Statics: Practice Exam #1
1.
2.
3.
For the figure to the right, let the force at A be FA=60 N, the force
at B be FB=80 N, and the couple moment at C be MC=300 N·m.
Find the following:
a.
Equivalent force at O
b.
Total moment about O
c.
How far from O should the equivalent force be relocated in
order to replace the moment about O?
d.
Total moment about P
Rope C is in the x-y plane and is under 50 N of tension. The
unstretched length of the spring is 12 cm and the spring
constant is 20 N/cm. The weight of the block is 25 N. Find
the following:
a.
The spring force
b.
The resultant force for equilibrium of the system.
c.
The direction cosines of the resultant.
The beam is under a distributed load as shown. Assume
that the roller at B is smooth. Ignore the weight of the
beam. Find the following:
a.
Resultant for rectangular region of load.
b.
Location of resultant for rectangular region of load.
c.
Resultant for triangular region of load.
d.
Location of resultant for triangular region of load.
e.
Total resultant and location of entire load.
f.
Magnitude of reaction forces at A and B.
MAE-2101 Fall 2005 Ver. A
1
Gist
Statics: Practice Exam #1
4.
Find the resultant (magnitude and location) for the
distributed load shown. Ignore the weight of the
beam.
5.
For the trap door of uniform weight pictured to the right, assume that the
weight is 40 N at G. The hinges are properly aligned (this means that
they experience only linear forces and no moments).
6.
a.
Find the tension, T, in the rope for equilibrium.
b.
Find the reactions at the hinges.
r
r
Given a force vector F =<2,0,-2> kN acting at a point r =<0.3,0.1,0> m, what is the
component of the moment of this force about the origin that lies along the line
û =<-0.5,0.866,0>?
MAE-2101 Fall 2005 Ver. A
2
Gist