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REminders

REminders. Tuesday is the second half of your exam . If the first 1/3 of the exam was hard for you, this is your chance to bring up your grade! Be sure to practice your problem solving this weekend! Ask me all your questions before the weekend!. Vectors. Friday, May 9 th.

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REminders

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  1. REminders • Tuesday is the second half of your exam. If the first 1/3 of the exam was hard for you, this is your chance to bring up your grade! Be sure to practice your problem solving this weekend! • Ask me all your questions before the weekend!

  2. Vectors Friday, May 9th

  3. Adding and subtracting vectors d2 What diagram shows d1 + d2? d1 C) A) B) D)

  4. Adding and subtracting vectors d2 What diagram shows d1 + d2? d1 C) A) B) D)

  5. Adding and subtracting vectors d2 What diagram shows d1 – d2? d1 C) A) B) D)

  6. Adding and subtracting vectors d2 What diagram shows d1 – d2? d1 C) A) B) D)

  7. Multiplying a vector by a scalar • If v1 = 3m/s [30o up from the horizontal] what is 2v1? v1 = 3m/s 30o

  8. Multiplying a vector by a scalar • If v1 = 3m [30o up from the horizontal] what is 2v1? 2v1 = 6m v1 = 3m 30o 30o

  9. Practice in your teams • Choose a set of tape vectors in the classroom. Start at the star. • Using the +y and +x directions given, find dx and dy components for every vector between the star and the smile. • Add up your components to calculate your final displacement vector • Compare this to the actual displacement vector.

  10. Teams • Yiren • Kay • Jon • Jerry • Sandy • Jono • Ian • Leo • Andrew • Lorin • Annie • Eden • Alyson • Leanne • Peter

  11. Vector Treasure hunt!

  12. Vector Treasure hunt! • Create readable step-by-step instructions using vectors v1,v2, v3, and v4, or any scalar combination of these vectorsto your hidden treasure. • You may choose the start and ending positions. • You have 30 minutes to create your instructions. Then you will swap with another team to find their treasure.

  13. Vector Treasure hunt! North East

  14. Teams • Yiren • Kay • Jon • Jerry • Jono • Ian • Leo • Andrew • Annie • Eden • Alyson • Leanne • Peter • Lorin • Sandy

  15. homework • Page 349 #1, 4 – 7

  16. Applications of vectors 1. Free-body diagrams!

  17. Free body diagrams • A free body diagram (FBD) is a picture of all the external forces acting on an object. • Not internal forces • Not forces that the object exerts on its surroundings

  18. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N.

  19. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. Normal force Gravity

  20. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. Normal force Gravity = 2000N

  21. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. Normal force has to balance out gravity. Gravity = 2000N

  22. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. If the normal force is > gravity Gravity = 2000N

  23. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. If the normal force < gravity Gravity = 2000N

  24. Draw the Free body diagram? A car drives at constant speed of 110km/h on the 401 outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N. Normal force = 2000N up Gravity = 2000N down

  25. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s

  26. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up There is a force that must be pulling the car forward… what is it? Gravity = 2000N down

  27. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the engine? Gravity = 2000N down

  28. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the engine? No, because the force that the engine exerts on the axel is an internal force Gravity = 2000N down

  29. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the force the axel exerts on the wheels? Gravity = 2000N down

  30. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the force the axel exerts on the wheels? Nope. That’s also internal. Gravity = 2000N down

  31. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the force the axel exerts on the wheels? Nope. That’s also internal. Gravity = 2000N down

  32. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the force the wheels exert on the road? Gravity = 2000N down

  33. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Is it the force the wheels exert on the road? Nope. That would show up in an FBD of the road. Gravity = 2000N down

  34. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up It’s the force the road exerts on the wheels, which is… Gravity = 2000N down

  35. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up It’s the force the road exerts on the wheels, which is static friction! Gravity = 2000N down

  36. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Static friction = the only force that isn’t cancelled out Gravity = 2000N down

  37. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Static friction = ΣF Gravity = 2000N down

  38. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s Normal force = 2000N up Static friction = ΣF = ma Gravity = 2000N down

  39. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s2 Normal force = 2000N up Static friction = ΣF = (204kg)(2m/s2) = 408N Gravity = 2000N down

  40. Draw the Free body diagram? A car accelerates on the 401 onramp outside Chatham (this is flat). Draw the FBD for the car if the car weighs 2000N (mass of 204kg) and is accelerating forward at 2m/s2 Normal force = 2000N up Static friction = 408N Gravity = 2000N down

  41. Draw the Free body diagram? A car drives up a 30o incline at a constant 60km/h. Draw all the forces acting on the car.

  42. Draw the Free body diagram? A car drives up a 30o incline at a constant 60km/h. Draw all the forces acting on the car. Normal force Friction force Gravity = 2000N down

  43. Draw the Free body diagram? A car drives up a 30o incline at a constant 60km/h. Draw all the forces acting on the car. If the car’s weight is 2000N, what is the normal force? What is the friction force? Normal force Friction force Gravity = 2000N down

  44. Is it in the Free body diagram? Sandy leans her head on Leanne’s shoulder to rest while both are seated. In a FBD of Sandy, you would expect to see: • A downward arrow indicating Sandy’s weight • A downward arrow indicating the force Sandy’s head exerts on Leanne’s shoulder • An upward arrow indicating the force of Sandy’s chair on her • An upward arrow indicating the force of Leanne’s shoulder on Sandy’s head.

  45. Is it in the Free body diagram? Sandy leans her head on Leanne’s shoulder to rest while both are seated. In a FBD of Sandy, you would expect to see: • A downward arrow indicating Sandy’s weight • A downward arrow indicating the force Sandy’s head exerts on Leanne’s shoulder • An upward arrow indicating the force of Sandy’s chair on her • An upward arrow indicating the force of Leanne’s shoulder on Sandy’s head.

  46. In your teams • Get a whiteboard, and draw the FBD for each scenario.

  47. Draw the Free Body Diagram • A student stands on a chair. The FBD is…

  48. Draw the Free Body Diagram • A student jumps off his/her chair. While he/she is in the air, the FBD would be…

  49. Draw the Free Body Diagram • The student hits the ground. While the ground is slowing the student down from their fall, the FBD would be…

  50. Draw the Free Body Diagram • A track student accelerates in the 100m dash on level ground.

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