Meriam, Kraige & Bolton — Statics of Particles: Problem 2_143

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/143 The floor exerts the four indicated forces on the wheels of an engine hoist. Determine the location in the x-y plane at which the resultant of the forces acts. Problem 2/143 ● 1. Data Analysis and Problem Reconstruction The problem asks for the location of the resultant of four vertical forces acting on the wheels of an engine hoist. Based on the provided diagram, we identify the magnitude and position of each force. The origin is located at the center of the rear cross-member. The - axis is the longitudinal centerline pointing forward, and the -axis points toward the left (meaning left is positive and right is negative ). Wheel A (Front Left): , , Wheel B (Rear Left): , , Wheel C (Front Right): , , Wheel D (Rear Right): , , All forces act vertically upward, which corresponds to the direction. ● 2. Calculate the Resultant Force Magnitude 1. Present Final Formula: 2. Substitute Values: 3. Final Calculation: ● 3. Calculate the x-coordinate of the Resultant () (, )xˉyˉ Oy x xx F = A 60 lbx = A 24 iny = A 80 in F = B 30 lbx = B 16 iny = B 0 in F = C 210 lbx = C −19 iny = C 76 in F = D 270 lbx = D −20 iny = D 0 in +z R=F ∑ i R=F + A F + B F + C F = D 60 lb+30 lb+210 lb+270 lb R=570 lb xˉ The x-coordinate is found by setting the moment of the resultant about the -axis equal to the sum of the moments of the individual forces about the same axis. 1. Present Final Formula: 2. Substitute Values: 3. Partial Operations: 4. Final Calcula