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2/3/14 DYNAMICS DESIGN PROBLEM Select a slide material and a spring shock absorber for the situation shown. Blocks of material with a mass of 2 slugs (weight = 64.4 pounds) will be handled by the system. The blocks of material will approach the horizontal 2 foot long horizontal slide section with a velocity of 5.20 feet per second. They will then slide down the inclined ramped slide section (8 feet of run, 6 feet of drop) and exit via the horizontal 5 foot slide section. Two feet past the slide they will contact a spring shock absorber that will bring them to a stop, an armature will then immediately sweep them into a collection area. The spring can have an allowable compression of 3 feet maximum. The floor beyond the slide and below the spring shock absorber is perfectly smooth. The rebound of the spring will have no effect on the blocks. Select one slide material (that will cover the entire slide) and a shock absorber from the catalogue shown below. The situation is drawn to scale. One small square equals 1 foot. Use the level of the exit slide as your "datum". Show your FBDs and calculations. Ignore the dimensions of the blocks, assume they are particles. PARTS CATALOGUE (All costs are in US dollars) Slide Material μ (kinetic) Cost per foot 0.1 0.2 200 270 Shock Absorber Spring Constant 50 lb/ft 100 lb/ft 150 lb/ft Cost 1600 2400 3200 Suggested steps: 1. Set up a table showing the energy level of the blocks at the critical points in the system. Think carefully about where you need to find the energy of the blocks to solve this problem. Look at part 3 on the back before you decide this. Leave u and k as variables in your table. 2. Fill in the table for each of the possible combinations. 3. Using the results of your table, determine which of the combinations will work 4. Determine the cost of each of the combinations that work. Choose the cheapist one.

2/3/14 DYNAMICS DESIGN PROBLEM Select a slide material and a spring shock absorber for the situation shown. Blocks of material with a mass of 2 slugs (weight = 64.4 pounds) will be handled by the system. The blocks of material will approach the horizontal 2 foot long horizontal slide section with a velocity of 5.20 feet per second. They will then slide down the inclined ramped slide section (8 feet of run, 6 feet of drop) and exit via the horizontal 5 foot slide section. Two feet past the slide they will contact a spring shock absorber that will bring them to a stop, an armature will then immediately sweep them into a collection area. The spring can have an allowable compression of 3 feet maximum. The floor beyond the slide and below the spring shock absorber is perfectly smooth. The rebound of the spring will have no effect on the blocks. Select one slide material (that will cover the entire slide) and a shock absorber from the catalogue shown below. The situation is drawn to scale. One small square equals 1 foot. Use the level of the exit slide as your "datum". Show your FBDs and calculations. Ignore the dimensions of the blocks, assume they are particles. PARTS CATALOGUE (All costs are in US dollars) Slide Material μ (kinetic) Cost per foot 0.1 0.2 200 270 Shock Absorber Spring Constant 50 lb/ft 100 lb/ft 150 lb/ft Cost 1600 2400 3200 Suggested steps: 1. Set up a table showing the energy level of the blocks at the critical points in the system. Think carefully about where you need to find the energy of the blocks to solve this problem. Look at part 3 on the back before you decide this. Leave u and k as variables in your table. 2. Fill in the table for each of the possible combinations. 3. Using the results of your table, determine which of the combinations will work 4. Determine the cost of each of the combinations that work. Choose the cheapist one.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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YOUR CHOICE Your Name 2/3/14 DYNAMICS DESIGN PROBLEM Select a slide material and a spring shock absorber for the situation shown. Blocks of material with a mass of 2 slugs (weight = 64.4 pounds) will be handled by the system. The blocks of material will approach the horizontal 2 foot long horizontal slide section with a velocity of 5.20 feet per second. They will then slide down the inclined ramped slide section (8 feet of run, 6 feet of drop) and exit via the horizontal 5 foot slide section. Two feet past the slide they will contact a spring shock absorber that will bring them to a stop, an armature will then immediately sweep them into a collection area. The spring can have an allowable compression of 3 feet maximum. The floor beyond the slide and below the spring shock absorber is perfectly smooth. The rebound of the spring will have no effect on the blocks. Select one slide material (that will cover the entire slide) and a shock absorber from the catalogue shown below. The situation is drawn to scale. One small square equals 1 foot. Use the level of the exit slide as your "datum". Show your FBDs and calculations. Ignore the dimensions of the blocks, assume they are particles. 0.1 0.2 PARTS CATALOGUE (All costs are in US dollars) Slide Material μ (kinetic) Cost per foot м 200 270 Team Members Names. 6² SLIDE 2 Suggested steps: 1. Set up a table showing the energy level of the blocks at the critical points in the system. Think carefully about where you need to find the energy of the blocks to solve this problem. Look at part 3 on the back before you decide this. Leave u and k as variables in your table. 2. Fill in the table for each of the possible combinations. 3. Using the results of your table, determine which of the combinations will work 4. Determine the cost of each of the combinations that work. Choose the cheapist one. 113.44 - Worh = 12 k8 ² Yo = 5.20/5 K I' 8 Shock Absorber Spring Constant 50 lb/ft 100 lb/ft 150 lb/ft COST RAMPED SLIDE A SLIDE $' Cost wwwww FLOOR 4=0| 1600 2400 3200 2 B (h) DROP FOR BOX OVER → ATTACH A COPY OF YOUR SPREADSHEET MATLAB PRINTOUT
Transcribed Image Text:YOUR CHOICE Your Name 2/3/14 DYNAMICS DESIGN PROBLEM Select a slide material and a spring shock absorber for the situation shown. Blocks of material with a mass of 2 slugs (weight = 64.4 pounds) will be handled by the system. The blocks of material will approach the horizontal 2 foot long horizontal slide section with a velocity of 5.20 feet per second. They will then slide down the inclined ramped slide section (8 feet of run, 6 feet of drop) and exit via the horizontal 5 foot slide section. Two feet past the slide they will contact a spring shock absorber that will bring them to a stop, an armature will then immediately sweep them into a collection area. The spring can have an allowable compression of 3 feet maximum. The floor beyond the slide and below the spring shock absorber is perfectly smooth. The rebound of the spring will have no effect on the blocks. Select one slide material (that will cover the entire slide) and a shock absorber from the catalogue shown below. The situation is drawn to scale. One small square equals 1 foot. Use the level of the exit slide as your "datum". Show your FBDs and calculations. Ignore the dimensions of the blocks, assume they are particles. 0.1 0.2 PARTS CATALOGUE (All costs are in US dollars) Slide Material μ (kinetic) Cost per foot м 200 270 Team Members Names. 6² SLIDE 2 Suggested steps: 1. Set up a table showing the energy level of the blocks at the critical points in the system. Think carefully about where you need to find the energy of the blocks to solve this problem. Look at part 3 on the back before you decide this. Leave u and k as variables in your table. 2. Fill in the table for each of the possible combinations. 3. Using the results of your table, determine which of the combinations will work 4. Determine the cost of each of the combinations that work. Choose the cheapist one. 113.44 - Worh = 12 k8 ² Yo = 5.20/5 K I' 8 Shock Absorber Spring Constant 50 lb/ft 100 lb/ft 150 lb/ft COST RAMPED SLIDE A SLIDE $' Cost wwwww FLOOR 4=0| 1600 2400 3200 2 B (h) DROP FOR BOX OVER → ATTACH A COPY OF YOUR SPREADSHEET MATLAB PRINTOUT
Part 2 Set up a spreadsheet solution to this problem. This will require that you derive one formula to express the relationship between the friction coefficient, the spring constant, and the spring compression; and a second formula to find the cost of using different slide and spring types. Set up your spreadsheet as shown below. You can fill in the "Acceptable?" column manually, rather than using a formula. Turn in a copy of your spreadsheet/Matlab work (solve for $) Friction Spring Constant Spring Compression M k 0.1 0.1 0.1 0.2 0.2 0.2 50 100 150 50 100 150 4 Part 3 Your boss has decided to look at a second option. The spring mechanism will be replaced by a drop box. After leaving the slide, the blocks will travel 5 horizontal feet through the air and pass through a hole into the drop box. Using the slide you selected above, determine how far below the slide (h) to place the hole in the drop box. Yo = 5.2017/5 BLADE 2 RAMPE SLIDE 8⁰ SLIDE Acceptable? (Yes or No) $' Cost 51 In DROP BOX
Transcribed Image Text:Part 2 Set up a spreadsheet solution to this problem. This will require that you derive one formula to express the relationship between the friction coefficient, the spring constant, and the spring compression; and a second formula to find the cost of using different slide and spring types. Set up your spreadsheet as shown below. You can fill in the "Acceptable?" column manually, rather than using a formula. Turn in a copy of your spreadsheet/Matlab work (solve for $) Friction Spring Constant Spring Compression M k 0.1 0.1 0.1 0.2 0.2 0.2 50 100 150 50 100 150 4 Part 3 Your boss has decided to look at a second option. The spring mechanism will be replaced by a drop box. After leaving the slide, the blocks will travel 5 horizontal feet through the air and pass through a hole into the drop box. Using the slide you selected above, determine how far below the slide (h) to place the hole in the drop box. Yo = 5.2017/5 BLADE 2 RAMPE SLIDE 8⁰ SLIDE Acceptable? (Yes or No) $' Cost 51 In DROP BOX
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