
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
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
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 the board is replaced by one that is half the length but otherwise identical, how much will it deflect when a 70 kg man stands on the end?
A. 0.50 cm
B. 1.0 cm
C. 2.0 cm
D. 4.0 cm

Want to see the full answer?
Check out a sample textbook solution
Chapter P Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
Additional Science Textbook Solutions
Introductory Chemistry (6th Edition)
Chemistry: A Molecular Approach (4th Edition)
Microbiology: An Introduction
Chemistry: The Central Science (14th Edition)
Campbell Essential Biology (7th Edition)
Cosmic Perspective Fundamentals
- In order for Jane to return to base camp, she needs to swing across a river of width D that is filled with alligators. She must swing into a wind exerting constant horizontal force F, F = 110 N, L = 40.0 m, 0 = 50.0°, and her mass to be 50.0 kg. Wind →F Tarzan! Jane (a) with what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.) m/s on a vine having length L and initially making an angle with the vertical (see below figure). Take D = 48.0 m, (b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of 80.0 kg. m/sarrow_forwardR=2.00 12V 2.00 4.00 4.002 What is the current in one of the 4.0 Q resistors? An isolated point charge q is located at point X. Two other points Y and Z are such that YZ2 XY. Y X What is (electric field at Y)/(electric field at Z)?arrow_forwardTwo objects (m₁ = 4.75 kg and m₂ 2.80 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.75-kg object is released from rest at a point h = 4.00 m above the table mg m (a) Determine the speed of each object when the two pass each other. m/s (b) Determine the speed of each object at the moment the 4.75-kg object hits the table. m/s (c) How much higher does the 2.80-kg object travel after the 4.75-kg object hits the table? marrow_forward
- A cell of negligible internal resistance is connected to three identical resistors. The current in the cell is 3.0 A. The resistors are now arranged in series. What is the new current in the cell?arrow_forwardA negatively charged sphere is falling through a magnetic field. north pole of magnet direction of motion south pole of magnet What is the direction of the magnetic force acting on the sphere?arrow_forwardElectrons in a conductor are moving down the page. A proton outside the wire is moving to the right. What is the direction of the magnetic force acting on the proton?arrow_forward
- What is the resistance of an ideal voltmeter and the resistance of an ideal ammeter? Resistance of an ideal voltmeter Resistance of an ideal ammeter infinite A. zero B. zero zero C. infinite infinite D. infinite zeroarrow_forwardvariable resistor with a resistance range of 0 to 6.0 KQ is connected in series with two resistors of fixed value 6.0 KQ. The cell in the circuit has an emf of 18 V and a negligible internal resistance. 18 V X Y 6.0 ΚΩ 6.0 ΚΩ 0 - 6.0 ΚΩ What is the maximum range of potential difference that can be observed between X and Y?arrow_forwardA positive point charge of magnitude 1.0 μC and a point charge q are separated by a distance d. electron 1.0 με An electron is placed at a distance d from the +1.0 μC charge. The electric force on the electron is zero. What is q?arrow_forward
- Two point charges of +4q and -q are placed a fixed distance apart. Where is the electric field strength equal to zero? B. +49 D. A network of three resistors is connected to a cell of emf 12V and internal resistance R of 2.0 Q as shown.arrow_forwardThree point charges of equal magnitude are placed at the vertices of an equilateral triangle. The signs of the charges are shown. Point P is equidistant from the vertices of the triangle. What is the direction of the resultant electric field at P? B.arrow_forwardA magnetic force per unit length F acts on P due to Q. The distance between the wires is increased to 2d and the current in Q is decreased to 1/2. P Q P 12 2d What is the magnetic force per unit length that acts on P due to Q after the changes?arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning





