Midterm Review
Question 1:
See the following schematic:
4500N
3000N
2m
1m
0.5m
0.5m
(a) Draw the free body diagram of rod AB with the reactions in the correct direction. Assume that
the collar B slides on smooth rod CD without friction.
(b) Solve for the reactions at pin A and collar B.
Question 2:
In this set up, the pole ABC is held by a ball-and-socket joint at A and Cable DBE passes around a
frictionless pulley at B.
(a) Draw the FBD of the pole ABC.
(b) Define the vectors ⃑⃑⃑⃑ , ⃑⃑⃑⃑⃑⃑⃑ , and ⃑⃑⃑⃑⃑⃑⃑ in component form ( ̂ ̂ ̂).
(c) Knowing W=500N, solve for the tension in the cables and the reaction at A.
Question 3:
Assuming uniform thickness and density, find the location of the centroid of the following shape. Use
a table (as shown in class) and the coordinate system shown for full points.