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12- 3 solution :

6m. B. A. h. 12- 3 solution :. (1) work done by gravity:. (2) work done by F :. note: F is a unconstant force. 200. 12- 5 solution :. (1) take the ball to study. (2) make analysis of force. (3) from. we get:. Note: the stiffness of the spring is. B. A. O.

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12- 3 solution :

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  1. 6m B A h 12- 3 solution: (1) work done by gravity: (2) work done by F: note: F is a unconstant force

  2. 200 12- 5 solution: (1) take the ball to study (2) make analysis of force (3) from we get: Note: the stiffness of the spring is

  3. B A O note the direction of B A O 12- 6 solution: (1) take system to study (2) make analysis of force P (3) make analysis of motion P is the ICV of rod AB (4) use TKES

  4. P B A O

  5. A B note the direction of and 12- 10 solution: Choose the whole system to be investigated. When rod AB reaches the horizontal position, B is the ICV of rod AB. The disk B has instantaneous translation. From the theorem of kinetic energy, we have

  6. A B from Assuming that the final deformation of the spring is At the initial moment: At the lowest position , we get:

  7. A C B b , we get from When Assuming that: 12- 14 solution: take the rod to study

  8. P2 B A R P1 note the direction of 12- 15 solution: (1) take system to study (2) make analysis of motion When the linkage is in the position shown: P1 is the ICV of wheel A P2 is the ICV of rod AB (3)use TKES

  9. P2 B A R P1 derivative it:

  10. P2 B A R P1

  11. (1) Using the theorem of kinetic energy to determine 综-14 solution: take the system to study Form the time-derivative we obtain

  12. (2) Using the differential equations to determine the reaction forces of bearing O take wheel O to study we obtain:

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