Home
Class 12
PHYSICS
A particle of mass m has been thrown up ...

A particle of mass m has been thrown up initial speed u making angle `theta` with the horizontal. Find the torque of its weight about the point projection when it just reached the highest point.

Text Solution

Verified by Experts

At the highest point it has only horizontal velocity
`v_(x) = v cos theta`
Length of the perpendicular to the horizontal velocity from .O. is the maximum height, where
`H_(max) = (v^(2) sin^(2) theta)/(2g)`
The required angular momentum,
`L = (mv^(3) sin^(2) theta cos theta)/(2g)`, which is directed along negative z-axis.
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle of mass m is projected with 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 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 is fired from a point on the ground with speed u making an angle theta with the horizontal.Then

A particle of mass m has been thrown with intial speed u making angle theta with the horizontal ground. Find the angular momentum of the projectile about an axis perpendicular to the plane and passing through the point of projection when the projectile is (a) At the highest point (b) About to hit the ground

A particle of mass m has been thrown with intial speed u making angle theta with the horizontal ground. Find the angular momentum of the projectile about an axis perpendicular to the plane and passing through the point of projection when the projectile is (a) At the highest point (b) About to hit the ground

A particle of mass m is projected with velocity v at an angle theta with the horizontal. Find its angular momentum about the point of projection when it is at the highest point of its trajectory.

A particle of mass 1kg has been thrown with initial speed 20 m/s making an angle 60° with the horizontal ground. the angular momentum of the particle about point of projection when the projectile is at highest point is (g=10m/s^2)

A particle of mass m=1kg is projected with speed u=20sqrt(2)m//s at angle theta=45^(@) with horizontal find the torque of the weight of the particle about the point of projection when the particle is at the highest point.

If a particle of mass m is thrown with speed at an angle 60° with horizontal, then angular momentum of particle at highest point about point of projection is

A body of mass m is projected with a velocity u at an angle theta with the horizontal. The angular momentum of the body, about the point of projection, when it at highest point on its trajectory is