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ProblemsClear skill: Force Systems Build a practice set

ProblemCourse & topicStatus

STAT:9902001A force of magnitude 480 N acts through the origin in the direction of the vector 3i − 6j + 2k.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902002Resolve the 2.5 kN force acting at point A into Cartesian components if the line of action of the force makes…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902003Point B lies at (4 m, −2 m, 3 m) and point C lies at (−1 m, 5 m, 1 m).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902004Three concurrent forces act at point O: F1 = (200i − 150j) N, F2 = (−80i + 320j) N, and F3 = (50i − 90j) N.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902005Forces of 120 lb, 200 lb, and 160 lb act along the sides of an equilateral triangle ABC of side length 3 ft, with…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902006A 650 N force is directed from point D(2 m, 0, 0) toward point E(0, 3 m, 6 m).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902007Mathematical problem title

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902008Express the force F = (−240i + 180j − 100k) N as a product of its magnitude and a unit vector in its direction.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902009Four coplanar forces act at a joint: 300 N at 0°, 450 N at 70°, 200 N at 150°, and 350 N at 255°, where angles are…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902010A force F = (80i − 40j + 60k) lb acts at point P(2 ft, 1 ft, −3 ft).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902011A 1.2 kN force acts along the line from A(0, 0, 0) to B(3 m, 4 m, 12 m).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902012Force F = (50i + 80j − 40k) N is applied at corner G of a rectangular box with corners at O(0,0,0), A(0.6 m,0,0)…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902013A 250 N force acts in the negative y-direction at point Q(0.8 m, 0, 0.5 m).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902014Using Varignon’s theorem, determine the moment about point A of the 600 N force applied at B on the L-shaped member.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902015Two parallel forces of equal magnitude 400 N but opposite sense form a couple in the x–y plane.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902016Replace the force F = (120i − 90j) N acting at point (0.4 m, 0.2 m) by an equivalent force–couple system at the…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902017A 3 kN vertical downward force acts at the free end of a horizontal cantilever of length 2.4 m.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902018The force system on a rigid body consists of F1 = 200i N at (0, 0.5 m), F2 = −150j N at (0.8 m, 0), and a couple…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902019Three forces act on a particle: 500 N directed 30° above the positive x-axis, 350 N directed 120° from the…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902020A particle is in equilibrium under four concurrent coplanar forces.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902021Two cables support a 75 kg traffic light suspended from point O in a vertical plane.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902022A particle at the origin is subjected to F1 = (60i − 80j + 0k) N and F2 = (−40i + 20j + 50k) N.

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902023Force F = (100i + 0j − 75k) lb acts at A(0, 4 ft, 0).

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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STAT:9902024A wrench applies a force of 80 N along the axis of a bolt (taken as the z-direction) together with a couple of…

Force SystemsStatics Problem Solving

Vectors, moments, couples, and equivalent force systemsEngineering Statics · Calculation

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Two forces act on a bolt:

F_A

= 80i − 60j (lb) and

F_B

has magnitude 100 lb and direction 40° above the negative…