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The Force vs extension graph for ductile materials typically shows a linear region at the beginning, where the material is elastically deforming without permanent damage. This is followed by a plastic region, where the material begins to permanently deform until it eventually reaches failure. The graph usually exhibits a necking effect in the plastic region due to localized thinning of the material.
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What quantity does the gradient of a force against extension graph represent?
The gradient of a force against extension graph represents the spring constant (stiffness) of the spring. It indicates how much force is required to produce a certain amount of extension in the spring. A steeper gradient indicates a higher spring constant.
What is the relationship between extension and mass?
The relationship between extension and mass is described by Hooke's Law, which states that the extension of a spring is directly proportional to the force applied to it, as long as the elastic limit of the material is not exceeded. This means that the greater the mass attached to the spring, the more it will stretch. The relationship can be expressed mathematically as F = kx, where F is the force applied, k is the spring constant, and x is the extension of the spring.
Why do the load extension graph passes through the origin?
The load extension graph passes through the origin because at the beginning of the test, there is no load applied, so the extension is zero. This is the starting point on the graph where load and extension are proportional to each other before any deformation occurs.
How do you make a force time graph from acceleration time graph?
To create a force-time graph from an acceleration-time graph, you would first integrate the acceleration values to obtain the velocity-time graph, and then integrate the velocity values to get the displacement-time graph. Finally, you can use Newton's second law (F = m*a) to relate the acceleration to the force and derive the force-time graph.
What does the area under the force-distance graph represent?
The area under a force-distance graph represents the work done. It is equal to the force applied multiplied by the distance moved in the same direction as the force.
How do you calculate the ratio of force to extension from the gradient of a graph?
The answer will depend on what variables are graphed!
What quantity does the gradient of a force against extension graph represent?
The gradient of a force against extension graph represents the spring constant (stiffness) of the spring. It indicates how much force is required to produce a certain amount of extension in the spring. A steeper gradient indicates a higher spring constant.
What is a compound bar graph?
A Compound Graph Is An Extension Of a Standard Graph.
What is the relationship between extension and mass?
The relationship between extension and mass is described by Hooke's Law, which states that the extension of a spring is directly proportional to the force applied to it, as long as the elastic limit of the material is not exceeded. This means that the greater the mass attached to the spring, the more it will stretch. The relationship can be expressed mathematically as F = kx, where F is the force applied, k is the spring constant, and x is the extension of the spring.
What does the area under a force-extension graph represent?
The area under a graph of force against distance (or extension, if it's a spring) represents the work done by that force. Since it sounds like you're talking about a spring, you should know that the area would represent the work done to stretch the spring that distance, and also represents the amount of elastic potential energy contained by the spring.
Why do the load extension graph passes through the origin?
The load extension graph passes through the origin because at the beginning of the test, there is no load applied, so the extension is zero. This is the starting point on the graph where load and extension are proportional to each other before any deformation occurs.
How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
Why is the area under the curve for the force graph equal to the impulse?
It is not, if it is a graph of force against acceleration.
What is the difference between hard and tough?
In a stress-strain graph, hard materials have the steepest graph, owing to having the highest young modulus. This is because Hard materials resist a deformation, wether elastic or plastic. So initially the steepest graph in a stress-strain graph is the strongest.Tough materials withstand force, but they do not resist the deformation. The special thing in tough materials is that they can take in a lot of elastic potential energy. In a stress-strain graph, a Tough material has the highest area under curve.A material can be tough without having being hard. A material that is hard is not necessarily tough.
Why the yield point occur in the stress-strain graph of mild steel?
Once material is stressed. dislocations present in it starts to move and gather near grain boundary. These dislocation are repulsive in nature and resist further movement, hence yield point occurs. Once dislocations crosses the grain boundary, there is very less amount of force required to keep them moving, hence yield point phenomenon appears i.e. less amount of force is required.
Can work done be calculated by the gradient force-distance graph?
no, work done is the area under a force-distance graph
How do you make a force time graph from acceleration time graph?
To create a force-time graph from an acceleration-time graph, you would first integrate the acceleration values to obtain the velocity-time graph, and then integrate the velocity values to get the displacement-time graph. Finally, you can use Newton's second law (F = m*a) to relate the acceleration to the force and derive the force-time graph.
