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.
A 70 kg man jumps up and lands on the end of the board, deflecting it by 12 cm. At this instant, what is the approximate magnitude of the upward force the board exerts on his feet? A. 700 A. 700 N
B. 1400 N
C. 2100N
D. 2800 N
Want to see the full answer?
Check out a sample textbook solutionChapter P Solutions
College Physics: A Strategic Approach (3rd Edition)
Additional Science Textbook Solutions
Campbell Biology: Concepts & Connections (9th Edition)
Biology: Life on Earth with Physiology (11th Edition)
Human Anatomy & Physiology (2nd Edition)
Campbell Essential Biology with Physiology (5th Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
- No chatgpt pls will upvotearrow_forwardthe cable may break and cause severe injury. cable is more likely to break as compared to the [1] ds, inclined at angles of 30° and 50° to the vertical rings by way of a scaled diagram. [4] I 30° T₁ 3cm 3.8T2 cm 200 N 50° at it is headed due North and its airspeed indicat 240 km/h. If there is a wind of 100 km/h from We e relative to the Earth? [3]arrow_forwardCan you explain this using nodal analysis With the nodes I have present And then show me how many KCL equations I need to write, I’m thinking 2 since we have 2 dependent sourcesarrow_forward
- The shear leg derrick is used to haul the 200-kg net of fish onto the dock as shown in. Assume the force in each leg acts along its axis. 5.6 m. 4 m- B Part A Determine the compressive force along leg AB. Express your answer to three significant figures and include the appropriate units. FAB = Value Submit Request Answer Part B Units ? Determine the compressive force along leg CB. Express your answer to three significant figures and include the appropriate units. FCB= Value Submit Request Answer Part C ? Units Determine the tension in the winch cable DB. Express your answer with the appropriate units. 2marrow_forwardPart A (Figure 1) shows a bucket suspended from a cable by means of a small pulley at C. If the bucket and its contents have a mass of 10 kg, determine the location of the pulley for equilibrium. The cable is 6 m long. Express your answer to three significant figures and include the appropriate units. Figure 4 m B НА x = Value Submit Request Answer Provide Feedback < 1 of 1 T 1 m Units ?arrow_forwardThe particle in is in equilibrium and F4 = 165 lb. Part A Determine the magnitude of F1. Express your answer in pounds to three significant figures. ΑΣΦ tvec F₁ = Submit Request Answer Part B Determine the magnitude of F2. Express your answer in pounds to three significant figures. ΑΣΦ It vec F2 = Submit Request Answer Part C Determine the magnitude of F3. Express your answer in pounds to three significant figures. ? ? lb lb F₂ 225 lb 135° 45° 30° -60°-arrow_forward
- The 10-lb weight is supported by the cord AC and roller and by the spring that has a stiffness of k = 10 lb/in. and an unstretched length of 12 in. as shown in. Part A Determine the distance d to maintain equilibrium. Express your answer in inches to three significant figures. 節 ΕΠΙ ΑΣΦ d = *k J vec 5 t 0 ? d C A in. 12 in. Barrow_forwardThe members of a truss are connected to the gusset plate as shown in . The forces are concurrent at point O. Take = 90° and T₁ = 7.5 kN. Part A Determine the magnitude of F for equilibrium. Express your answer to three significant figures and include the appropriate units. F = Value Submit Request Answer Part B 0 ? Units Determine the magnitude of T2 for equilibrium. Express your answer to three significant figures and include the appropriate units. ? T₂ = Value Units T₁ Carrow_forwardpls help on botharrow_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