Forces on the tire if it's just sitting there:
1)weight of the tire and the kid pulling down
2)support of the tree branch where it's tied on pulling the rope up
If the rope is in equilibrium, these forces will cancel.
Now if the swing is actually swinging, it's a bit more complicated. Suppose the tire is displaced by an angle theta and swinging with an angular speed omega.
Now the component of gravity along the line of the rope is:
Fg = m g cos(theta)
And you add to that the centripetal force required to keep the tire moving in a circle:
Fc = m omega^2 r
Add those up to get the tension in the rope, which will be the support required by the tree branch (neglecting drag and the weight of the rope itself):
Ftotal = m (omega^2 r + g cos(theta) ),
where m is the total weight of the kid and tire.
The child is using the principle of resonance. By pumping at the natural frequency of the swing, they are applying periodic impulses that add energy to the swing system, increasing its amplitude. This allows the child to swing higher and higher.
A child sitting on a swing is an example of a balanced force. The force of gravity pulling down on the child is balanced by the tension in the swing's ropes pulling up.
Friction of air normally called drag (or air resistance), it could be argued that gravity also takes effect in stopping the swing, if it was only drag the swing could stop ten feet in the air, and if it was just gravity it wouldn't stop due to the laws of mass and momentum. The drag reduces the momentum, therefore making the swing slow to a stop and gravity keeps it as close to the ground as possible.
When a child is being pushed on a swing, it is an example of an unbalanced force. The force provided by the push helps to overcome the force of gravity to keep the child swinging.
Examples of forces at work include gravity pulling objects toward the Earth, tension in a stretched rubber band, a person pushing a box across the floor, and the magnetic force between two magnets. These forces can cause objects to move or change shape.
When installing a toddler tree swing in your backyard, it is important to consider the following safety precautions: Ensure the tree branch or structure you are attaching the swing to is sturdy and can support the weight of the swing and child. Use high-quality, durable materials for the swing and its attachments to prevent accidents. Install the swing at an appropriate height to prevent the child from falling or getting injured. Regularly inspect the swing for any signs of wear and tear, and make necessary repairs or replacements. Supervise the child while they are using the swing to prevent accidents and ensure their safety.
The child is using the principle of resonance. By pumping at the natural frequency of the swing, they are applying periodic impulses that add energy to the swing system, increasing its amplitude. This allows the child to swing higher and higher.
A child sitting on a swing is an example of a balanced force. The force of gravity pulling down on the child is balanced by the tension in the swing's ropes pulling up.
Parents can support their children in learning to swing at the playground by providing encouragement, demonstrating the proper technique, and supervising to ensure safety. They can also offer praise for progress and practice with their child regularly to help them build confidence and skill.
Because if the child falls off the swing, then they will just bounce on the soft rubber.
Probably the movement on a swing can be approximated by assuming that the magnitude of each swing will be a certain percentage of the previous swing (because of lost energy).
Friction of air normally called drag (or air resistance), it could be argued that gravity also takes effect in stopping the swing, if it was only drag the swing could stop ten feet in the air, and if it was just gravity it wouldn't stop due to the laws of mass and momentum. The drag reduces the momentum, therefore making the swing slow to a stop and gravity keeps it as close to the ground as possible.
Start from the concept of what the structure is intended to do. What forces will act on the frame in its life? What materials are likely to be suitable. What is the strength needed for the service target? What size is allowed/desired. This will give you a rough idea of the type of approach to your question. Consider for example the design of a child's swing, and go to it!
Children can typically independently swing themselves on a swing around the age of 5 or 6, once they have developed the coordination and strength to do so.
When a child is being pushed on a swing, it is an example of an unbalanced force. The force provided by the push helps to overcome the force of gravity to keep the child swinging.
When the child is up in the air on either side of the climax of the swing, it builds potential energy to drop or swing back down towards the other side. When the child falls, gravity and the potential energy work together to make the child fall, and in turn, the kinetic energy not used for the fall goes into pushing the child back up on the other side. Say that there was no gravity involved in this situation. The child would only make it to the bottom of the swing, closest to the ground, because the amount of energy you store up in going higher cannot be amounted to greater as you swing down.
air resistance and friction in the bearings