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Beam AB is loaded with a 2 kN force and a 2.4 kN-m couple as shown. Draw a free body diagram of beam AB.
Determine the reactions at the supports. If the reaction at roller B was found to be negative, what would
this imply physically about the system?
A pair of pliers grips the bolt as shown below. For an input force, P = 40 N, determine the force exerted on the
bolt. Draw free body diagrams of the upper handle, the lower handle, and the jaw (link CDE). Determine the forces
in the link AB and determine the force exerted on the bolt at point E.
What are the components of the reactions at the wall? Find the value of the distributed load and take the
moment about point A.
Find the y-component of the centroid for the case below. All dimensions are in inches and the area of the
region is 18 in squared. y=9-2x^2
What is the maximum load, W, that can be pulled-up (lifted) by the application of 200-lb on the rope? A
weight is pulled up from a rope wrapped around a stationary pulley.
Determine the center of mass in the x-direction for the thin rod provided below. Assume that it has a
constant mass per unit length of 4 slugs/ft.
Determine the equivalent force and the point of application for the hydrostatic pressure applied to the
1 ft (out of the paper) wide wall.
A 250 lb refrigerator is on a surface with a coefficient of friction of 0.6 . A tension, T, is applied to a
rope that is wrapped around a pulley with a coefficient of friction of 0.5 . Draw a free body diagram of the
refrigerator for the case of impending tipping. Use the figure provided below. Solve for the tension, T, for
the refrigerator to tip. Draw the free body diagram of the refrigerator for the case of impending slipping.
Use the figure provided below. Solve for the tension, T, for the refrigerator to slip. Will the refrigerator
tip or slip?
A truss is supported at joints J and D, as shown. The length of each strut in the structure is 8 m. Complete
the free body diagram of the structure proved below. Determine the reactions at points J and D. Determine
the loads carried by member CG, GD, and GF using appropriate free body diagrams to motivate your equations.
An ideal (frictionless) pulley A supports block B of mass m. The cable is wrapped over a rough,
stationary drum, as shown. Determine the maximum mass, m, for which the system will remain stationary.
Determine the minimum mass, m, for which the system will remain stationary.
Determine the y-component of the centroid for the region shown below. y=1+x^3/6
Determine the x-component of the centroid for the object shown below. Find the centroid of the triangle
with a cirlcle cut through it.
The mechanism shown below holds back a column of water with height h= 3 m using a gate pinned at point A.
You may assume that the bottom of the gate just touches the ground, but that the ground exerts negligible
force on it. The density of water is 1000 kg/m^3. Determine the force that the water exerts on the gate
and its location. Draw a free body diagram of the gate. Determine the load carried by member BC.
Tower OD is supported with 3 cables DA, DB, and DC. If the tension in cable DC is 20 kN, write a vector
expression for the force in cable DC. The force in cable DB is given by T = 2.29 i - 9.73 k kN. Determine
the magnitude of the projection of T in the direction of DC.
Curved bar ABCD is loaded with a single force as shown. Determine the equivalent force-couple system at point A.
Telephone pole ABC is partially supported by cable CD. If the tension in cable CD is 10 kN, determine the moment
about point A due to this cable.
Angled bar ACB is supported by a pin at A and a roller reaction at B. The bar is loaded with a 4000 Nm couple
as shown. Draw a complete free body diagram of bar ACB. Determine the magnitude of the reaction force at the
roller support at B. Determine the magnitudes of the reactions at pin A. If the 4000 Nm applied moment were
shifted to the end of the angled bar, would the magnitude of N increase, decrease, or remain the same?
Truss A-L is supported with a fixed support at joint A and a roller support at joint I.
the truss is loaded with two forces as whon and is in static equilibrium. Determine the
magnitudes of the support reactions at joints A and I. Determine the loads in members EF
and FK. Also, identify whether these members are in tension or compression. Identify all
zero-force members in the truss. Pick one zero-force member and prove it's a zero-force
member using your equilibrium equations.
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