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CEE 241 STATICS review set
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Gravity
Key Concepts:
Terms in this set (48)
If a dot product of two non-zero vectors is 0, then the two vectors must be _____________ to each other.
perpendicular
If a dot product of two non-zero vectors equals -1, then the vectors must be ________ to each other.
cannot be determined.
The Dot product can be used to find all of the following except ____ .
sum of two vectors
Find the dot product of the two vectors P and Q.
P = {5 i + 2 j + 3 k} m
Q = {-2 i + 5 j + 4 k} m
12 m^2
When a particle is in equilibrium, the sum of forces acting on it equals ___ . (Choose the most appropriate answer)
zero
Moment of force F about point O is defined as MO = ___________ .
r x F
If M = r x F, then what will be the value of M • r ?
0
If r = { 5 j } m and F = { 10 k } N, the moment r x F equals { _______ } N·m.
50i
When a particle is in equilibrium, the sum of forces acting on it equals ___ .
Zero
Particle P is in equilibrium with five (5) forces acting on it in 3-D space. How many scalar equations of equilibrium can be written for point P?
3
When determining the moment of a force about a specified axis, the axis must be along _____________.
any line in 3-D space
The triple scalar product u • ( r x F ) results in
a scalar quantity ( + or - ).
The vector operation (P xQ) • R equals
R • (P x Q).
If r = {1 i + 2 j} m and F = {10 i + 20 j + 30 k} N, then the moment of F about the y-axis is ____ N·m.
-30
In statics, a couple is defined as __________ separated by a perpendicular distance.
None of the above
The moment of a couple is called a _________ vector.
free
If three couples act on a body, the overall result is that:
the net force equals 0 but the net couple moment is not necessarily equal to 0
If a support prevents translation of a body, then the support exerts a ___________ on the body.
force
Internal forces are _________ shown on the free body diagram of a whole body.
never
Internal forces are not shown on a free body diagram because the internal forces are_____.
equal and opposite and they do not affect the calculations
The three scalar equations ∑FX = ∑ FY = ∑ MO = 0, are ____ equations of equilibrium in two dimensions.
the most commonly used
If a support prevents rotation of a body about an axis, then the support exerts a ________ on the body about that axis.
couple moment
When doing a 3-D problem analysis, you have ________ scalar equations of equilibrium.
6
One of the assumptions used when analyzing a simple truss is that the members are joined together by __________.
smooth pins
In the method of joints, typically _________ equations of equilibrium are applied at every joint.
two
For the same magnitude of force to be carried, truss members in compression are generally made _______ as compared to members in tension.
thicker
In the method of sections, generally a "cut" passes through no more than _____ members in which the forces are unknown.
3
If a simple truss member carries a tensile force of T along its length, then the internal force in the member is ______
tensile with magnitude of T
Frames and machines are different as compared to trusses since they have ___________.
at least one multiforce member
Forces common to any two contacting members act with _______ on the other member.
equal magnitudes but opposite sense
In a multiforce member, the member is generally subjected to an internal _________.
normal force, shear force, and bending moment
Simply supported beams are beams with _________ supports.
pin and roller
The slope of the bending moment diagram is _________ .
the shear force
A friction force always acts _____ to the contact surface.
parallel
If a block is stationary, then the friction force acting on it is ________ .
<μs*N
In the analysis of frictional forces on a flat belt, T2 = T1 e^ (μ b).
In this equation, b equals ______
angle of contact in radians
The _________ is the point defining the geometric center of an object
centroid
To study problems concerned with the motion of matter under the influence of forces, i.e., dynamics, it is necessary to locate a point called ________.
center of mass
A composite body in this section refers to a body made of ____.
a collection of "simple" shaped parts or holes
The composite method for determining the location of the center of gravity of a composite body requires _______.
simple arithmetic
The definition of the Moment of Inertia for an area involves an integral of the form
∫ x2 dA.
SI units for the Moment of Inertia for an area.
m^4
The parallel-axis theorem for an area is applied between
an axis passing through its centroid and any corresponding parallel axis.
The moment of inertia of a composite area equals the ____ of the MoI of all of its parts.
algebraic sum (addition or subtraction)
The definition of the Product of Inertia for an area involves an integral of the form
∫ xy dA.
Select the SI units for the product of Inertia for an area.
m^4
The formula definition of the mass moment of inertia about an axis is ___________ .
∫ r2 dm
The parallel-axis theorem can be applied to determine ________ .
BOTH MOI and MMI
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