Static Equilibrium - Please help!

  • #1

Homework Statement



The metal pole has a mass of 10kg, and the load has a mass of 50kg. The rope is attached so that it is ¼ of the pole’s length from the free end of the pole. Find the tension in the rope and the force at the hinge.

Homework Equations





The Attempt at a Solution

 

Attachments

Answers and Replies

  • #2
I have tried to set up this problem but would like some feedback.

I want to set my vector diagram with the origin placed at the hinge point, with y+ upwards and x+ going to the right.

[tex]\sum[/tex] [tex]\tau[/tex]=0

T(3/4)sin20 - 98N(1/2)sin50 - 490(1)sin50 = 0

T(3/4)sin20 = 412.8979548

T = 188.29 N

If I am right with the value for tension, then to find x and y components of force would be:

[tex]\sum[/tex] Fy = 0

Ay - 98 - 490 + 188.29sin20 = 0

Ay = 523.7 N

[tex]\sum[/tex] Fx = 0

Ax - 188.29cos20 = 0

Ax = 176.93 N

Am I on the right track?
 

Related Threads on Static Equilibrium - Please help!

  • Last Post
Replies
8
Views
3K
Replies
5
Views
3K
Replies
1
Views
1K
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
12
Views
3K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
8
Views
2K
Replies
5
Views
2K
Top