College Physics: A Strategic Approach (3rd Edition)
College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter P.1, Problem 17P

Bending Beams

If you bend a rod down, it compresses the lower side of the rod and stretches the top, resulting in a restoring force. Figure I.4 shows a

FIGURE 1.4

Chapter P.1, Problem 17P, Bending Beams If you bend a rod down, it compresses the lower side of the rod and stretches the top,

beam of length L, width w, and thickness t fixed at one end and free to move at the other. Deflecting the end of the beam causes a restoring force F at the end of the beam. The magnitude of the restoring force F depends on the dimensions of the beam, the Young’s modulus Y for the material, and the deflection d. For small values of the deflection, the restoring force is

F = [ Y w t 3 4 L 3 ] d

This is similar to the formula for the restoring force of a spring, with the quantity in brackets playing the role of the spring constant k.

When a 70 kg man stands on the end of a springboard (a type of diving board), the board deflects by 4.0 cm.

If a 35 kg child stands at the end of the board, the deflection is

A. 1.0 cm.

B. 2.0 cm.

C. 3.0 cm.

D. 4.0 cm.

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Chapter P Solutions

College Physics: A Strategic Approach (3rd Edition)

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