Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 9, Problem 17P

A cantilever beam is subjected to a quadratic distributed load, as shown in Fig. P9.17.

Chapter 9, Problem 17P, A cantilever beam is subjected to a quadratic distributed load, as shown in Fig. P9.17. Determine

  1. Determine the total resultant force, R = 0 l w ( x ) d x .
  2. Determine the x-location of the resultant R; i.e., determine the centroid of the area under the distributed load, x ¯ = 0 l w ( x ) d x R .

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Chapter 9 Solutions

Introductory Mathematics for Engineering Applications

Ch. 9 - Repeat the problem P9-10 if the shaded area of the...Ch. 9 - Repeat the problem P9-10 if the shaded area of the...Ch. 9 - Repeat the problem P9-10 if the geomectry of a...Ch. 9 - The cross section of an airfoil is described by...Ch. 9 - The geometry of a decorative heat-sink fin of...Ch. 9 - The geometry of a gear tooth is approximated by...Ch. 9 - A cantilever beam is subjected to a quadratic...Ch. 9 - A simply supported beam is subjected to a...Ch. 9 - Determine the velocity v(t) and the position y(t)...Ch. 9 - A particle starts from rest at a position x(0)=0....Ch. 9 - The acceleration of an automobile is measured as...Ch. 9 - A vehicle starting from rest at position x(0)=0 is...Ch. 9 - A vehicle starting from rest at position x(0)=0 is...Ch. 9 - A vehicle starting from rest at position x(0)=0 is...Ch. 9 - The current flowing in a resistor is given by...Ch. 9 - The RLC circuit shown in Fig,. P9.26 has R=10,...Ch. 9 - An input voltage vin=10sin(10t)V is applied to an...Ch. 9 - Repeat problem P9-27 if vin=10e10tV.Ch. 9 - Repeat problem P9-27 if vin=10(1cos(100t))V.Ch. 9 - An input voltage vin=5cos(20t)V is applied to an...Ch. 9 - A current i(t)=10e10tmA is applied to a 100F...Ch. 9 - For the circuit shown in Fig. P9.32, the voltage...Ch. 9 - The sawtooth current i(t) shown in Fig. 9.33 is...Ch. 9 - The sawtooth voltage v(t) shown in Fig. 9.34 is...Ch. 9 - A current i(t) is applied to a capacitor of...Ch. 9 - A biomedical engineer is evaluating an...Ch. 9 - A biomedical engineer measures the velocity...Ch. 9 - A civil engineer designs a building overhung to...Ch. 9 - A building overhang is subjected to a parabolic...
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