
Find the magnitude of the force exerted on the rod A

Answer to Problem 2.51P
The magnitude of the force exerted on the rod A
Explanation of Solution
Given information:
The force (P) is 500 lb.
The force (Q) is 650 lb.
The angle
The angle
Calculation:
Show the free body diagram as in Figure 1.
Write the vector for force P
Calculate the x component of force
Substitute 650 lb for
Calculate the force
Substitute 650 lb for
Write the vector
Substitute 417.8119 lb for
Write the vector for
Substitute
Write the vector for
Write the expression for the resultant force
Substitute
Calculate the magnitude of the force exerted on the rod A
Solve for j component in equation (1).
Calculate the magnitude of the force exerted on the rod B
Solve for i component in equation (1).
Substitute 1302.70 lb for
Therefore, the magnitude of the force exerted on the rod A
Want to see more full solutions like this?
Chapter 2 Solutions
Vector Mechanics for Engineers: Statics, 11th Edition
- Determine the magnitude of the minimum force P needed to prevent the 20 kg uniform rod AB from sliding. The contact surface at A is smooth, whereas the coefficient of static friction between the rod and the floor is μs = 0.3.arrow_forwardDetermine the magnitudes of the reactions at the fixed support at A.arrow_forwardLet Hill frame H = {i-hat_r, i-hat_θ, i-hat_h} be the orbit frame of the LMO satellite. These base vectors are generally defined as:i-hat_r = r_LM / |r_LM|, i-hat_theta = i-hat_h X i-hat_r, i-hat_h = r_LM X r-dot_LMO /( | r_LM X r-dot_LMO | ) How would you: • Determine an analytic expressions for [HN]arrow_forward
- De Moivre’s Theoremarrow_forwardhand-written solutions only, please.arrow_forwardDetermine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy=30 kN and Qz=20Q_z = 20Qz=20 kN. Also, calculate qmaxq_{\max}qmax and τmax\tau_{\max}τmax. Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz=6×106 mm4^44. Additional parameters:αy=0.5714\alpha_y = 0.5714αy=0.5714,αz=0.2885\alpha_z = 0.2885αz=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974. (Check hint: τmax\tau_{\max}τmax should be approximately 30 MPa.)arrow_forward
- hand-written solutions only, please.arrow_forwardIn the bending of a U-profile beam, the load path passes through the torsional center C, causing a moment of 25 kNm at the cross-section under consideration. Additionally, the beam is subjected to an axial tensile force of 100 kN at the centroid. Determine the maximum absolute normal stress.(Check hint: approximately 350 MPa, but where?)arrow_forward### Make an introduction to a report of a rocket study project, in the OpenRocket software, where the project consists of the simulation of single-stage and two-stage rockets, estimating the values of the exhaust velocities of the engines used, as well as obtaining the graphs of "altitude", "mass ratio x t", "thrust x t" and "ψ × t".arrow_forward
- A 6305 ball bearing is subjected to a steady 5000-N radial load and a 2000-N thrust load and uses a very clean lubricant throughout its life. If the inner race angular velocity is 500 rpm find The equivalent radial load the L10 life and the L50 lifearrow_forwardWhere on the below beam is the Maxiumum Slope likely to occur? C A; Атят Barrow_forwardWhat is the moment of Inertia of this body? What is Ixx, Iyy, and Izzarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY





