Explanation Given information: The magnitude of force Q is 60 lb . The below figure represent the free body diagram. Figure-(1) Write the coordinates of the points A and B . A = ( x ,20 in,0 ) B = ( 0 , 0 , z ) Write the vector A B → . A B → = ( 0 − x ) i ^ + ( 0 − 20 in ) j ^ + ( z − 0 ) k ^ = − x i ^ − ( 20 in ) j ^ + z k ^ …… (I) Write the expression for modulus of vector. | D → | = ( x ) 2 + ( y ) 2 + ( z ) 2 …… (II) Here, horizontal distance along x axis is x , horizontal distance along y axis is y and horizontal distance along z axis is z from point O and the modulus of the vector is | D → | . Write the expression for unit vector A B ^ . A B ^ = A B → | A B → | …… (III) Here, the unit vector of A B → is A B ^ and the magnitude of A B → is | A B → | . Write the expression for the tension vector T A B → . T A B → = T A B ⋅ A B ^ …… (IV) Here, the tension vector in rod A B is T A B → and the magnitude of tensionis T A B . Write the equilibrium equation at point B . Q + T A B → = 0 …… (V) Write the expression for the equilibrium equation at point A . P + T A B → = 0 …… (VI) Calculation: Substitute ( 9 in ) for x ( − 20 in ) for y , 25 in for | A B → | and A B → for D → To determine (b) The magnitude of force P .

2nd Edition

ISBN: 9780073398167

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek

Publisher: McGraw-Hill Education

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Chapter 2.5, Problem 100P

To determine

(a)

The tension in the rod AB, when x=9 in.

To determine

(b)

The magnitude of force P.

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Chapter 2.5, Problem 99P

Chapter 2.5, Problem 101P

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