Where are pulleys used? Transport over difficult terrain.

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Where are pulleys used? Transport over difficult terrain

Problem: We want to lift a 20 kg bucket of water. Bucket Lift Too Heavy! Weight (N) = mass (kg) x gravity (m/s 2 ) Bucket weight = 20kg x 10m/s 2 = 200 N Weight = 200N Force to lift bucket = 200N

Simple Pulley: 200N Force In – person pulls rope Force Out – force to lift bucket upwards Force In Rope – force is constant along length Force In = Force Out Pulley video 1

Simple Pulley: 200N 100N Force In – person pulls rope Force Out – force to lift bucket upwards Force In Rope – force is constant along length at 100N Force Out is more than Force In! Total force to lift bucket upwards 200N Weight of bucket Force in each end of rope needed to lift bucket 100N

200N 200N Force In – person pulls rope Force Out – force to lift bucket upwards Force OutForce InMechanical Advantage 200 N =1

200N 100N Force In – person pulls rope Force Out – force to lift bucket upwards Force OutForce InMechanical Advantage 200 N100 N = 2

Number of movable pulleys Mechanical Advantage 2 200N 50N Force In – force in rope Weight Static Pulleys Movable Pulleys 2 4 2

= ÷ 200N 50N Force In – force in rope Force Out – force to lift bucket upwards Force In Mechanical Advantage Force Out = ÷ 50 N N 4 ropes Force In Rope = 200 ÷ 4 Weight Total Force to lift bucket upwards 50N 50N 50N 50N 200N

= x Force In Force Out Mechanical Advantage 200N 50N Force In – pull on rope Force Out – force to lift bucket Static Pulleys 2 Movable Pulleys 50N 200N 4

मी एका कार कंपनीचा मालक आहे मला चोरापासून संरक्षण होण्यासाठी एक मोठ गेट बनवावं लागणार आहे गेट १००० KG चे आहे त्यामुळे ते बाहेरून उघडता येणार नाही. मला माझे कामगार ते आतून उघडू शकतील असं काहीतरी करायचं आहे मी हे काम स्वस्तात करू इच्छितो Extra points for creativity and good presentation! लक्षात ठेवा तुम्हीही एक स्पर्धक आहात !

Mechanical Advantage = Force Out (N) ÷ Force In (N) Cost per itemMass per item Pulley1000 rupees10 kg Multi- Pulley 2000 rupees20 kg Cost per metre Rope50 rupees Cost of electric winchPulling force of winch Winch6000 rupees2000 N Mass of Door Door1000 kg वजन (N) = वस्तुमान (kg) x गुरुत्वाकर्ष Mechanical Advantage = 2 x number of movable pulleys

काही कल्पना !

4 व्यक्तींचा एक संघ team leader ठरवा 10 mins कल्पनेविषयी चर्चा करा 20 mins load च गणित करा 30 mins design work – दरवाज्याची रचना, पुलीची रचना, तुमच्या रचनेत जागेचा नीट वापर होतोय ? 20 mins working on business pitch – मी तुमची रचना का निवडू ? ते नीट काम करेल का ( गणित पडताळून पहा ), तुमची रचना चांगली का आहे, व्यवसाय कसा. कराल ? लोडच्या गणितास गुण असतील पण ते योग्य असावीत, नाविन्य, कल्पक व्यावसायिकतेचा विचार, उत्तम मांडणी. जिंकणाऱ्या संघाला आकर्षक बक्षीस !!!

कमीत किंमत ठेवा – more pulleys or more winches? Force शोधा Mechanical Advantage शोधा Pulleys किती लागतील ? किंमत अजून कमी कशी करता येईल ? Ideas!!! दरवाजा आणि त्याची संरचना कशी असायला हवी आणि त्याचा वापर कसा करता येईल ? तुमच्याच व्यवसायाचा आराखडा मी का निवडावा ?