How Do You Calculate Tension and Acceleration in a Two-Block Pulley System?

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The discussion revolves around a two-block pulley system involving a block on an inclined plane and a hanging block. The problem includes calculating the acceleration of the blocks and the tension in the connecting string, given specific weights and a coefficient of friction.

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Approaches and Questions Raised

  • Participants discuss the relationship between the two blocks, noting that they must share the same acceleration due to the connecting string. Questions arise regarding the forces acting on each block, particularly the tension and gravitational forces, as well as how to determine the net force acting on the system.

Discussion Status

Some participants have offered guidance on identifying the forces acting on the blocks and suggested equations to relate tension and acceleration. There is an ongoing exploration of the components of forces, especially for the block on the incline, and the discussion reflects a collaborative effort to clarify the problem setup.

Contextual Notes

Participants are working with specific values for weights and angles, as well as a coefficient of friction, which may influence their calculations. The problem setup includes assumptions about the system's constraints, such as the nature of the pulley and the connection between the blocks.

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consider the two body system above. a 22.7N block is placed upon an inclined plane which is inclined at a 17.2 degree angle. The block is attached by a string to a 34.5N block which is suspended over the pulley. the coefficient of friction( arrow pointing) is 0.219.

Determine the acceleration of the block and the tension in the strings
 
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Hi moe6142, welcome to PF.
Since the single rope is connecting the two masses, they must have the same acceleration. And tension in the two segments of the string must be the same.
Now find out the forces acting on each mass and find the acceleration.
 
the Force of tension and gravity are acting upon the hanging object

Fg on the hanging block would be 34.5N

since i am trying to find acceleration, so i have to find the Fnet .. how would i do that
 
For hanging mass
mg - T = ma.
Now find the forces acting on the mass placed on the inclined plane.
What is the frictional force? What are the components on weight along the inclined plane and perpendicular to the plane?
 

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