A particle of mass m is projected with a speed u at an angle θ 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.
The torque of the particle is
Given
The mass of the particle is given as “m”, and moving at a velocity of “u” at an angle of.
Formula Used
The formula used is that of a torque which tells us the mechanics of force which helps the object to rotate. The formula is
where
F is the force applied on the object; r is the radius of the object turning.
Explanation
The force of the object when in motion in linear path is
The radius (in terms of velocity and: angle of turning) can be written as:
The value of can be written as
Now putting the value of radius in the torque we get the value as: