Newtons Third Law Visual Solution


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Chimpoo and McZee use basic principles of Physics to easily climb a rope. Must to read to understand laws of Physics. Please do not include these presentations without our prior permission.

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Newtons Third Law Visual Solution

  1. 1. Chimpoo and McZee I see what you two naughty monkeys are doing … So , climbing is fun for you right… copyrights ©
  2. 2. Now see what they have done… <ul><li>The McZee shown in the figure is holding the tail of Chimpoo who is climbing upwards the rope. The masses of Chimpoo and McZee are 5 kg and 2 kg respectively. If Chimpoo can tolerate the tension of 30 N, what force should it apply on the rope in order to carry the McZee with it. </li></ul>copyrights ©
  3. 3. <ul><li>And you McZee cant you climb on your own? </li></ul>copyrights ©
  4. 4. <ul><li>Suppose Chimpoo had to climb alone on the rope, what would he had done? </li></ul><ul><li>He would have pulled the rope downwards and the rope would have pulled him upwards …But now he has to support McZee , so he has to apply more force to carry him upwards to right? Now his tail can tolerate a maximum tension of 30 N and McZee weight is 20 N. So , it should not be difficult to carry him. </li></ul><ul><li>But how come when he pulls the rope upwards and McZee pulls his tail downwards both rope and tail tries to move monkey upwards? </li></ul><ul><li>Can you explain how? </li></ul><ul><li>Very simple….Any law that you guys can associate??? Come on guys… </li></ul>copyrights ©
  5. 5. <ul><li>Yes it was you My Man….You remember his third law….. </li></ul>copyrights ©
  6. 6. <ul><li>Yea that is </li></ul><ul><li>Every action has an equal and opposite Reaction </li></ul>copyrights ©
  7. 7. <ul><li>So yes our monkey applies an ACTION to the rope which in turns gives REACTION back to the monkey pulling it upwards. </li></ul><ul><li>Also remember Action and Reaction are equal and opposite forces. </li></ul><ul><li>Now do it for McZee applying action </li></ul><ul><li>And Chimpoo giving him the reaction </li></ul><ul><li>Come on pal.. </li></ul><ul><li>Make this pair yourself.. </li></ul>copyrights ©
  8. 8. Applying Newton’s Third Law now copyrights ©
  9. 9. So what are we waiting for now <ul><li>Free Body Diagrams </li></ul><ul><li>are here my friend…… </li></ul><ul><li>And you have seen the last slide yea? </li></ul><ul><li>So, does it sounds difficult now? </li></ul><ul><li>Also since both are acting as a system , imagine they both are moving upwards at an acceleration , a upwards </li></ul>copyrights ©
  10. 10. All right let me do it this time for you  Just balance the forces for it <ul><li>T- T 1 – m 1 g = m 1 a  F=T 1 </li></ul><ul><li>T 1 - m 2 g = m 2 a </li></ul><ul><li>Now , if we are acceleration , tension T 1 can go maximum upto 30N, putting it as 30 N, we get Tension T as 105 N. </li></ul><ul><li>But suppose , we don’t want them to accelerate, then T 1 = 20 N which Chimpoo can support . Solving through this we get T=70 N </li></ul><ul><li>So, T varies between 70 and 105 Newton. </li></ul>copyrights ©
  11. 11. Let us explain more telling you a story  Shall we…… So Chimpoo and McZee. What are they talking with each other? And can ropes talk? Lets find it out…… copyrights ©
  12. 12. copyrights © McZee hold on, let me ask the rope if rope can pull us both upwards. Chimpoo pull me upwards…. . Rope Chimpoo, I can pull you upwards and for that you would not have to apply much force as I need to support your weight but to give you the support , I need some input from you which is your Action ( Mr. Newton told me to do so…)
  13. 13. You don’t understand rope. If I just give you an action equal to my weight which is 50N, you would not be pulling me with a force which is required to pull both of us together. What is the minimum force you need to pull both of us together? Rope Well , I have to atleast support your weight right? Which is atleast total of your weights which is 50 + 20 = 70 N copyrights ©
  14. 14. Let me see how much McZee pulls me down because if he pulls me down with a force more than 30 N , I will die anyways. Don’t worry Chimpoo , my weight is 20N only and I am currently putting an action of 20 N only. So, your tail is not going to break out. . Thank God , So rope I can atleast hold McZee for another 10 N. Suppose McZee applies more force that is 30 N , how much I have to pull you down. Chimpoo that is a question which I will answer I think it would then allow me to move ahead as 20 N would go in supporting my weight and remaining 10 N would allow me to accelerate which is 10/ 2 = 5 m/s2. . copyrights ©
  15. 15. But you accelerate at 5 m/s2, I would also have to accelerate at the same rate right because if I don’t you would just move over me… SO tell me rope how much force I have to apply on you if we both accelerate at 5 m/s2. Rope Pretty easy Chimpoo, I would need 70N to atleast pull you guys together and if you want to accelerat at 5 m/s2, I would need to support you guys for this acceleration too . So an additional force 5 * ( 5+2) = 35 N is needed to support you. So a total of 70 + 35 = 105 N, Can you give me that Chimpoo copyrights ©
  16. 16. Ok . Rope we now have an option to give you a minimum of 70 N and we can go a maximum till 105 N , we would make sure while climbing , I pull you with a force in that range . Rope Thanks Chimpoo.. Happy Climbing ahead. copyrights ©