Statics Homework Problems Flashcards

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Questions and Answers

What is the value of the force given as 1391 N at 47.1°?

2000 N
350 N
500 N
1391 N (correct)

What did T(AC) equal to in the problem statement?

1500 N
3000 N
1 kN
2.66 kN @ -34.1° (correct)

What are the two values given for part a) in the problem?

392 # and 346 # (correct)
100 # and 200 #
250 # and 500 #
None of the above

What is the value for the force of 474 N at -32.5°?

474 N (A) Signup and view all the answers

What is the value of T(AC) and R given in the problem?

T(AC) = 95.1 # and R = 95.0 # (A) Signup and view all the answers

What is the range of values for force given as 179.3 < P < 669 N?

179.3 N to 669 N Signup and view all the answers

What three values were indicated for part a)?

220 N, 544 N, 126.8 N (A) Signup and view all the answers

What values correspond to Fx, Fy, and Fz?

Fx = -1.260 kips, Fy = 1.213 kips, Fz = 0.970 kips (A) Signup and view all the answers

What is the total resultant force R if R = 913 #?

913 # Signup and view all the answers

What direction is the force P given as 926 N ↑?

Upward (C) Signup and view all the answers

What is the value of force P as given?

1553 # Signup and view all the answers

What are the two tensions indicated in the problem?

T(AB) = 30.8# and T(AC) = 62.5 # (A) Signup and view all the answers

What is the moment M(A) as stated?

116.156 #ft k Signup and view all the answers

What is the moment M(O) expressed in the problem?

(3080 Nm) i - (2070 Nm) k Signup and view all the answers

What is the moment expressed as 7.50 Nm i - 6.00 Nm j - 10.39 Nm k?

The moment vector. Signup and view all the answers

What is the value of tension indicated as (T(AC))AB?

144 # (B) Signup and view all the answers

What is the moment M(AB) expressed?

-176.6 ft# Signup and view all the answers

What is the moment M(DB) given?

2.28 Nm Signup and view all the answers

What is the moment -6.19 Nm k referred to?

The moment being indicated. Signup and view all the answers

What are the values given for part a) and b) respectively?

F = 48# @ 65° ; M = 490 in# and F = 48# @ 65°, 17.78 applied left of B (A) Signup and view all the answers

What are the values of F and M given?

F = 5 N i + 150 N j -90 N k and M = 77.4 Nm i + 61.5 Nm j +106.8 Nm k (A) Signup and view all the answers

What is the resultant for R if given as R = -420 N i - 50 N j - 250 N k?

R = -420 N i - 50 N j - 250 N k Signup and view all the answers

What is the moment M given as 30.8 Nm j - 22 Nm k?

30.8 Nm j - 22 Nm k Signup and view all the answers

What are the force values for part a) and b)?

245 # ↑ and 140 # (A) Signup and view all the answers

What are the two values for forces given?

2 kN and 2.32 kN @ 46.1° (A) Signup and view all the answers

What are A and B expressed as?

A = 44.7 # @ 26.6° , B = 30 # ↑ and A = 30.2 # @ 41.4° , B = 34.6 # @ 60° (A) Signup and view all the answers

What values correspond to part a) and b)?

324 N and 270 N → (A) Signup and view all the answers

What is the tension given as T(BE)?

192.6 N and A = 73.6 N → D = 73.6 N ← (A) Signup and view all the answers

What are the tensions provided for T(AD) and T(AE)?

T(AD) = 2.60 kN and T(AE) = 2.80 kN (A) Signup and view all the answers

What is the force of 360 N referred to?

360 N Signup and view all the answers

For X-bar and Y-bar, what are their values?

X-bar = 2.84 mm and Y-bar = 24.8 mm (A) Signup and view all the answers

What values does X-bar and Y-bar hold?

X-bar = 0 and Y-bar = 1.372 m (A) Signup and view all the answers

What are the values of X-bar and Y-bar expressed as?

X-bar = 2.88 mm and Y-bar = 25.45 mm (A) Signup and view all the answers

What is the volume V expressed as?

3.96 in³ Signup and view all the answers

What values correspond to parts a), b), and c)?

a) H = 10.11 kips →; V = 37.8 kips ↑; R = 10.66 @ 18.43° (A) Signup and view all the answers

What does d equal to in this case?

2.64 Signup and view all the answers

What does the notation F state for AB and AC?

F(AB) = F(AC) = 0 and F(AD) = F(CF) = 7.00 kN; F(BD) = F(BF) = 34.0 kN; F(BE) = 8.00 kN T; F(DE) = F(EF) = 30.0 kN T (A) Signup and view all the answers

What values are attributed to forces F indicated?

F(AB) = 47.2 kN C and F(AC) = 44.6 kN T; F(BC) = 10.50 kN C; F(BD) = 47.2 kN C; F(CD) = 17.50 kN T; F(CE) = 30.6 kN T; F(DE) = 0 (A) Signup and view all the answers

What is the correspondence between F and the other variables?

F(CE) = 36.0 kN T and F(EF) = 15 kN C (A) Signup and view all the answers

What is indicated for forces observed in F?

F(AD) = 3.38 kips C; F(CD) = 0; F(CE) = 14.03 kips T (A) Signup and view all the answers

What are the x and y components of the forces A and B?

Ax = 45 N ←; Ay = 30 N ↓; Bx = 45 N →; By = 270 N ↑ (A) Signup and view all the answers

What is the value given as 195 kNm?

195 kNm Signup and view all the answers

What corresponding forces are indicated for F?

F(AE) = 800 N T and F(DG) = 100 N C (A) Signup and view all the answers

What is the overall force of 8.45 kN stated?

8.45 kN Signup and view all the answers

What are the forces characterized for F?

F = 125 N @ 67.4°; V = 300 N @ 22.6°; M = 156 Nm (A) Signup and view all the answers

What are the indicated values for F based on the angle?

F = 250 N @ 36.9°; V = 120 N @ 53.1°; M(BJ) = 120 Nm (A) Signup and view all the answers

What is noted for part a), b), and c)?

Vmax = 40 kN; Mmax = 40 kN (A) Signup and view all the answers

What information is given for part b)?

75 kNm; 4 m from A (A) Signup and view all the answers

What values were given for part b)?

14.40 kips ft; 6 m from A (A) Signup and view all the answers

What does it mean when it is said 'In equilibrium'?

F = 36.5 N @ 30° (A) Signup and view all the answers

What condition is observed if all move?

F(A) = 7.58 N, F(B) = 3.03 N (A) Signup and view all the answers

What is the coefficient of friction stated?

µ = 0.377; P = 173.9 N (A) Signup and view all the answers

What formulas are provided in the statements?

9.3 - b³h/12; 9.4 - a³b/6 (A) Signup and view all the answers

What expressions are given for the variables?

20a⁴ and 1.862a (A) Signup and view all the answers

What is the total moment for Ix?

Ix = 46 in⁴; kx = 1.599 in (A) Signup and view all the answers

What are the expressions for Ix and Iy?

Ix = 69.9a⁴ and Iy = 72a⁴ (A) Signup and view all the answers

What are the values for Ix and Iy expressed?

Ix = 191.3 in⁴ and Iy = 75.2 in⁴ (A) Signup and view all the answers

What is the negative moment -0.380 in⁴ refer to?

-0.380 in⁴ Signup and view all the answers

What are the expressed forces C and A in terms of kN?

C = 30 kN↑; A = 60 kN ↑; 75 kNm; 4 m from A (A) Signup and view all the answers

What are Ix'-bar and Iy'-bar expressed as?

Ix'-bar = 1033 in⁴; Iy'-bar = 1.244 in⁴; Ix'y'-bar = 0.1132 in⁴ (A) Signup and view all the answers

What are the values noted for R?

R = 0.5160 in⁴; θ = 23.7 CW about C (A) Signup and view all the answers

What values correspond to R?

R = 8.02915 in⁴; θ = 15.99 CCW about C (A) Signup and view all the answers

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.

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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.