Questions and Answers
What is the value of the force given as 1391 N at 47.1°?
What did T(AC) equal to in the problem statement?
What are the two values given for part a) in the problem?
What is the value for the force of 474 N at -32.5°?
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What is the value of T(AC) and R given in the problem?
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What is the range of values for force given as 179.3 < P < 669 N?
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What three values were indicated for part a)?
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What values correspond to Fx, Fy, and Fz?
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What is the total resultant force R if R = 913 #?
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What direction is the force P given as 926 N ↑?
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What is the value of force P as given?
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What are the two tensions indicated in the problem?
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What is the moment M(A) as stated?
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What is the moment M(O) expressed in the problem?
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What is the moment expressed as 7.50 Nm i - 6.00 Nm j - 10.39 Nm k?
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What is the value of tension indicated as (T(AC))AB?
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What is the moment M(AB) expressed?
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What is the moment M(DB) given?
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What is the moment -6.19 Nm k referred to?
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What are the values given for part a) and b) respectively?
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What are the values of F and M given?
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What is the resultant for R if given as R = -420 N i - 50 N j - 250 N k?
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What is the moment M given as 30.8 Nm j - 22 Nm k?
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What are the force values for part a) and b)?
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What are the two values for forces given?
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What are A and B expressed as?
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What values correspond to part a) and b)?
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What is the tension given as T(BE)?
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What are the tensions provided for T(AD) and T(AE)?
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What is the force of 360 N referred to?
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For X-bar and Y-bar, what are their values?
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What values does X-bar and Y-bar hold?
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What are the values of X-bar and Y-bar expressed as?
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What is the volume V expressed as?
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What values correspond to parts a), b), and c)?
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What does d equal to in this case?
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What does the notation F state for AB and AC?
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What values are attributed to forces F indicated?
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What is the correspondence between F and the other variables?
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What is indicated for forces observed in F?
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What are the x and y components of the forces A and B?
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What is the value given as 195 kNm?
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What corresponding forces are indicated for F?
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What is the overall force of 8.45 kN stated?
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What are the forces characterized for F?
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What are the indicated values for F based on the angle?
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What is noted for part a), b), and c)?
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What information is given for part b)?
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What values were given for part b)?
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What does it mean when it is said 'In equilibrium'?
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What condition is observed if all move?
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What is the coefficient of friction stated?
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What formulas are provided in the statements?
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What expressions are given for the variables?
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What is the total moment for Ix?
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What are the expressions for Ix and Iy?
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What are the values for Ix and Iy expressed?
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What is the negative moment -0.380 in⁴ refer to?
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What are the expressed forces C and A in terms of kN?
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What are Ix'-bar and Iy'-bar expressed as?
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What are the values noted for R?
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What values correspond to R?
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Study Notes
Forces and Moments
- 1391 N @ 47.1° indicates a force with magnitude and angle.
- T(AC) = 2.66 kN @ -34.1° represents tension in rod AC.
- 392 # and 346 # may refer to weights or forces, expressed in pounds.
- 474 N @ -32.5° describes another force applied at a specific angle.
- T(AC) = 95.1 # and R = 95.0 # suggest tensions and resultant forces in a system.
Force Components
- Range of forces: 179.3 < P < 669 N shows allowable limits for force P.
- Values a) 220 N, 544 N, and 126.8 N with angles b) 68.5°, 25.0°, and 77.8° refer to multiple forces’ magnitudes and directions.
- Fx, Fy, Fz components: Fx = -1.260 kips, Fy = 1.213 kips, Fz = 0.970 kips indicate forces in 3D space.
Resultant Forces and Angles
- Resultant force R = 913 # with angles θx = 48.2°, θy = 116.6°, θz = 53.4° defines direction of resultant vector.
- P = 926 N ↑ and P = 1553 # show forces acting upwards.
Tension in Cables and Supports
- T(AB) = 30.8# and T(AC) = 62.5 # represent tensions in different cables.
- Moment M(A) = 116.156 #ft k relates to moment about point A.
- M(O) = (3080 Nm) i - (2070 Nm) k expresses moments in vector notation.
Moments and Torque
- Moment values such as M(AB) = -176.6 ft# and M(DB) = 2.28 Nm show calculated moments.
- -6.19 Nm k represents a moment acting in the k direction.
Load Analysis
- F = 48# @ 65° and M = 490 in# detail forces and moments acting at given angles.
- Resulting loads: F = 5 N i + 150 N j - 90 N k along with moment M represent vector form of a force system.
Structural Forces
- Support reaction R = -420 N i - 50 N j - 250 N k indicates how structure interacts under load.
- Set of forces, such as F(AD) = F(CF) = 7.00 kN, reveals internal forces in a framework.
Moments and Forces from Structures
- F(CE) = 36.0 kN T and F(EF) = 15 kN C show tension and compression forces in structural elements.
- Ix and Iy values provide moment of inertia for cross-sectional analysis, key in design calculations.
Equilibrium Conditions
- Key conditions such as In equilibrium F = 36.5 N @ 30° signify balance in forces acting on structures.
- µ = 0.377 and P = 173.9 N relate to friction and weight in mechanics.
Geometry and Measurements
- Centroids defined by X-bar and Y-bar values indicate mass distribution in components.
- Specific moments at distances measured from points (e.g., 10 kNm at 4 m from A) underscore critical loading locations.
Relations and Calculations
- Formulas given (e.g., Vmax = 40 kN and Mmax = 40 kN) illustrate maximum loading capacities.
- Each section provides relevant measures and relationships essential for static analysis.
Studying That Suits You
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Description
Test your knowledge on statics concepts with these flashcards featuring various force and vector problems. Each card presents a unique scenario where you can apply your understanding of forces, angles, and equilibrium. This quiz is ideal for students looking to reinforce their statics skills.