bridge, with L, consists of a weight neld up one suppor and a second support 80% of the way across the bridge. As shown in the picture, a truck with a weight of mg = 12.0 kN is driving from left to right across the bridge. 0.4L horizontal slab mg| 0.2L 0.2L (a) Once the truck is completely off the bridge, how much force will the left support exert on the horizontal slab? We're looking for an answer in kilonewtons (kN), which is what values are given in above. kN (b) When the truck is at the position shown, where its full weight can be taken to act at a point 40% of the way across the bridge, calculate the force that each support exerts on the horizontal slab. We're looking for two answers-the value of each of the support forces. The force exerted by the left support is kN. The force exerted by the right support is kN. (c) As the truck continues to drive to the right across the bridge, what will happen to the magnitudes of the support forces? Select all the correct statements, assuming the truck is entirely on the bridge. O The left support force will increase. O The left support force will decrease. O The right support force will increase. O The right support force will decrease. O Both support forces will increase. O Both support forces will decrease. O Neither support force will change. (d) At the instant the truck's weight is directly above the right support, what is the magnitude of the force the right support exerts on the horizontal slab? kN
bridge, with L, consists of a weight neld up one suppor and a second support 80% of the way across the bridge. As shown in the picture, a truck with a weight of mg = 12.0 kN is driving from left to right across the bridge. 0.4L horizontal slab mg| 0.2L 0.2L (a) Once the truck is completely off the bridge, how much force will the left support exert on the horizontal slab? We're looking for an answer in kilonewtons (kN), which is what values are given in above. kN (b) When the truck is at the position shown, where its full weight can be taken to act at a point 40% of the way across the bridge, calculate the force that each support exerts on the horizontal slab. We're looking for two answers-the value of each of the support forces. The force exerted by the left support is kN. The force exerted by the right support is kN. (c) As the truck continues to drive to the right across the bridge, what will happen to the magnitudes of the support forces? Select all the correct statements, assuming the truck is entirely on the bridge. O The left support force will increase. O The left support force will decrease. O The right support force will increase. O The right support force will decrease. O Both support forces will increase. O Both support forces will decrease. O Neither support force will change. (d) At the instant the truck's weight is directly above the right support, what is the magnitude of the force the right support exerts on the horizontal slab? kN
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Title: Understanding Support Forces on a Bridge**
A particular bridge, with a length \( L \), consists of a horizontal slab with a weight of 50.0 kN, with the weight uniformly distributed. The slab is held up by one support 20% of the way across the bridge (\( 0.2L \)), and a second support 80% of the way across the bridge (\( 0.8L \)). As shown in the diagram, a truck with a weight of \( mg = 12.0 \) kN is driving from left to right across the bridge.
**Diagram Explanation:**
- The horizontal slab is shown with the positioning of supports and the truck indicated.
- The left support is positioned at \( 0.2L \).
- The truck is placed at a position where its weight acts 40% across the bridge (\( 0.4L \)).
- The right support is positioned at \( 0.8L \).
**Questions:**
(a) Once the truck is completely off the bridge, how much force will the left support exert on the horizontal slab? Enter the answer in kilonewtons (kN).
[Input Box] kN
(b) When the truck is at the position shown, where its full weight acts at a point 40% of the way across the bridge, calculate the forces that each support exerts on the horizontal slab.
- Force exerted by the left support: [Input Box] kN
- Force exerted by the right support: [Input Box] kN
(c) As the truck continues to drive to the right across the bridge, what will happen to the magnitudes of the support forces? Select all the correct statements, assuming the truck is entirely on the bridge.
- [ ] The left support force will increase.
- [ ] The left support force will decrease.
- [ ] The right support force will increase.
- [ ] The right support force will decrease.
- [ ] Both support forces will increase.
- [ ] Both support forces will decrease.
- [ ] Neither support force will change.
(d) At the instant the truck's weight is directly above the right support, what is the magnitude of the force the right support exerts on the horizontal slab?
[Input Box] kN
**Discussion:**
This exercise helps in understanding how distributed loads and point loads influence support reactions in statically determinate structures. Analyzing](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ea9d1b2-8f99-46bf-8a92-8bbfd1b1e697%2Fe72c60d5-75b1-4345-b17b-1d7479eabfe2%2Ffnhpwag_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Support Forces on a Bridge**
A particular bridge, with a length \( L \), consists of a horizontal slab with a weight of 50.0 kN, with the weight uniformly distributed. The slab is held up by one support 20% of the way across the bridge (\( 0.2L \)), and a second support 80% of the way across the bridge (\( 0.8L \)). As shown in the diagram, a truck with a weight of \( mg = 12.0 \) kN is driving from left to right across the bridge.
**Diagram Explanation:**
- The horizontal slab is shown with the positioning of supports and the truck indicated.
- The left support is positioned at \( 0.2L \).
- The truck is placed at a position where its weight acts 40% across the bridge (\( 0.4L \)).
- The right support is positioned at \( 0.8L \).
**Questions:**
(a) Once the truck is completely off the bridge, how much force will the left support exert on the horizontal slab? Enter the answer in kilonewtons (kN).
[Input Box] kN
(b) When the truck is at the position shown, where its full weight acts at a point 40% of the way across the bridge, calculate the forces that each support exerts on the horizontal slab.
- Force exerted by the left support: [Input Box] kN
- Force exerted by the right support: [Input Box] kN
(c) As the truck continues to drive to the right across the bridge, what will happen to the magnitudes of the support forces? Select all the correct statements, assuming the truck is entirely on the bridge.
- [ ] The left support force will increase.
- [ ] The left support force will decrease.
- [ ] The right support force will increase.
- [ ] The right support force will decrease.
- [ ] Both support forces will increase.
- [ ] Both support forces will decrease.
- [ ] Neither support force will change.
(d) At the instant the truck's weight is directly above the right support, what is the magnitude of the force the right support exerts on the horizontal slab?
[Input Box] kN
**Discussion:**
This exercise helps in understanding how distributed loads and point loads influence support reactions in statically determinate structures. Analyzing
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