Meriam, Kraige & Bolton — Statics of Particles: Problem 2_154

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/154 Calculate the moment of the 250-N force about the base point of the robot. Given values from the diagram: Length (vertical link) Length Angle of link with the vertical (): Length Angle of link with the horizontal: Applied force at point : (acting vertically downward) Problem 2/154 1. Establish the Coordinate System and Identify Points Let point be the origin in a 2D Cartesian coordinate system, where the -axis is horizontal and the -axis is vertical. We need to find the horizontal distance from to point to calculate the moment of the vertical force . Point Point is vertically above : Point is at the end of link , which makes an angle of with the vertical: Point is at the end of link , which makes an angle of with the horizontal. Based on the diagram, link extends further to the right from : 2. Calculate the Horizontal Lever Arm () M O O OA=500 mm AB=400 mm ABOAθ = 1 60 ∘ BC=300 mm BCθ = 2 20 ∘ CF=250 N O(0,0)x yO CF O=(0,0) AOA=(0,500) mm BAB60 ∘ x = B 400sin(60) ∘ y = B 500+400cos(60) ∘ CBC20 ∘ BCB x = C x + B 300cos(20) ∘ y = C y + B 300sin(20) (assuming it reaches upwards) ∘ d The moment of a vertical force about a point depends only on the horizontal distance (lever arm) between the point and the line of action of the force. ● Calculation Process 1. Present Final Formula: 2. Substitute Values: 3. Partial Operations: 4. Final Calculation: 3. Calculate the Moment () The magnitude of the moment is the product of the force a