# Simple Machines

Simple Machines form the basic building blocks of mechanical systems, showcasing the elegance of physics in their fundamental simplicity. These uncomplicated devices, including levers, pulleys, and inclined planes, operate on the principle of mechanical advantage, making work more manageable. With roots dating back to ancient times, simple machines are the essence of efficiency, enabling humans to achieve tasks with minimal effort. This foundational understanding of mechanics is crucial in various fields, from engineering to everyday life, as it unveils the principles that govern the interaction between force and motion.

Questions

- An object with a mass of #15 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #9 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #4 kg# is hanging from an axle with a radius of #39 m#. If the wheel attached to the axle has a radius of #15 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #2 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
- A balanced lever has two weights on it, the first with mass #4 kg # and the second with mass #9 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?
- A wrench with a length of #40 cm# is being used to unscrew a #4 cm# bolt. If a torque of #15 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?
- A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #2 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #8 m#, how much force must be applied to the wheel to keep the object from falling?
- What mechanical advantage does a lever have?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #18 m#. If the wheel attached to the axle has a radius of #8 m#, how much force must be applied to the wheel to keep the object from falling?
- How do simple machines change the direction of force?
- An object with a mass of #2 kg# is hanging from an axle with a radius of #3 m#. If the wheel attached to the axle has a radius of #3 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #24 kg# is hanging from an axle with a radius of #16 m#. If the wheel attached to the axle has a radius of #72 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #1 kg# is hanging from an axle with a radius of #16 m#. If the wheel attached to the axle has a radius of #64 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #12 kg# is hanging from an axle with a radius of #2 m#. If the wheel attached to the axle has a radius of #6 m#, how much force must be applied to the wheel to keep the object from falling?
- A balanced lever has two weights on it, the first with mass #4 kg # and the second with mass #6 kg#. If the first weight is # 8 m# from the fulcrum, how far is the second weight from the fulcrum?
- A balanced lever has two weights on it, the first with mass #14 kg # and the second with mass #9 kg#. If the first weight is # 2 m# from the fulcrum, how far is the second weight from the fulcrum?
- An object with a mass of #8 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #90 cm#, how much force must be applied to the wheel to keep the object from falling?
- A balanced lever has two weights on it, the first with mass #7 kg # and the second with mass #3 kg#. If the first weight is # 2 m# from the fulcrum, how far is the second weight from the fulcrum?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #18 m#. If the wheel attached to the axle has a radius of #6 m#, how much force must be applied to the wheel to keep the object from falling?
- An object with a mass of #8 kg# is hanging from an axle with a radius of #27 m#. If the wheel attached to the axle has a radius of #24 m#, how much force must be applied to the wheel to keep the object from falling?