vertically upward. Direction. Find the angular momentum of particle at any time `t` about `O` before the particle strkes the ground again.

Text Solution

AI Generated Solution

To find the angular momentum of a particle of mass \( m \) projected from the origin \( O \) with speed \( u \) at an angle \( \theta \) with the positive x-axis, we can follow these steps: ### Step 1: Determine the Position of the Particle The position of the particle at any time \( t \) can be expressed in terms of its horizontal and vertical components: - The horizontal position \( x \) is given by: \[ x = u \cos(\theta) t \] ...
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Solved Examples|25 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Miscellaneous Examples|2 Videos
  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m is projected at t=0 from the point P on the ground with speed v_(0) at an angle of theta to the horizontal. Find the magnitude and direction of the angular momentum of the particle at time t=(v_(0)sintheta)/(2g) .

A particle of mass m is projected with a speed u at an angle theta with the horizontal. Find angular momentum of particle after time t about point of projection.

A particle is projected at time t=0 from a point P on the ground with a speed v_0, at an angle of 45^@ to the horizontal. Find the magnitude and direction of the angular momentum of the particle about P at tiem t= v_0//g

A small particle of mass m is projected at an angle theta with the x-axis, with initial velocity v_0 in the x-y plane. Just before time (2v_0sin theta) /g , the angular momentum of the particle about the point of projection is

A particle of mass m is projected with a speed v at an angle theta with the horizontal. Find the angular momentum of the particle about an axis passing through point of projection and perpendicular to the plane of motion of the particle. (a) When the particle is at maximum height and (b) When the particle is just about to collide with the horizontal surface

A particle of mass 'm' is projected from ground with velocity u making angle theta with the vertical. The de-Broglie wave length of the particle at the highest point is:

A particle of mass m is projected form ground with velocity u making angle theta with the vertical. The de Broglie wavelength of the particle at the highest point is

A particle of mass m is projecte dwilth speed u at an angle theta with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point.

A particle of mass m is projected with a speed u at an angle theta to the horizontal at time t = 0 . Find its angular momentum about the point of projection O at time t , vectorially. Assume the horizontal and vertical lines through O as X and Y axes, respectively.