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TORQUE AND ANGULAR MOMENTUM

Angular Acceleration

Question 1

Torque is responsible for producing Angular Acceleration

Hint

Torque is the rotational analogue of force in linear motion

Question 2

If a rigid body is fixed at a point or along a line, it won't have angular acceleration

Hint

If the body is fixed at a point or along a line, it has only rotational motion

Moment of force (Torque)

Question

When torque is present, there is a change in the state of rotational motion, i.e. is angular acceleration of a rigid body

Select correct equations for torque

Answers

t

τ = r F sin θ

τ = ( r sin θ ) F = r⊥ F

τ = r F sin θ = r F⊥

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Angular momentum of a particle

It is the rotational analogue of Linear momentum

It is the Moment of Linear Momentum

In vector form l =r x p
The magnitude of the angular momentum vector is l = r p sin θ
Or
l = r p⊥ = r⊥ p

p⊥ = p sinθ , is the component of p in a direction to r

r⊥ = r , is the  perpendicular distance of the directional line of p from the origin

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Torque definition

The time of the total angular of a system of particles about a point is equal to the sum of the external torques

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Conservation of angular momentum

If the total external torque on a system of particles is , then the total angular of the system is conserved

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