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Group Problem: You are planning to build a log cabin in Northern Minnesota on a remote hill with a beautiful view of the setting sun. You will drag the logs up a long sometimes rocky hill to the building site by means of a rope attached to a winch. You will need a rope for this job so you aim to know how much weight the rope would safely support. You are operating on a tight budget so matching the rope strength would be a cost saver. You know that the logs are heavy, and estimate the heaviest as 1,000 lbs. From maps you verify the hill is steeped at an angle of 0 = 70° with respect to the vertical, and you estimate a coefficient of kinetic friction between a log and the earthen hill as 0.5. When pulling a log you will ensure that the uphill acceleration is never more than 3.0 ft/s². The maximum recommended load is th of the nominal strength for the ropes considered as stated on the product labels, you have three ropes in mind: 12 kN, 18 kN, & 24 kN. Which one of these three rope strengths is best? SOLUTION: Using the step-wise strategy that we have practiced throughout this course, for forces that includes the drawing of Freebody and Force Diagrams, and an inventory of known quantities: max. log weight: W = 1,000 lbs, hill incline: 0= 20° (w.r.t. horizontal), coefficient of kinetic friction: μ = 0.5, and maximum acceleration for the log: amaz = 3 ft/s². Express the maximum log weight as a mass: mlog = kg. STEP A: Identify the forces on the Scenario, Freebody, and Force Diagrams below: LOG ROPE 10 = 20° HILL SCENARIO WINCH *** Fnet = mă →→→ FREEBODY STEP B: Apply Newton's 2nd Law independently in the horizontal and vertical directions to develop relation- ships for the forces en-route to the solution to the problem: Find the tension in the log-pulling rope. FORCE I: Fnet = maz y: Fnet = may

Group Problem: You are planning to build a log cabin in Northern Minnesota on a remote hill with a beautiful view of the setting sun. You will drag the logs up a long sometimes rocky hill to the building site by means of a rope attached to a winch. You will need a rope for this job so you aim to know how much weight the rope would safely support. You are operating on a tight budget so matching the rope strength would be a cost saver. You know that the logs are heavy, and estimate the heaviest as 1,000 lbs. From maps you verify the hill is steeped at an angle of 0 = 70° with respect to the vertical, and you estimate a coefficient of kinetic friction between a log and the earthen hill as 0.5. When pulling a log you will ensure that the uphill acceleration is never more than 3.0 ft/s². The maximum recommended load is th of the nominal strength for the ropes considered as stated on the product labels, you have three ropes in mind: 12 kN, 18 kN, & 24 kN. Which one of these three rope strengths is best? SOLUTION: Using the step-wise strategy that we have practiced throughout this course, for forces that includes the drawing of Freebody and Force Diagrams, and an inventory of known quantities: max. log weight: W = 1,000 lbs, hill incline: 0= 20° (w.r.t. horizontal), coefficient of kinetic friction: μ = 0.5, and maximum acceleration for the log: amaz = 3 ft/s². Express the maximum log weight as a mass: mlog = kg. STEP A: Identify the forces on the Scenario, Freebody, and Force Diagrams below: LOG ROPE 10 = 20° HILL SCENARIO WINCH *** Fnet = mă →→→ FREEBODY STEP B: Apply Newton's 2nd Law independently in the horizontal and vertical directions to develop relation- ships for the forces en-route to the solution to the problem: Find the tension in the log-pulling rope. FORCE I: Fnet = maz y: Fnet = may

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Group Problem: You are planning to build a log cabin in Northern Minnesota on a remote hill with a beautiful view of the setting sun. You will drag the logs up a long sometimes rocky hill to the building site by means of a rope attached to a winch. You will need a rope for this job so you aim to know how much weight the rope would safely support. You are operating on a tight budget so matching the rope strength would be a cost saver. You know that the logs are heavy, and estimate the heaviest as 1,000 lbs. From maps you verify the hill is steeped at an angle of = 70° with respect to the vertical, and you estimate a coefficient of kinetic friction between a log and the earthen hill as 0.5. When pulling a log you will ensure that the uphill acceleration is never more than 3.0 ft/s². The maximum recommended load is th of the nominal strength for the ropes considered as stated on the product labels, you have three ropes in mind: 12 kN, 18 kN, & 24 kN. Which one of these three rope strengths is best? SOLUTION: Using the step-wise strategy that we have practiced throughout this course, for forces that includes the drawing of Freebody and Force Diagrams, and an inventory of known quantities: max. log weight: W = 1,000 lbs, hill incline: 0= 20° (w.r.t. horizontal), coefficient of kinetic friction: μ = 0.5, and maximum acceleration for the log: amaz = 3 ft/s2. Express the maximum log weight as a mass: mlog = kg. STEP A: Identify the forces on the Scenario, Freebody, and Force Diagrams below: LOG ROPE 0 = 20° HILL SCENARIO WINCH FREEBODY Fnet = mã — + STEP B: Apply Newton's 2nd Law independently in the horizontal and vertical directions to develop relation- ships for the forces en-route to the solution to the problem: Find the tension in the log-pulling rope. = maz ; Sx: Fnet y: Fnet = may FORCE STEP C: Identify which of the three rope ratings you intend to purchase for this application.
Transcribed Image Text:Group Problem: You are planning to build a log cabin in Northern Minnesota on a remote hill with a beautiful view of the setting sun. You will drag the logs up a long sometimes rocky hill to the building site by means of a rope attached to a winch. You will need a rope for this job so you aim to know how much weight the rope would safely support. You are operating on a tight budget so matching the rope strength would be a cost saver. You know that the logs are heavy, and estimate the heaviest as 1,000 lbs. From maps you verify the hill is steeped at an angle of = 70° with respect to the vertical, and you estimate a coefficient of kinetic friction between a log and the earthen hill as 0.5. When pulling a log you will ensure that the uphill acceleration is never more than 3.0 ft/s². The maximum recommended load is th of the nominal strength for the ropes considered as stated on the product labels, you have three ropes in mind: 12 kN, 18 kN, & 24 kN. Which one of these three rope strengths is best? SOLUTION: Using the step-wise strategy that we have practiced throughout this course, for forces that includes the drawing of Freebody and Force Diagrams, and an inventory of known quantities: max. log weight: W = 1,000 lbs, hill incline: 0= 20° (w.r.t. horizontal), coefficient of kinetic friction: μ = 0.5, and maximum acceleration for the log: amaz = 3 ft/s2. Express the maximum log weight as a mass: mlog = kg. STEP A: Identify the forces on the Scenario, Freebody, and Force Diagrams below: LOG ROPE 0 = 20° HILL SCENARIO WINCH FREEBODY Fnet = mã — + STEP B: Apply Newton's 2nd Law independently in the horizontal and vertical directions to develop relation- ships for the forces en-route to the solution to the problem: Find the tension in the log-pulling rope. = maz ; Sx: Fnet y: Fnet = may FORCE STEP C: Identify which of the three rope ratings you intend to purchase for this application.
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