Kinetics of Particles ImpulseMomentum Lesson 8 Sections 38

• Linear Impulse - Linear Momentum Recall: Then: © D. J. Morrison, 2013

Define: VECTOR! Then: Linear Impulse = Change of Linear Momentum © D. J. Morrison,

Rearranging: Scalar Components: Conservation of Linear Momentum: © D. J. Morrison, 2013 4

Example Problem: L 8 -1 (3/176) Meriam and Kraige, 6 th, Wiley Meriam and

Example Problem: L 8 -1 (3/176) Meriam and Kraige, 7 th, Wiley Given: FAS,

Example Problem: L 8 -2 Meriam and Kraige, 6 th, Wiley © D. J.

Example Problem: L 8 -2 Meriam and Kraige, 6 th, Wiley Given: FAS, For

• Angular Impulse - Angular Momentum – Angular Momentum: H 0 • The

y O x Fig 3 -14 Meriam and Kraige, 7 th, Wiley For plane

For the general case: Where: Fig 3 -15 Meriam and Kraige, 7 th, Wiley

Define Angular Impulse: It can be shown: Rearranging: Conservation of Angular Momentum: © D.

Example Problem: L 8 -3 Meriam and Kraige, 6 th, Wiley © D. J.

Example Problem: L 8 -3 Given: FAS, m = 3 kg Find: G, HO,

Example Problem: L 8 -4 Meriam and Kraige, 6 th, Wiley © D. J.

Example Problem: L 8 -4 Given: FAS, m = 0. 2 kg, 1 =

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Kinetics of Particles Impulse/Momentum Lesson 8 Sections 3/8 -3/10 • In some situations, the forces are described as acting over an interval of time. Impulse/Momentum methods work well in these cases. © D. J. Morrison, 2013 1

• Linear Impulse - Linear Momentum Recall: Then: © D. J. Morrison, 2013 2

Define: VECTOR! Then: Linear Impulse = Change of Linear Momentum © D. J. Morrison, 2013 3

Rearranging: Scalar Components: Conservation of Linear Momentum: © D. J. Morrison, 2013 4

Example Problem: L 8 -1 (3/176) Meriam and Kraige, 6 th, Wiley Meriam and Kraige, 7 th, Wiley © D. J. Morrison, 2013 5

Example Problem: L 8 -1 (3/176) Meriam and Kraige, 7 th, Wiley Given: FAS, For projectile: M=75 g, v 1 = 600 m/s For block: M=50 kg, v 1 = 0 Find: E during impact © D. J. Morrison, 2013 6

Example Problem: L 8 -2 Meriam and Kraige, 6 th, Wiley © D. J. Morrison, 2013 7

Example Problem: L 8 -2 Meriam and Kraige, 6 th, Wiley Given: FAS, For tanker: M=10. 43 x 106 slugs, v 1=0, Cable tension = 50, 000 lb Find: Time required to bring speed of tanker to 1 knot © D. J. Morrison, 2013 8

• Angular Impulse - Angular Momentum – Angular Momentum: H 0 • The moment of the linear momentum about a point Fig 3 -14 Meriam and Kraige, 7 th, Wiley O © D. J. Morrison, 2013 9

Example Problem: L 8 -4 Meriam and Kraige, 6 th, Wiley © D. J. Morrison, 2013 15

Example Problem: L 8 -4 Given: FAS, m = 0. 2 kg, 1 = 4 rad/s, b 1 = 0. 3 m, b 2 = 0. 2 m Find: 1, U’ 1 2 Meriam and Kraige, 6 th, Wiley © D. J. Morrison, 2013 16