Lesson_3.4_Homework_Solution

Lesson_3.4_Homework_Solution - Lesson 13 Homework Solutions...

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Lesson 13 Homework Solutions 1. 0 1 2 3 2 kg 2 kg -1 4 -2 -3 5 kg Find the center of mass of the system shown ion the figure above. 11 2 2 33 123 2( 2) 5(1) 2(4) 9 1 252 9 cm mx x mmm ++ + + === = + + y cm = 0 The center of mass is the point (1, 0) 2. 1 2 3 4 1 2 3 4 kg 3 kg 3 kg -1 -2 4 2 kg Find the center of mass of the system shown in the figure above. 22 44 1234 3( 2) 4(0) 3(1) 2(4) 5 53 1 3432 1 2 3(2) 4(4) 2( , 12 3) 31 1 2 12 cm cm x mmmm my m c y y m +++ + + + == = + + + + + + = ⎛⎞ = ⎜⎟ + +
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3. A 1000-kg car moves to the right with a velocity of 25 ms -1 and a 1200 kg car moves to the left with a velocity of 22 ms -1 . Find the velocity of their center of mass. 1 12 1 2 1 0 0 02 51 2 0 2 220 0. 0 6 cm mv v m m s m × == = + 4. A 2.0-kg mass has a velocity 2 ms -1 i – 4 m.s -1 j and a 5.0-kg mass has a velocity 5 ms -1 i + 2 ms -1 j . Find the velocity of their center of mass. 2(2) 5(5) 29 25 7 2( 4) 5(2) 2 2 2 77 5 29 7 xcm ym cm c vi j v v + + −+ + =+ 5. A 2.0-kg block is moving to the right at 8 ms -1 and a 3.0-kg block is moving to the left at 5 ms -1 .
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This note was uploaded on 05/01/2011 for the course PHY 2048 taught by Professor George during the Fall '10 term at Edison State College.

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Lesson_3.4_Homework_Solution - Lesson 13 Homework Solutions...

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