What condition is necessary for rotational equilibrium?
Answers
Answer:
Explanation:
First Condition of Equilibrium
For an object to be in equilibrium, it must be experiencing no acceleration. This means that both the net force and the net torque on the object must be zero. Here we will discuss the first condition, that of zero net force.
In the form of an equation, this first condition is:
F
net
=
0
.
In order to achieve this conditon, the forces acting along each axis of motion must sum to zero. For example, the net external forces along the typical x– and y-axes are zero. This is written as
net
F
x
=
0
and
net
F
y
=
0
.
The condition
F
net
=
0
must be true for both static equilibrium, where the object’s velocity is zero, and dynamic equilibrium, where the object is moving at a constant velocity.
Below, the motionless person is in static equilibrium. The forces acting on him add up to zero. Both forces are vertical in this case.
image
Person in Static Equilibrium: This motionless person is in static equilibrium.
Below, the car is in dynamic equilibrium because it is moving at constant velocity. There are horizontal and vertical forces, but the net external force in any direction is zero. The applied force between the tires and the road is balanced by air friction, and the weight of the car is supported by the normal forces, here shown to be equal for all four tires.
image
A Car in Dynamic Equilibrium: This car is in dynamic equilibrium because it is moving at constant velocity. The forces in all directions are balanced.
Second Condition
The second condition of static equilibrium says that the net torque acting on the object must be zero.