Current location - Training Enrollment Network - Mathematics courses - 20 15 putuo senior three mathematics module 2
20 15 putuo senior three mathematics module 2
Let the resultant force of rope AO and rope BO be f, and take point o as the research object.

Point O is subjected to gravity mg, the supporting force F2 of the rod and the resultant force F of the pulling force between AO and rope BO, and the force is shown in the figure. According to the equilibrium conditions, the following results are obtained:

F = mgtan30 = 33mg mg

F2 = mgcos30 = 233mg mg.

F decomposition, as shown on the right. Let the tension on AO be F 1, because ∠ AOB = 60, there is

2F 1cos30 =F

Solution, F 1= 13mg.

So the answer is: 13mg, 233mg.