Statics of Rigid Bodies 2s1516
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Transcript of Statics of Rigid Bodies 2s1516
![Page 1: Statics of Rigid Bodies 2s1516](https://reader034.fdocuments.net/reader034/viewer/2022050708/5695d1b21a28ab9b02978e26/html5/thumbnails/1.jpg)
STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 1: The 20-kg flowerpot is suspended from three wires and supported by the hooks at B and C. determine the tension in AB for equilibrium.
a. 150 N c. 157 N b. 165 N d. 118 N
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 2: The 20-kg homogenous sphere rests on the two inclines as shown. Determine the contact force at A.
a. 186.1 N c. 101.60 N b. 175.3 N d. 123.4 N
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 3: The 150-lb man attempts to lift himself and the 10-lb seat using the rope and pulley system shown. Determine the force at A needed to do so.
a. 16 lbs c. 150 lbs b. 30 lbs d. 10 lbs
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 4: Calculate the forces in members BE and BD of the loaded truss.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 5: The coefficients of static and kinetic friction between the 100-kg block and the inclined plane are 0.30 and 0.20, respectively. Determine (a) the friction force F acting on the block when P is applied with a magnitude of 200 N to the block at rest (b) the force P required to initiate motion up the incline from rest and (c) the friction force F acting on the block if P = 600 N.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 6: The magnitude of force P is slowly increased. State the value of P which would cause slipping and tipping. Neglect any effect of the size of the small feet.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 7: What is the minimum magnitude of the weight Q that can hold the weight P = 90 kN in equilibrium if the coefficient of friction between the cord and the pulley is µ = 0.40? Assume that the pulley is locked and cannot turn.
a. 32.34 kN c.316.22 kN b. 25.61 kN d. 84.32 kN
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 8: a wedge with an angle of 20O is forced under a weight of 1000 lbs held against a vertical wall A. If the angle of friction Φ is 15O for all surfaces, what horizontal force P is necessary to start the wedge to the right?
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 9: The supports A and B of the cable shown are at the same level and the maximum tension in the cable is 20 kN. Find the sag of the cable at its lowest point.
a. 3.27 m c. 1.51 m b. 2.26 m d. 1.87 m
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 10: A cable supports a load of 50 kg/m uniformly distributed with respect to the horizontal and is suspended from the two fixed points located as shown. Determine the maximum and minimum tensions in the cable.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 11: Calculate the tension T required to steadily pull the cable over a roller support on the utility pole. Neglect the effects of friction at the support. The cable, which is horizontal at A, has a mass of 3 kg/m. Also, determine the length of cable from A to B.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 12: Find the total length L of the cable which will have the configuration shown when suspended from points A and B.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 13: Determine the x coordinate of the centroid of the line.
a. 2.338 c. 3.117 b. 3.236 d. 1.987
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 14: Determine the location of the centroid of the area shown.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 15: Determine the volume V and the total surface area of the complete ring which is shown in section. All four radii of the cross section are 10 mm.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 16. Calculate the moment of inertia of the shaded area about the x-axis.
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 17. Determine the product of inertia of the shaded area about the x and y axes. a. 3 in4 c. 6 in4 b. 4 in4 d. 8 in4
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STATICS OF RIGID BODIES
TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor
Problem 18: Determine the product of inertia of the area shown below with respect to the centroidal x and y axes.
a. -9011 mm4
b. -5480 mm4 c. -7220 mm4 d. -5450 mm4