Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 23, Problem 21P

Use the following data to find the velocity and acceleration at t = 10 seconds:

Time, t, s 0 2 4 6 8 10 12 14 16
Position, x, m 0 0.7 1.8 3.4 5.1 6.3 7.3 8.0 8.4

Use second-order correct

(a) Centered finite-difference,

(b) Forward finite-difference, and

(c) Backward finite-difference methods.

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PROBLEM 1: A 12-lb rod ABC is impacted by a 2-lb object DE as shown. The object embeds into the end of the rod at point C, determine immediately after the impact (a) the angular velocity of the rod ABC, (b) the angular acceleration of the rod ABC, A 2 B Unit: ft (c) the components of the reaction at B. 12 Assume that the object and the rod move as a single body after the impact. Vo = 35 ft/s C E D 6
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