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Physics 2210 Lecture 10

Physics 2210 Lecture 10. Today ’ s Concept: Center of Mass Finding it Using it. Center of Mass. A) 0 0 B) 0 H /2 C) 0 H /3 D) H /4 H /4 E) H /4 0. ACT.

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Physics 2210 Lecture 10

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  1. Physics 2210Lecture 10 Today’s Concept: Center of Mass Finding it Using it

  2. Center of Mass

  3. A) 0 0 B) 0 H/2 C) 0 H/3 D) H/4 H/4 E) H/4 0 ACT Three tiny equal-mass magnets are placed on a horizontal frictionless surface at the corners of an equilateral triangle. When the magnets are released, they attract and quickly slide to a single point. What are the coordinates of that point? XCM YCM y H x

  4. Cube Example: Using Volume Mass Density

  5. Example A uniform stick of length L and mass M. x = L x = 0

  6. CheckPoint A yummy glazed doughnut is shown below. Where is the center of mass of this fantastic culinary delight? A) In the center of the hole. B) Anywhere along the blue dashed line going throughthe solid part of the dough. C) The center of mass is not defined in cases where there is missing mass.

  7. Center of Mass for System of Objects

  8. ACT The disk shown in Case1 clearly has its CM at the center. Suppose the disk is cut in half and the pieces arranged as shown in Case2 In which case is the center of mass highest? A) Case 1 B) Case 2 C) same x xCM Case1 Case2

  9. Kinematic Quantities If the total force is zero, the CM won’t accelerate

  10. CheckPoint Two objects, one having twice the mass of the other, are initially at rest. Two forces, one twice as big as the other, act on the objects in opposite directions as shown. 2F F M 2M Which of the following statements about the acceleration of the center of mass of the system is true: A) ACM= F/Mto the right B) ACM= F/(3M) to the right C) ACM= 0 D) ACM= F/(3M) to the left E) ACM= F/Mto the left

  11. ACT T M F = 2T M T Two pucks of equal mass, on a frictionless table, are being pulled at different points with equal forces. Which one gets to the end of the table first? A) Puck 1B) Puck 2 C) Same 1) 2)

  12. CheckPoint Two guys who weigh the same are holding onto a massless pole while standing on horizontal frictionless ice. If the guy on the left starts to pull on the pole, where do they meet? -3 m 0 m 3 m A) -3 m B) 0 m C) 3 m

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