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.

../../../../../_images/rod.png

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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.