cmillan Learning Dima pulls directly backward with a force F = 107 N on the end of a 2.00 m-long oar. The oar pivots about its midpoint. At the instant shown, the oar is completely in the yz-plane and makes a 0 = 29.0° angle with respect to the water's surface. Derive an expression for the torque vector 7 about the axis through the oar's pivot. Express the torque using ijk vector notation. 7 = Txi + Ty j + t₂ k 7 = N-m Side view Aerial view 0 y
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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Dima pulls directly backward with a force F = 107 N on the
end of a 2.00 m-long oar. The oar pivots about its midpoint.
At the instant shown, the oar is completely in the yz-plane
and makes a 0 = 29.0° angle with respect to the
water's surface.
Derive an expression for the torque vector 7 about the axis
through the oar's pivot. Express the torque using ijk
vector notation.
7 = txi +Tyj+ T₂ k
7 =
N.m
Side view
Aerial view
TO
F
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