Problem 1: Couples
Given the system of forces with the magnitudes and geometries as indicated
in the diagram, determine the forces at points A and B which are required
to put this force system in equilibrium.
Problem 2: Couples
Given the system of forces with the magnitudes and geometries as indicated
in the diagram, determine the forces that must act on the perimeter of the
wheel to put this force system in equilibrium.
Problem 3: Couples
Given the street lamp in the illustration provides a force of 300 pounds
at a distance of 8 feet from the vertical pole. What are the magnitude of
the compressive and tensile forces of the supporting arms if they are seperated
by a distance of 18 inches?
Problem 4: Couples
Given the gymnist weighing 125 pounds holding themself perpendicular
to a pole. Assume that their center of gravity is 2.5 feet from the pole.
What are the magnitude of the compressive and tensile forces of the supporting
arms if they are seperated by a distance of 6 inches? of 12 inches? of 18
inches? of 24 inches?of 36 inches?
Problem 5: Couples
Given a steel element is cantilevered 24" from a wall with a bolted
connection as shown. The bolts are seperated by a distance of 8 inches.
Determine the magnitude of the forces generated by each of the bolts as
they generate a couple when the loading force is 100 pounds; is 200 pounds;
is 1 kip.
Problem 6: Couples
Given the street lamp that is hung from a pole that has the idealized
bolted connection as shown. If each bolted connection at the base, A and
B, can develop a strength of 1800 pounds, how much of a distance must lie
between A and B in order to hold the 225 pound lamp at a distance of 12
feet from the center-line of the connection?