Angular acceleration and tension

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SUMMARY

The discussion focuses on a physics problem involving two blocks connected by a massless string over a solid disk pulley. The blocks have masses of 2.00 kg and 6.00 kg, with a pulley mass of 10 kg and a radius of 0.25 m. The angle of the wedge is 30 degrees, and the coefficient of friction for both blocks is 0.360. To find the acceleration of the blocks, the equation m_2*g*cos(30) - friction of M_1 - friction of M_2 is proposed, while tension equations are discussed, emphasizing the need to account for the angular acceleration of the pulley due to its moment of inertia.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of angular motion and moment of inertia
  • Familiarity with frictional forces and their calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the equations of motion for connected systems with pulleys
  • Learn how to calculate moment of inertia for different shapes
  • Explore the relationship between linear and angular acceleration
  • Practice solving problems involving friction on inclined planes
USEFUL FOR

Students preparing for physics exams, particularly those focusing on mechanics involving pulleys and friction, as well as educators teaching these concepts in a classroom setting.

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A block of mass 2.00 kg and a block of mass 6.00 kg are connected by a massless string over a pulley in the shape of a solid disk having a radius of .25 m and mass 10 kg. These blocks are allowed to move on a fixed block-wedge of angle 30 degrees. Friction = .360 for both blocks.

Ok I don't have a scanner but do you get the picture? The 2 kg block is sitting on a flat surface and the other is sitting on a 30 degree surface attached by a string that goes over a pulley at the change in slope point.

I basically know the set up but having problems with making a equation. The first part is to find the acceleration of the blocks. This would be m_2*g*cos(30)-friction of M_1- friction of M_2. Is this right?

The second part is the tension of the strings on both sides of the pulley. All I can think of is T=m(g-a)

Please help need to understand finals next week.
 
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Ok tension on M_1 has something to do with the pulley and T on m_2 should be greater but what is the equation? M_2 is the equation above but what is the other?
 
You are forgetting the angular acceleration of the pulley. The pulley is not massless, so it has a moment of inertia which you can determine from its mass, size and shape.

The linear accelerations of the two blocks are equal, but the tensions in the string on each side of the pulley are not equal, so you can make two equations for the accelerations of the two blocks, and one for the angular acceleration of the pulley.
 

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