00:01
In this problem on the topic of equilibrium of a particle, we want to determine the force in each of the cables shown in the diagram, which are needed to support the flower pot of mass 20kg.
00:13
So we'll draw the free body diagram as we have here, and we'll write the equations of equilibrium as follows.
00:22
So in equilibrium, we know the sum of all the z components of the forces must equal to zero.
00:29
So this means that f .a .b.
00:35
Into 6 over the square root of 45 minus the weight of the flower pot, which is 20 times 9 .81, must equal to zero.
00:52
Which means that immediately we can find the magnitude of force fab.
00:57
So force fab has magnitude 219.
01:04
0 .36 newtons if we keep our significant figures this is 219 newtons so we can immediately find that force now if we look at again the equilibrium equation but this time for the forces along the x direction the sum of these again must be equal to zero and this is f ac using some trigonometry that's multiplied by 2 over the square root of 20 minus the magnitude of force f a d times 2 over the square root of 20 is equal to 0...