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The forces in the first pictures would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this fictitious/inertial force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit: but the later two images are, as far as I can figure out, completely wrong (if it should be a view from airplane's reference frame, CF and horizontal lift has to match always), so be careful trusting any information from this source. It is possible that first image makes sense only by chance and author actually does not understand underlying physics.

The forces in the first pictures would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this fictitious/inertial force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit2: The later two images are not complete. Forces has to be always in balance if viewed from airplane's reference frame. They are missing part of aerodynamic force generated by side-wise motion through air, which is definition of slip and skid (you can call it drag or airframe-lift). See @quietflyer's answer for more details on this.

The forces in the first pictures would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this virtual force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit: but the later two images are, as far as I can figure out, completely wrong (if it should be a view from airplane's reference frame, CF and horizontal lift has to match always), so be careful trusting any information from this source. It is possible that first image makes sense only by chance and author actually does not understand underlying physics.

The forces in the first pictures would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this fictitious/inertial force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit: but the later two images are, as far as I can figure out, completely wrong (if it should be a view from airplane's reference frame, CF and horizontal lift has to match always), so be careful trusting any information from this source. It is possible that first image makes sense only by chance and author actually does not understand underlying physics.

The forces in pictures shown would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this virtual force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit: but the later two images are, as far as I can figure out, completely wrong (if it should be a view from airplane's reference frame, CF and horizontal lift has to match always), so be careful trusting any information from this source. It is possible that first image makes sense only by chance and author actually does not understand underlying physics.

The forces in the first pictures would be as shown if you are observing situation from reference frame connected to the turning airplane. Then, in this reference frame, the airplane is not moving and therefore neither turning. Other forces, gravity and interaction with air molecules remains in place, so in order to make the description consistent, you need to add centrifugal force.

If you observe the situation from ground, there is no centrifugal force (because this virtual force appears as a consequence of applying laws of motion in rotating reference system) and horizontal component of lift makes observed trajectory circular.

Edit: but the later two images are, as far as I can figure out, completely wrong (if it should be a view from airplane's reference frame, CF and horizontal lift has to match always), so be careful trusting any information from this source. It is possible that first image makes sense only by chance and author actually does not understand underlying physics.