00:01
So for part a, we're trying to compute the weight.
00:03
We're going to compute the torques about the hinge.
00:07
So we can say for part a, the tension times l, sign of 40 degrees, would be equal to the weight times l over 2, multiplied by sign of 50 degrees.
00:21
And so the weight after we can cancel out the l's, and so we then can say 2t sine of 40 degrees divided by sign of 50 degrees would equal the weight, knowing that this would be 2 times 400 newton's sign of 40 degrees divided by sign of 50 degrees.
00:50
And so the weight would be equal to 671 newtons.
00:56
We can say in vector notation, this would simply be negative 671 newtons because the weight is always pointed down because it's always the force of gravity, and then j hat would be the direction.
01:15
And so this would be answered for part a.
01:17
For part b, we're going to then apply newton's second law to the vertical and horizontal forces...