Meriam, Kraige & Bolton — Statics of Particles: Problem 2_35

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/35 The 30-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moments of P about point B and about point A. Problem 2/35 (a) Moment of P about point B ● Calculation Process From the problem statement and diagram, the force is applied at point and is perpendicular to the segment . The moment of a force about a point is the product of the force magnitude and the perpendicular distance from the point to the line of action of the force. 1. Present Final Formula: where is the length of the segment . 2. Substitute Values: Given and the length of segment : 3. Final Calculation: Based on the diagram, applying a pull force at point in the direction shown tends to rotate the segment clockwise about point . ● Final Conclusion: The moment of about point is (Clockwise). (b) Moment of P about point A ● Calculation Process To find the moment about point , we can use the scalar components of force and the coordinates of its point of application relative to . We establish a coordinate system with the origin at , the -axis vertical, and the -axis horizontal. From the diagram, PC BC M = B P⋅d BC d BC BC P=30 NBC=1.6 m M = B 30 N⋅1.6 m M= B 48 N⋅m PC BCB PB48 N⋅m AP CA Ayx segment is vertical (), and segment () makes an angle of with the vertical extension of . 1. Determine Coordinates of Point C: Relative to point , point is at . Point is at: 2. Determine Components of Force P: Since segment makes an angle of with t