(a) Explanation Given information: The magnitude of force applied at the point A ( P ) is 0.25 lb. The weight of the rod AB ( W ) is 1.75 lb. The length of the rod AB ( L ) is 36 in . Calculation: Assume the acceleration due to gravity ( g ) as 32.2 ft / s 2 . Convert the unit of the length of the rod AB ( L ): L = 36 in . × 1 ft 12 in . = 3 ft Calculate the mass of the rod ( m ): m = W g Substitute 1.75 lb for W and 32.2 ft / s 2 for g . m = 1.75 32.2 lb ⋅ s 2 / ft Calculate the mass moment of inertia of the rod ( I ¯ ) : I ¯ = 1 12 m L 2 Substitute 1.75 32.2 lb ⋅ s 2 / ft for m and 3 ft for L . I ¯ = 1 12 × 1.75 32.2 × 3 2 = 40.76 × 10 − 3 lb ⋅ s 2 ⋅ ft Show the free body diagram of the rod AB as in Figure (1). Here, a is the acceleration of the rod AB and α is the angular acceleration of rod AB . Refer to Figure (1), Consider clockwise as positive. Calculate the moment about point G by applying the equation of equilibrium: Equate external force moment to effective force moment. ∑ M G = ∑ ( M G ) eff ( P × L 2 ) = I ¯ α Substitute 3 ft for L , 0.25 lb for P , and 40.76 × 10 − 3 lb ⋅ s 2 ⋅ ft for I ¯ (b) To determine The acceleration of the point B ( a B ) . (c) To determine The location of the point on the bar that has zero acceleration ( z P ) .

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 16.1, Problem 16.48P

(a)

To determine

The acceleration of the point A (aA).

(b)

To determine

The acceleration of the point B (aB).

(c)

To determine

The location of the point on the bar that has zero acceleration (zP).

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Chapter 16.1, Problem 16.47P

Chapter 16.1, Problem 16.49P

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Chapter 16 Solutions

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

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The acceleration of the point A ( a A ) .

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The acceleration of the point A (aA).

The acceleration of the point B (aB).

The location of the point on the bar that has zero acceleration (zP).

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Chapter 16 Solutions