Torque/Vertical Force Problem

  • Thread starter kp87
  • Start date
  • #1
7
0

Homework Statement


A 75.0 kg horizontal beam is supported at each end. A 275 kg piano rests a quarter of the way from one end. What is the vertical force on the support closest to the piano?
What is the vertical force on the support farthest from the piano?

Homework Equations


Tcw=Tccw



The Attempt at a Solution


I tried using Tcw=Tccw
so Fpiano*r1+Fbeam*r2=Fbeam*r3
so 275*9.81*3/4+75*9.81*1/2=Fb*1
So I got 2391N for the farthest beam
and 275*9.81*1/4+75*9.81*1/2=Fb*1
and got 1042N for the closer one but they seem to be wrong...
can you guys help me on this?

nvm... I got the answer now I did it backwards so the one with 1042N is farthest and 2391N is the closest...
thanks lol
 
Last edited:

Answers and Replies

  • #2
radou
Homework Helper
3,115
6
Simplify your notation. Let A be the reaction force at the support closer to the piano (let's say, the left one), and B the other reaction force. Then set the sum of moments around support B (the one further from the piano) equal to zero. Let the length of the beam be L.

Edit: don't forget to count the weight of the beam (whose resultant is acting at the center of the beam) in your calculation.
 

Related Threads on Torque/Vertical Force Problem

  • Last Post
Replies
4
Views
6K
  • Last Post
Replies
5
Views
860
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
1
Views
753
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
11K
  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
4
Views
10K
  • Last Post
Replies
5
Views
7K
  • Last Post
Replies
1
Views
731
Top