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 5, Problem 13P
The velocity v of a falling parachutist is given by
where
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In (Figure 1), take m₁ = 4 kg and mB = 4.6 kg.
Determine the z component of the angular momentum Ho of particle A about point O.
Determine the z component of the angular momentum Ho of particle B about point O. Suppose that
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The two disks A and B have a mass of 4 kg and 6 kg,
respectively. They collide with the initial velocities shown. The
coefficient of restitution is e = 0.75. Suppose that
(VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1)
Determine the magnitude of the velocity of A just after impact.
Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis.
Determine the magnitude of the velocity of B just after impact.
Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis.
(VB)1
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Line of impact
A hot plane surface is maintained at 100°C, and it is exposed to air at 25°C.The combined heat transfer coefficient between the surface and the air is 25W/m²·K. (same as above). In this task, you are asked to design fins to cool asurface by attaching 3 cm-long, 0.25 cm-diameter aluminum pin fins (thermalconductivity, k = 237 W/m·K) with a center-to-center distance of 0.6 cm. (Tip:do not correct the length). Determine the rate of heat transfer from thefinned structure to the air for a 1 m x 1 m section of the plate.
Chapter 5 Solutions
Numerical Methods for Engineers
Ch. 5 - 5.1 Determine the real roots...Ch. 5 - 5.2 Determine the real root of:
(a) Graphically....Ch. 5 - 5.3 Determine the real root of:
(a)...Ch. 5 - Determine the roots of f(x)=1221x+18x22.75x3...Ch. 5 - Locate the first nontrivial root of sin x=x2wherex...Ch. 5 - 5.6 Determine the positive real root of (a)...Ch. 5 - 5.7 Determine the real root of:...Ch. 5 - 5.8 Find the positive square root of 18 using the...Ch. 5 - 5.9 Find the smallest positive root of the...Ch. 5 - 5.10 Find the positive real root of using the...
Ch. 5 - 5.11 Determine the real root of: (a) analytically...Ch. 5 - 5.12 Given
Use bisection to determine the...Ch. 5 - 5.13 The velocity v of a falling parachutist is...Ch. 5 - 5.14 Use bisection to determine the drag...Ch. 5 - As depicted in Fig. P5.15, the velocity of water,...Ch. 5 - 5.16 Water is flowing in a trapezoidal channel at...Ch. 5 - 5.17 You are designing a spherical tank (Fig....Ch. 5 - The saturation concentration of dissolved oxygen...Ch. 5 - 5.19 According to Archimedes principle, the...Ch. 5 - 5.20 Perform the same computation as in Prob....Ch. 5 - 5.21 Integrate the algorithm outlined in Fig. 5.10...Ch. 5 - Develop a subprogram for the bisection method that...Ch. 5 - 5.23 Develop a user-friendly program for the...Ch. 5 - Develop a subprogram for the false-position method...Ch. 5 - 5.25 Develop a user-friendly subprogram for the...Ch. 5 - 5.26 Develop a function for bisection in a similar...
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