Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box A, which has an initial speed, VA of 3 ft/s. After the impact between A and B, the friction causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are moving at the same speed as a single mass. a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: VA= 1.5 ft/s] b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is starting to speed up, but is slipping on boxes A & B.

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Chapter1: Units, Trigonometry. And Vectors
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1) Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box
A, which has an initial speed, VA, of 3 ft/s. After the impact between A and B, the friction
causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are
moving at the same speed as a single mass.
a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick
together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: vA' = 1.5
ft/s]
b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is
starting to speed up, but is slipping on boxes A & B.
c) Knowing that the coefficient of friction between all the surfaces is 0.2, calculate the time
required for the three boxes to reach the same speed (in seconds). Hint: you will need two
equations and two unknowns to solve for this. Use your two FBDS to write the two
equations. [Ans. to Check: 0.0776 sec]
Before
After
V
VA
Transcribed Image Text:1) Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box A, which has an initial speed, VA, of 3 ft/s. After the impact between A and B, the friction causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are moving at the same speed as a single mass. a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: vA' = 1.5 ft/s] b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is starting to speed up, but is slipping on boxes A & B. c) Knowing that the coefficient of friction between all the surfaces is 0.2, calculate the time required for the three boxes to reach the same speed (in seconds). Hint: you will need two equations and two unknowns to solve for this. Use your two FBDS to write the two equations. [Ans. to Check: 0.0776 sec] Before After V VA
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