Rod in Static Equilibrium#
The figure shows a mass \(M\) attached to the right end of a rod of length \(L\) and of mass \(m\). There is a support located at the middle of the rod. The left end of the rod is connected to a spring. The system is in static equilibrium.
Part 1#
Determine the magnitude of the vertical force exerted on the rod by the spring (\(F_S\)).
Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.
For |
Use |
---|---|
\(M\) |
M |
\(L\) |
L |
\(m\) |
m |
\(g\) |
g |
Answer Section#
Please enter in a symbolic value in \(N\).
Part 2#
Determine the direction, \(\theta\), of the vertical force exerted on the rod by the spring (\(F_S\)). Assume that the left end of the rod is at the origin of a Cartesian plane (\(\theta > 0\) with zero being to the right).
Answer Section#
Please enter in a numeric value in degrees.
Part 3#
Find the magnitude of the normal force exerted on the rod by the support (\(n\)).
Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.
For |
Use |
---|---|
\(M\) |
M |
\(L\) |
L |
\(m\) |
m |
\(g\) |
g |
Answer Section#
Please enter in a symbolic value in \(N\).
Part 4#
On the figure, indicate which pivot point have you chosen to answer Part 1. In addition, show the direction of \(F_S\) determined in Part 2.
Your file must be a pdf.
Answer Section#
File upload box will be shown here.
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.