Explanation The forces acting on the aircraft connection are P and Q . The tension in the roads A and B are T A and T B respectively. The force P has a magnitude 600 lb and Q has a magnitude 800 lb . The free body diagram of the aircraft connection shown in Fig. P2.51 is given in Figure 1. When the system is in mechanical equilibrium, the algebraic sum of all the forces acting on the body will be zero. Write the expression for the condition for equilibrium for the given system. P + Q + T A + T B = 0 (I) In terms of x and y components, the equation (I) can be written as, − P j ^ − ( Q cos 30 ° ) i ^ + ( Q sin 30 ° ) j ^ + ( T A cos 60 ° ) i ^ + ( T A sin 60 ° ) j ^ + ( T B ) i ^ = 0 (II) Here, i ^ is the unit vector along the x direction and j ^ is the unit vector along the y direction. In order to satisfy the equilibrium condition along each x and y direction, the sum of all x components of the forces and the sum of all y component forces must be separately equal to zero. Write the equilibrium condition in the y direction for the system from equation (II). − P + Q sin 30 ° + T A sin 60 ° = 0 (III) Write the equilibrium condition in the x direction for the system from equation (II)

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259977251

Author: BEER

Publisher: MCG

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Chapter 2.3, Problem 2.51P

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The tension in the rods A and B of the aircraft connection.

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Vector Mechanics for Engineers: Statics and Dynamics

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The tension in the rods A and B of the aircraft connection.

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