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Vector Mechanics for Engineers Statics

96 SOLVED PROBLEMS

Question: 3.SP.9

Four tugboats are bringing an ocean liner to its pier. Each tugboat exerts a 5000-lb force in the direction shown. Determine (a) the equivalent forcecouple system at the foremast O, (b) the point on the hull where a single, more powerful tugboat should push to produce the same effect as the ...

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MODELING and ANALYSIS: a. Force-Couple System at O...
Question: 3.SP.6

Determine the components of the single couple equivalent to the two couples shown. STRATEGY: Look for ways to add equal and opposite forces to the diagram that, along with already known perpendicular distances, will produce new couples with moments along the coordinate axes. These can be combined ...

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MODELING: You can simplify the computations by att...
Question: 3.SP.5

A cube of side a is acted upon by a force P along the diagonal of a face, as shown. Determine the moment of P (a) about A, (b) about the edge AB, (c) about the diagonal AG of the cube. (d) Using the result of part c, determine the perpendicular distance between AG and FC. STRATEGY: Use the ...

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MODELING and ANALYSIS: a. Moment about A. Choosing...
Question: 2.SP.9

A 200-kg cylinder is hung by means of two cables AB and AC that are attached to the top of a vertical wall. A horizontal force P perpendicular to the wall holds the cylinder in the position shown. Determine the magnitude of P and the tension in each cable. STRATEGY: Connection point A is acted upon ...

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MODELING and ANALYSIS: Free-Body Diagram. Choose p...
Question: 3.SP.2

A force of 800 N acts on a bracket as shown. Determine the moment of the force about B. STRATEGY: You can resolve both the force and the position vector from B to A into rectangular components and then use a vector approach to complete the solution. ...

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MODELING and ANALYSIS: Obtain the moment \m...
Question: 2.SP.8

A wall section of precast concrete is temporarily held in place by the cables shown. If the tension is 840 lb in cable AB and 1200 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted by cables AB and AC on stake A. STRATEGY: This is a problem in adding ...

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MODELING and ANALYSIS: Components of the Forces. F...
Question: 7.SP.3

Draw the shear and bending-moment diagrams for the beam AB. The distributed load of 40 lb/in. extends over 12 in. of the beam from A to C, and the 400-lb load is applied at E. STRATEGY: Again, consider the entire beam as a free body to find the reactions. Then cut the beam within each region of ...

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MODELING and ANALYSIS: Free-Body, Entire Beam. Det...
Question: 7.SP.5

Draw the shear and bending-moment diagrams for the beam and loading shown and determine the location and magnitude of the maximum bending moment. STRATEGY: The load is a distributed load over part of the beam with no concentrated loads. You can use the equations in this section in two parts: for ...

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MODELING and ANALYSIS: Free-Body, Entire Beam. Con...
Question: 7.SP.4

Draw the shear and bending-moment diagrams for the beam and loading shown. STRATEGY: The beam supports two concentrated loads and one distributed load. You can use the equations in this section between these loads and under the distributed load, but you should expect certain changes in the diagrams ...

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MODELING and ANALYSIS: Free-Body, Entire Beam. Con...
Question: 7.SP.1

In the frame shown, determine the internal forces (a) in member ACF at point J, (b) in member BCD at point K. This frame was previously analyzed in Sample Prob. 6.5. STRATEGY: After isolating each member, you can cut it at the given point and treat the resulting parts as objects in equilibrium. ...

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MODELING: The reactions and the connection forces ...
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