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Newtonian Mechanics

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Newtonian Mechanics

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    1. Review Newtonian Mechanics

    2. Center of Mass

    3. Kinematics

    4. Kinematics

    5. Free Fall

    6. Projectile Motion

    7. Dynamics

    8. Newtons 1st

    9. Newtons 2nd

    10. Newtons 3rd

    11. Free Body Diagrams

    12. Free-Body Diagrams Possible forces Gravity Normal Tension Friction Applied Electrostatic Electromagnetic Do Not Draw Centripetal Force Air Pressure

    13. Atwood Machine Look at each mass independently Choose your +/- directions Label ALL the forces acting on that object Solve for common pieces and substitute or set equal to one another

    14. Remember

    15. Friction

    16. Work, Energy, Power

    17. Work

    18. Work-Energy Theorem

    19. Work?

    20. Power

    21. Energy Kinetic Potential (Grav & Spring) Rotational Kinetic Electrical Chemical Nuclear

    22. KE and GPE

    23. P=mv Momentum

    24. Impulse-Momentum Theorem

    25. Conservation of Momentum Always Conserved initially!

    26. Elastic vs. Inelastic Kinetic Energy is conserved Kinetic Energy is not conserved

    27. Circular Motion

    29. Rotational Kinematics Rotational Dynamics

    30. Torque

    31. Gravitation

    33. Oscillations and SHM

    36. Period vs. Frequency

    37. Practice Questions

    38. Practice Problem 1 A shotputter throws the shot with an initial speed of 15.5 m/s at a 34.0 angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athletes hand at a height of 2.20 m above the ground. Giancoli p.67/#32Giancoli p.67/#32

    39. Practice Problem 2a Three blocks on a frictionless horizontal surface are in contact with each other, as shown below. A force F is applied to block 1 (mass m1). Determine the acceleration of the system (in terms of m1, m2, and m3). Giancoli p.101/#33Giancoli p.101/#33

    40. Practice Problem 2b Three blocks on a frictionless horizontal surface are in contact with each other, as shown below. A force F is applied to block 1 (mass m1). If m1 = m2 = m3 = 12.0 kg and F = 96.0 N, then determine the net force on each block. a = F/m = 96/36 = 2.67m/s^2 F1 = m1a1 = 12 (2.67) = 32 and since m1 = m2 = m3, then all are 32 N a = F/m = 96/36 = 2.67m/s^2 F1 = m1a1 = 12 (2.67) = 32 and since m1 = m2 = m3, then all are 32 N

    41. Practice Problem 2c Three blocks on a frictionless horizontal surface are in contact with each other, as shown below. A force F is applied to block 1 (mass m1). If m1 = m2 = m3 = 12.0 kg and F = 96.0 N, then determine the force of contact that each block exerts on its neighbor. F F21 = (m1+m2+m3)a F21 = m1a 36(2.67) F=12(2.67) F12 = F21 = 64N F23 = m3a = (12)(2.67) = F F21 = (m1+m2+m3)a F21 = m1a 36(2.67) F=12(2.67) F12 = F21 = 64N F23 = m3a = (12)(2.67) =

    42. Practice Problem 3 A window washer pulls herself upward using a bucket-pulley apparatus. How hard must she pull downward to raise herself slowly at a constant speed? The mass of the person plus the bucket is 65 kg. Giancoli, p.100/#29Giancoli, p.100/#29

    43. Practice Problem 4 A window washer pulls herself upward using a bucket-pulley apparatus. How hard must she pull downward to raise herself slowly at a constant speed? The mass of the person plus the bucket is 65 kg. If she increases this force by 15%, what will her acceleration be? Giancoli, p.100/#29Giancoli, p.100/#29

    44. Practice Problem 5a A 28.0-kg block is connected to an empty 1.35-kg bucket by a cord running over a frictionless pulley as shown in the picture. The coefficient of static friction between the table and the block is 0.450 and the coefficient of kinetic friction between the table and the block is .320. Sand is gradually added to the bucket until the system just begins to move. Calculate the mass of sand added to the bucket. Giancoli, p.104/#76 Giancoli, p.104/#76

    45. Practice Problem 5b A 28.0-kg block is connected to an empty 1.35-kg bucket by a cord running over a frictionless pulley as shown in the picture. The coefficient of static friction between the table and the block is 0.450 and the coefficient of kinetic friction between the table and the block is .320. Sand is gradually added to the bucket until the system just begins to move. Calculate the acceleration of the system. Giancoli, p.104/#76 Giancoli, p.104/#76

    46. Practice Problem 6 A 0.15 kg ball moving at 40 m/s is struck by a bat. The bat reverses the ball's direction and gives it a speed of 50 m/s. What average force does the bat apply to the ball if they are in contact for 6.0 x 10-3 s?

    47. Practice Problem 7 A flat puck (mass M) is rotated in a circle of radius R on a frictionless air-hockey tabletop, and is held in this orbit by a light cord connected to a dangling block (mass m) through a central hole as shown below. Derive an expression for the speed of the puck.

    48. Practice Problem 8a A ball attached to a string swings in a circle of radius 1.20 m at 28o angle with the vertical. The tension in the string is 1.80 N. What is the mass of the ball?

    49. Practice Problem 8b A ball attached to a string swings in a circle of radius 1.20 m at 28o angle with the vertical. The tension in the string is 1.80 N. How long does it take the ball to complete one orbit?

    50. Practice Problem 9 A uniform 1500-kg beam, 20.0 m long, supports a 15,000-kg printing press 5.0 m from the right support column. Calculate the force on each of the vertical support columns.

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