The rope CE exerts an 800 N force T on the hinged door. Let rBc be the vector from point B to point C. 1) Express T in terms of Cartesian components; 2) Determine the unit vector n, which is perpendicular to the door; 3) Find the components of T, T// and T1 that are parallel and perpendicular to the door; (Hint: determine T1 perpendicular to the door first, and think about why?) 4) Determine the product n · (rBC x T). E (0.2, 0.4. -0.1) m ((), 0.2, 0) m rBC A (0.5.0, 0) m (0.35, 0, 0.2) m
The rope CE exerts an 800 N force T on the hinged door. Let rBc be the vector from point B to point C. 1) Express T in terms of Cartesian components; 2) Determine the unit vector n, which is perpendicular to the door; 3) Find the components of T, T// and T1 that are parallel and perpendicular to the door; (Hint: determine T1 perpendicular to the door first, and think about why?) 4) Determine the product n · (rBC x T). E (0.2, 0.4. -0.1) m ((), 0.2, 0) m rBC A (0.5.0, 0) m (0.35, 0, 0.2) m
The rope CE exerts an 800 N force T on the hinged door. Let rBc be the vector from point B to point C. 1) Express T in terms of Cartesian components; 2) Determine the unit vector n, which is perpendicular to the door; 3) Find the components of T, T// and T1 that are parallel and perpendicular to the door; (Hint: determine T1 perpendicular to the door first, and think about why?) 4) Determine the product n · (rBC x T). E (0.2, 0.4. -0.1) m ((), 0.2, 0) m rBC A (0.5.0, 0) m (0.35, 0, 0.2) m
determine the unit vector n, which is perpendictular to the door.
Transcribed Image Text:Problem 4:
The
CE exerts an 800 N force T on the hinged door. Let rBc be the vector from point
rope
B to point C.
1) Express T in terms of Cartesian components;
2) Determine the unit vector n, which is perpendicular to the door;
3) Find the components of T, T// and T1 that are parallel and perpendicular to
the door; (Hint: determine Ti perpendicular to the door first, and think
about why?)
4) Determine the product n · (rBC x T).
E
(0.2, 0.4. -0.1) m
((), 0.2, 0) m
rBC
A (0.5.0,0) m
B
(0.35, 0, 0.2) m
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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