Pulley v2.0 Curriculum Packet Progression: Applications in Design & Engineering - Section 3 Introduction This Rokenbok STEM-Maker lesson will use the following steps to learn about the pulley. 2. Build & Modify 1. Learn Elements of a pulley Purpose of a pulley system Real world applications Creating mechanical advantage with pulleys 3. Design & Engineer Build a fixed pulley system Build a movable pulley system Modify a pulley system from 2:1 to 3:1 mechanical advantage Design & engineer a custom pulley system to solve a challenge Learning Objectives Resources Understand the basic elements of a pulley. Understand how a pulley redirects motion and creates mechanical advantage. Calculate the amount of mechanical advantage in a pulley system. SnapStack Module Modify a pulley system to increase mechanical advantage. *4 Students Per Module or Programmable Robotics Module or *4 Students Per Module Advanced Projects Lab *4 Students Per Lab Design and engineer a custom pulley system. Key Terms Simple Machine: A device that transmits or modifies force or motion. Force: A push or a pull. Pulley: A simple machine consisting of a wheel with a grooved rim in which a pulled cable can change the direction of the pull an thereby lift a load. Work: Using a force to move an object a distance. Mechanical Advantage: The amount a machine multiplies force. Load: The object or weight being moved or lifted. Effort: A force applied to a machine to do work. 1 Building Basics Rokenbok Building Basics The following tips will be helpful when using the Rokenbok Student Design & Engineering System. Connecting/Separating ROK Blocks: ROK Blocks use a friction-fit, pyramid and opening system to connect. Simply press pyramids into openings to connect. To separate blocks, pull apart. Connecting/Separating Rokenbok Components: Smaller Rokenbok components use a tab and opening system to connect. Angle one tab into the opening and snap into place. To separate, insert key into the engineered slot and twist. Snapping Across Openings: The tabs on Rokenbok components can also be snapped across openings to provide structural support to a design. This will also allow certain designs to function correctly. Attaching String: In some instances, string may be needed in a design. Lay string across opening. Snap any Rokenbok component with tabs or pyramids into opening. Make sure tabs run perpendicular to string for a tight hold. Measuring: 2cm 3 Openings 9 Openings The outside dimensions of each Rokenbok connector block are 2cm3. This cubic notation (cm3) means the length, depth, and height are each 2cm. To determine the size of a Rokenbok build in cm, simply count the number of openings and multiply by two. Repeat this process for length, depth and height. 2cm 18cm 2cm 2 6cm Learn Wheel The Pulley A pulley is a simple machine that consists of a wheel and axle with a groove cut into the edge of the wheel to accept a cable. The pulley allows the cable to be attached to a load and transfers the downward pull of the cable to raise the load. Purposes Cable Axle Example 1 - Single Fixed Pulley Pulleys can be used to redirect motion or to reduce the amount of effort needed to raise a load by creating mechanical advantage. Redirecting Motion Fixed Pulley Effort In a single fixed pulley system (example 1), the amount of effort needed to raise the load must be more than the load itself. For example, if the load was 100lbs, a force greater than 100lbs would be needed to raise the load. A single fixed pulley system is only used to redirect motion. If a user pulls down on one end of the cable (Effort), the other end (Load) will raise up an equal distance in the opposite direction. Example 2 - Movable Pulley Fixed Pulley Creating Mechanical Advantage Pulleys are used to reduce the amount of effort needed to raise a load by creating mechanical advantage. To create mechanical advantage in a pulley system, a movable pulley must be attached directly to the Load (example 2). A movable pulley system trades increased distance for reduced Effort. Effort Pulleys are used in many different ways to make work easier. Here are some real world examples. Water Well Flag Pole Crane Truck 3 Moveable Pulley Load Real World Applications Block & Tackle Load Belt Pulleys Build & Modify Instructions Follow the step-by-step instructions to build a pulley system. 1 2 4x Block 2x Beam 3x Half Beam 2x Riser 3 1x Block 3x Beam 1x Half Beam 3x 60° Block 3x 30° Block 3x Beam 4 2x Half Beam 3x Single Snap Block Build & Modify Instructions Follow the step-by-step instructions to build a pulley system. 4 3x Block 5 4x Half Beam 2x Riser 2x 60° Block 6x Single Snap Block 1x String Block 6 5 5x Pulley Build & Modify Instructions Follow the step-by-step instructions to build a pulley system. 7 8 5 Blocks Separating Markers Top Markers: Upside-Down 10 Blocks Separating Markers Cut a piece of string that is 40cm long. Feed each end of the string through the single snap blocks as shown. Lay string on top of the red connector blocks and snap into place. Once connected, place string of weights over fixed pulleys. Middle/Bottom Markers: Right-Side Up 4x Trailer Hitch 2x Block 9 2x Snap-In Wheel 2x Single Snap Block String Block Assemble two weights using the listed components. Cut a piece of string that is 50cm long. Tie a knot in one end of the string and place knot in string block to secure into place. Feed other end of the string through the fixed pulleys and movable pulley (weight 2) as shown. Connect string to weight 1 to secure in place. Top Markers Weight 2 Note: Adjust string if necessary so that when weight 1 is resting on frame, top of weight 2 is even with top markers. 2x Block Weight 1 2x Snap-In Wheel 1x Pulley 6 1x Single Snap Block Build & Modify Testing Pulley System Follow the instructions below to test both sides of the Rokenbok Pulley Model. Fixed Pulley (Redirecting Motion) Fixed Pulley Fixed Pulley Turn the pulley system so that you can test the fixed pulley system. Observe how the weights balance each other out. Pull down on Weight 1 (Effort) and observe how Weight 2 (Load) moves an equal distance in the opposite direction. Weight 1 Effort Fixed Pulley System Fixed Pulley Weight 2 Load Fixed Pulley Effort Load Movable Pulley (Mechanical Advantage) Turn the pulley system around to the side with the movable pulley. Lift Weight 1 (Effort) until the top is even with the top markers. At this point, Weight 2 (Load) should be even with the middle marker. Let go of Weight 1 (Effort) and observe how it is able to raise Weight 2 (Load) to the top markers. Top Markers Movable Pulley System Fixed Pulley Middle Marker Fixed Pulleys Moveable Pulley Weight 2 Load Weight 1 Effort Effort Low Marker Load 7 Build & Modify Understanding Mechanical Advantage Fixed Pulley System The main purpose of a simple machine is to make work easier. This means either redirecting motion or creating mechanical advantage. Mechanical advantage exists when the output force of a machine is greater than the input force that was applied to it. To accomplish this, the machine must trade increased time or distance for reduced effort. Weight 1 Effort Weight 2 Load Calculating Mechanical Advantage Calculating the mechanical advantage in a pulley system can be done by dividing the distance the effort travels by the distance the load travels. If the pulley system has a movable pulley, the number of strings connected to the movable pulley can also be used to determine the mechanical advantage. Distance Formula Mechanical Advantage = Distance effort travels Distance load travels Movable Pulley Systems # of strings connected to movable pulley = Movable Pulley System Mechanical Advantage Fixed Pulley System In the fixed pulley system, if Weight 1 (Effort) is pulled down, then weight 2 will raise and equal amount in the opposite direction. Divide 8/8 and this will give a mechanical advantage of 1:1. This means that for every unit of measurement the effort travels, the load will travel an equal unit of measurement in the opposite direction. This demonstrates how there is no mechanical advantage in a fixed pulley system. In order to raise one of the weights, extra effort or mass would be needed to overcome the mass of the load. Weight 2 10 cm Load Weight 1 10 cmWeight 1 Effort (Effort) Weight 2 (Load) Movable Pulley System In the movable pulley system, Weight 1 (Effort) travels a distance of 10 blocks (20 cm). Weight 2 (Load) travels a distance of 5 blocks (10 cm). Divide 20/10 and this will give a mechanical advantage of 2:1. This means that for every two units of measurement the effort travels, the load will travel one unit of measurement in the opposite direction. There are two strings connected to the movable pulley in this example, which also confirms that this pulley system has a mechanical advantage of 2:1. This pulley system is able to output a greater force than the input force that was applied to it. Modify: Pulley System Now that you have built a pulley system that has a mechanical advantage of 2:1, slightly modify the system to increase the mechanical advantage to 3:1. 8 Effort - 20cm Load - 10cm =2 2 of strings connected to = movable pulley 2 Design & Engineer Design & Engineering Challenge: Pulley System In this challenge, each team must design and engineer a custom pulley system. Read carefully through the design brief below, then use the Design & Engineering Process to develop a solution to the challenge. Design Brief: Scenario Go-Cart Assembly You have just inherited a motorized go-cart from your uncle. It is in good shape, but needs an oil change before you can ride it. The drain plug for the oil is underneath the go-cart frame so it is difficult to change the oil while it is on the ground. Design & Engineering Challenge Your design challenge is to design and engineer a pulley system that can raise and lower a go-cart so routine maintenance can be done on it. 1x Block 4x Snap-In Wheel 1x Corbel 1x Single Snap Block 1x Riser Specifications & Sub-Challenges 1. Teams can work in groups of up to four to complete this challenge. 2. Teams must work through each step of the Rokenbok Design & Engineering process to design, prototype, and refine a custom pulley system. Teams will be responsible for written documentation in the student engineering workbook. 3. Sub-Challenge: The pulley system must raise the go-cart at least 18cm off of the ground. 4. Sub Challenge: The pulley system must be able to carefully lower the go-cart back to ground level. 5. Sub-Challenge: The pulley system must feature a safety locking pin to keep the rope or cable in place while being worked on. 6. The pulley system must be aesthetically appealing. 7. Sub-Challenge: The pulley system must create mechanical advantage. 8. With each building component costing $2, the pulley system must cost less than $120. (The components in the go-cart do not count towards the budget of $120). 9. Each team will be required to effectively explain all aspects of brainstorming, prototyping, testing and improving the custom pulley system. Teams will also be responsible for explaining how the pulley system works and creates mechanical advantage. Design & Engineering Process To develop a high quality design, teams will work through each step of the design & engineering process. Teams should track all progress in the student engineering workbook. Design and Engineering Process 9 Student Engineering Workbook Design & Engineer Challenge Evaluation When teams have completed the design & engineering challenge, it should be presented to the teacher and classmates for evaluation. Teams will be graded on the following criteria: Specifications: Does the design meet all specifications as stated in the design brief? Performance: How well does the design work? Does it function consistently? Team Collaboration: How well did the team work together? Can each student descibe how they contributed? Design Quality/Aesthetics: Is the design of high quality? Is it structurally strong, attractive, and well proportioned? Material Cost: What was the total cost of the design? Was the team able to stay on or under budget? Presentation: How well did the team communicate all aspects of the design to others? Grading Rubric Advanced 5 Points Proficient 4 Points Partially Proficient 3 Points Specifications Meets all specifications Meets most specifications Meets some specifications Does not meet specifications Performance Design performs consistently well Design performs well often Design is partially functional Design does not work Team Collaboration Every member of team contributed Most members of team contributed Some members of team contributed Team did not work together Design Quality/ Aesthetics Great design/ aesthetics Good design/ aesthetics Average design/ aesthetics Poor design/ aesthetics Material Cost On Budget ($120 or Less) Slightly Over Budget ($120-130) Over Budget ($130-140) Significantly Over Budget ($141+) Great presentation/ well explained Good presentation/ well explained Poor presentation/ explanation No presentation/ explanation Presentation Not Proficient 0 Points Points /30 Total Points 55-01191-200 10
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