Statics Spring 2016 Exam #2 (Closed book) March 10, 2016 Name: Kosohl (30%) Defi

Question

Statics Spring 2016 Exam #2 (Closed book) March 10, 2016 Name: Kosohl (30%) Define/describe briefly the following terms: 1) What is meant by a moment? Is it a vector or a scalar? a) b) What is the magnitude of the moment of a force about a point? c) If you know the components of two vectors A and B, how do you determine their cross product? Is the cross product a vector or a scalar? d) If two vector A and B such that AaB = 0, what does this mean? e) What is the general procedure for drawing a Free Body Diagram? 0 If the line of action of a force passes through a point P, what do you know about the moment of the force about P? 8) How would you calculate the moment exert about a point O by a coupe consisting of forces F and -F? h) When you use the equation Mo rxF to determine the moment of force F about O, how do you choose r? i) Concurrent, coplanar, and parallel force systems. j) Moment of a couple (20%) a) Determine the moment of this force, F-50i-40j +20k) Iby about the x axis b) Determine the moment of this force about the y axis c) Determine the moment of this force about the z axis. d) Determine the moment of the force about the AB axis. Express the results as a Cartesian 2) vector. 2 ft 3 ft 4 ft ENGN 2050.203

Explanation / Answer

1

(a) moment is the rotating effect of a force about an axis of rotation . it is given by the cross-product of force and distance from axis of rotation. it is a vector quantity

b)

magnitude of moment is given as

moment = Force x perpendicular distance

c)

we can represent A and B is unit vector notations and then take the cross-product of A and B . The cross-product of two vectors is a vector

d)

if A x B = 0

then A and B are parallel to each other.

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