Solve Problem Using D'Alembert's Method of Virtual Works

In summary, the conversation discusses the problem of calculating the acceleration of a mass using the method of virtual works by d'alembert. The given data includes the masses of different objects, their radii, and the angle of rotation. The solution for the acceleration of the mass m1 is 3.90m/s^2. The wheel in question is composed of two coaxial cylinders with different masses and radii. The surface on the right is smooth, while the center has friction, allowing the wheel to roll. The individual is seeking assistance in solving this problem.
  • #1
chimay
81
7
I need someone helps me to solve this problem using method of virtual works by d'alembert.
The datas are:
m1=2kg;m3=4kg;m=0,5kg;M=1.5kg;R=0.6;r=0,2m;[itex]\alpha[/itex]=30°.
One of the requests is to calculate the acceleration of the mass m1, the solution is: 3.90[itex]m/s^2[/itex].
The wheel is formed by two coassial cylinders.
M and R refers to the bigger, m and r to the smaller. On the right the deck is smooth, on the centre there is friction and the wheel rolls.
I hope someone can help me!
 
Last edited:
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  • #2
I'm sorry I did not want to post this. The right one is after this!
 

Related to Solve Problem Using D'Alembert's Method of Virtual Works

What is D'Alembert's Method of Virtual Works?

D'Alembert's Method of Virtual Works is a mathematical technique used to solve problems in mechanics by considering virtual displacements and forces.

How does D'Alembert's Method work?

The method involves setting up a system of equations based on the principle of virtual work, where the virtual displacements and forces are assumed to be in equilibrium. The equations can then be solved to find the unknown quantities.

What types of problems can be solved using D'Alembert's Method?

D'Alembert's Method can be used to solve problems involving rigid bodies in static equilibrium or in motion with constant velocity. It is commonly used in structural analysis and in solving problems related to Newton's laws of motion.

What are the advantages of using D'Alembert's Method?

One major advantage of D'Alembert's Method is that it simplifies complex problems by considering virtual displacements and forces, making it easier to solve problems involving multiple unknowns. It also allows for a more intuitive understanding of the problem and its solution.

Are there any limitations to D'Alembert's Method?

While D'Alembert's Method is a powerful tool for solving mechanics problems, it does have some limitations. It can only be used for problems involving rigid bodies and cannot account for deformation or non-conservative forces. It also assumes that the body is in static equilibrium or moving with constant velocity, so it cannot be used to solve dynamic problems.

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