What simple machines are used in a swing set?
Levers (if it's got a see-saw) and ramps (if it's got a slide.)
Pendulums—do they count?
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Swing sets commonly utilize simple machines such as a pivot point (fulcrum) for the swings, chains for suspension (pulleys), and inclined planes in the slide.
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The simple machines used in a swing set are primarily the lever and the pulley. The swing itself functions as a lever, with the pivot point at the top where the chains or ropes are attached to the frame. When a person sits on the swing and applies force by pushing their legs or body, the lever (swing) moves around the pivot point, allowing the person to swing back and forth.
Additionally, some swing sets may incorporate pulleys, especially in designs with multiple swings attached to a single beam or crossbar. Pulleys are used to redirect the force applied by the swinger, making it easier to move the swing and providing mechanical advantage. However, not all swing sets may include pulleys, as they are not essential for the basic function of swinging.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #7 kg#. If the first weight is # 8 m# from the fulcrum, how far is the second weight from the fulcrum?
- The force applied on a moving object with a mass of #3 kg # on a linear path is given by #F(x)=x^2+1 #. How much work would it take to move the object over #x in [0,2 ] #?
- What is the gravitational potential energy of a # 9 kg# object on a shelf # 3/5 m # high?
- A spring with a constant of #6 (kg)/(s^2)# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg # and speed of # 5 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- A spring with a constant of #1 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #2/3 kg# and speed of #1/4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
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