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The beam ABC has a mass of 79.0 kg and is supported by the rope BDC that runs through the frictionless pulley at D . The winch at C has a mass of 36.5 kg. The tension in the rope acts on the beam at points B and C and counteracts the moments due to the beam's weight (acting vertically at the midpoint of its length) and the weight of the winch (acting vertically at point C) such that the resultant moment about point A is equal to zero. Assume that rope segment CD is vertical and note that rope segment BD is NOT necessarily perpendicular to the beam. a.) Compute the tension in the rope. b.) Model the two forces the rope exerts on the beam as a single equivalent force and couple moment acting at point B. Enter your answer in Cartesian components. c.) Model the two forces the rope exerts on the beam as a single equivalent force (no couple) and determine the distance from A to the point along the beam where the equivalent force acts (measured parallel to the beam from A ). Enter your answer in Cartesian components. 5 BY NC SA 2013 Michael Swanbom с frictionless pulley winch d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.00 m b 3.75 m с 1.95 m d 5.40 m a.) The tension in the rope is b.) The equivalent force and couple system acting at B → consists of a force F. eq = + and a couple Meq = j) N, N-m. N. c.) The tension forces can also be modeled by an equivalent force of F = eq acting at a point beam from A. 2 + N meters along the

The beam ABC has a mass of 79.0 kg and is supported by the rope BDC that runs through the frictionless pulley at D . The winch at C has a mass of 36.5 kg. The tension in the rope acts on the beam at points B and C and counteracts the moments due to the beam's weight (acting vertically at the midpoint of its length) and the weight of the winch (acting vertically at point C) such that the resultant moment about point A is equal to zero. Assume that rope segment CD is vertical and note that rope segment BD is NOT necessarily perpendicular to the beam. a.) Compute the tension in the rope. b.) Model the two forces the rope exerts on the beam as a single equivalent force and couple moment acting at point B. Enter your answer in Cartesian components. c.) Model the two forces the rope exerts on the beam as a single equivalent force (no couple) and determine the distance from A to the point along the beam where the equivalent force acts (measured parallel to the beam from A ). Enter your answer in Cartesian components. 5 BY NC SA 2013 Michael Swanbom с frictionless pulley winch d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.00 m b 3.75 m с 1.95 m d 5.40 m a.) The tension in the rope is b.) The equivalent force and couple system acting at B → consists of a force F. eq = + and a couple Meq = j) N, N-m. N. c.) The tension forces can also be modeled by an equivalent force of F = eq acting at a point beam from A. 2 + N meters along the

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.77P: The cable AOB weighs 5.2 N/m. When the horizontal 30-N force is applied to the roller support at B,...
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The beam ABC has a mass of 79.0 kg and is supported by the rope BDC that runs through the frictionless pulley at D . The winch at C has a mass of 36.5 kg. The tension in the rope acts on the beam at points B and C and counteracts the moments due to the beam's weight (acting vertically at the midpoint of its length) and the weight of the winch (acting vertically at point C) such that the resultant moment about point A is equal to zero. Assume that rope segment CD is vertical and note that rope segment BD is NOT necessarily perpendicular to the beam. a.) Compute the tension in the rope. b.) Model the two forces the rope exerts on the beam as a single equivalent force and couple moment acting at point B. Enter your answer in Cartesian components. c.) Model the two forces the rope exerts on the beam as a single equivalent force (no couple) and determine the distance from A to the point along the beam where the equivalent force acts (measured parallel to the beam from A ). Enter your answer in Cartesian components. 5 BY NC SA 2013 Michael Swanbom с frictionless pulley winch d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.00 m b 3.75 m с 1.95 m d 5.40 m a.) The tension in the rope is b.) The equivalent force and couple system acting at B → consists of a force F. eq = + and a couple Meq = j) N, N-m. N. c.) The tension forces can also be modeled by an equivalent force of F = eq acting at a point beam from A. 2 + N meters along the
Transcribed Image Text:The beam ABC has a mass of 79.0 kg and is supported by the rope BDC that runs through the frictionless pulley at D . The winch at C has a mass of 36.5 kg. The tension in the rope acts on the beam at points B and C and counteracts the moments due to the beam's weight (acting vertically at the midpoint of its length) and the weight of the winch (acting vertically at point C) such that the resultant moment about point A is equal to zero. Assume that rope segment CD is vertical and note that rope segment BD is NOT necessarily perpendicular to the beam. a.) Compute the tension in the rope. b.) Model the two forces the rope exerts on the beam as a single equivalent force and couple moment acting at point B. Enter your answer in Cartesian components. c.) Model the two forces the rope exerts on the beam as a single equivalent force (no couple) and determine the distance from A to the point along the beam where the equivalent force acts (measured parallel to the beam from A ). Enter your answer in Cartesian components. 5 BY NC SA 2013 Michael Swanbom с frictionless pulley winch d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.00 m b 3.75 m с 1.95 m d 5.40 m a.) The tension in the rope is b.) The equivalent force and couple system acting at B → consists of a force F. eq = + and a couple Meq = j) N, N-m. N. c.) The tension forces can also be modeled by an equivalent force of F = eq acting at a point beam from A. 2 + N meters along the
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