Torque/Shear Force/Bending Moment HELP NEEDED

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In summary, the problem involves finding the necessary torque, T, applied to arm BC in order to lift a 50kg wheel and arm system with a center of mass at G, when D is positioned directly under B at a 30 degree angle. The torque will cause a force tangent to the arm at C, which can be broken down into radial and tangential components at D. The force at D must be greater than the torque created by the masses at point A.
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gymptp
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Homework Statement


A retracting nose wheel assembly is raised by the application of a Torque T applied to link BC through a shaft at B. The wheel and arm AO have a combined mass of 50kg with a centre of mass at G. Find the value of T necessary to lift the wheel when D is directly under B at which position angle theta is 30 degrees.


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The Attempt at a Solution



Having difficulties getting started. Would like some assistance to get started. Feeling very lost at the moment.
 

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  • #2
Well, the torque applied to arm BC is going to cause a force tangent to the arm at C, with a magnitude of torque*length_arm. A component of that force will travel along arm CD. You now have a force at point D, with a vector pointing towards C.

From here, you break 'that' force into components, one is acting radially AG, one is acting tangentially. That force*length_AD must be greater than the torque that the masses create around point A.

If it's me, I first see what force at D is needed to overcome the mass. Then I see what force along arm CD is needed to get that particular component. Then backwards again through BC.
 
  • #3


it is important to approach problems with a systematic and analytical mindset. The first step would be to clearly understand the problem and identify the given information. In this case, we have a retracting nose wheel assembly that is being raised by the application of a torque T applied to link BC through a shaft at B. We also know that the wheel and arm AO have a combined mass of 50kg with a center of mass at G.

The next step would be to draw a diagram to better visualize the problem. From the given information, we can draw a free body diagram of the assembly, with the weight of the wheel and arm acting downwards at point G, and the torque T acting at point B. We also know that the angle between the torque and the arm AO is 30 degrees.

Next, we can apply the principles of torque, shear force, and bending moment to solve for the value of T. Torque is the measure of the force that causes an object to rotate around an axis, and it is calculated by multiplying the force by the distance from the axis of rotation. Shear force is the force that acts perpendicular to the axis of an object, while bending moment is the measure of the force that causes an object to bend.

We can use the equation T = F x d to calculate the torque T, where F is the force and d is the distance from the axis of rotation. In this case, the force F is the weight of the wheel and arm, and the distance d is the distance between point B and the center of mass G.

To calculate the bending moment, we can use the equation M = F x d x sin(theta), where F is the force, d is the distance from the axis of rotation, and theta is the angle between the force and the axis of rotation. In this case, the force F is the torque T, and the distance d is the length of the arm AO.

Using these equations, we can solve for the value of T required to lift the wheel when D is directly under B at an angle of 30 degrees. It is important to note that we may need to consider other factors such as the material properties of the assembly and the effects of friction. It may also be helpful to break down the problem into smaller parts and solve them individually before combining the solutions.

In conclusion, with a systematic and analytical approach, we can use the principles of torque, shear force
 

1. What is torque and why is it important?

Torque is a measure of the tendency of a force to rotate an object about an axis. It is important because it helps us understand how forces act on objects and can be used to calculate the rotational motion of an object.

2. How is shear force different from bending moment?

Shear force is the force that is acting perpendicular to the surface of an object, while bending moment is the force that is trying to bend the object. In other words, shear force is the force that is trying to cut the object in half and bending moment is the force that is trying to break the object.

3. How do I calculate shear force and bending moment?

Shear force and bending moment can be calculated by analyzing the forces and moments acting on an object. The shear force at any point is equal to the sum of all the forces acting on one side of the point, while the bending moment at any point is equal to the sum of all the moments acting on one side of the point.

4. What are some real-world applications of torque, shear force, and bending moment?

Torque, shear force, and bending moment are important concepts in the fields of engineering and physics. They are used in the design of structures and machines, such as bridges, buildings, and engines. They are also important in understanding the behavior of materials, such as in the study of fractures and deformation.

5. How can I determine the maximum shear force and bending moment in a structure?

The maximum shear force and bending moment in a structure can be determined by analyzing the forces and moments acting on the structure and finding the points where they are the highest. This can be done using mathematical equations or by using software tools that can simulate and analyze the structure's behavior under different loads.

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