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The magnitude of P and Q.
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Answer to Problem 2.136RP
The magnitude of P and Q are
Explanation of Solution
Given information:
The weight (W) is 376 N.
Calculation:
Draw the free body diagram of point A as in Figure (1).
The force applied at the point A is
Write vector form of P as below:
Write vector form of Q as below:
Write vector form of W as below:
Since the tension in cable AB and AC is equal,
Express the vector
Calculate distance of the member AB as below:
Calculate the unit vector
Substitute
Calculate the tension force
Substitute
Express the vector
Calculate distance of the member AC as below:
Calculate the unit vector
Substitute
Calculate the tension force
Substitute
Calculate the tension in the cable using the relation:
Use the equilibrium condition,
Substitute
Equate the component i, j and k to zero,
Calculate tension in cable (T) as below:
Solve Equation (2).
Calculate magnitude of P as below:
Substitute 220.5 N for T in Equation (1).
Calculate magnitude of Q as below:
Substitute 220.5 N for T in Equation (2).
Thus, the magnitude P and Q are
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Chapter 2 Solutions
Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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