a) Explanation Given information: The mass ( m ) of the rod AB is 2.5 kg. The magnitude of the force ( P ) is 8 N. The radius ( r ) of the rod AB is 0.3m. Calculation: Show the free-body diagram of the given system as in Figure (1): Show the kinetic diagram of the given system as in Figure (2): Since the system of external forces is equivalent to the system of effective forces, express the relation as below: ∑ F x = ∑ ( F x ) e f f (1) Take rightward force as positive. Write the expression for sum of the force x component ∑ F x : ∑ F x = P Write the expression for sum of the effective force ∑ ( F x ) e f f : ∑ ( F x ) e f f = m a ¯ Here, a ¯ acceleration of the rod AB . Substitute P for ∑ F x and m a ¯ for ∑ ( F x ) e f f in Equation (1) b) To determine The reaction at A ( A ¯ ) and B ( B ¯ ) .

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

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 16.4P

To determine

The acceleration (a¯) of the rod.

To determine

The reaction at A (A¯) and B(B¯).

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Chapter 16.1, Problem 16.3P

Chapter 16.1, Problem 16.5P

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Vector Mechanics for Engineers: Statics and Dynamics

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The acceleration ( a ¯ ) of the rod.