As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) The force has magnitude F = 180 N and is directed as shown. The dimensions are x₁ = 0.350 m, x2 = 1.90 m, y₁ = 2.50 m, and z₁ = 1.20 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s)
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
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![As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope,
applied at the free end, point B.
(Figure 1)
The force has magnitude F = 180 N and is directed as shown. The dimensions are x₁ = 0.350 m,
x2 = 1.90 m, y₁ = 2.50 m, and z₁ = 1.20 m.
What is the moment about the origin due to the applied force F?
Express the individual components of the Cartesian vector to three significant figures, separated by
commas.
► View Available Hint(s)
VE ΑΣΦ
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