How to Find Tension in a String on an Inclined Plane: Physics Homework Help

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To find the tension in the string connecting a 6.0 kg box on a 44-degree incline to a 1.5 kg hanging weight, the first scenario involves the box being held stationary, where the tension equals the component of the gravitational force acting down the slope. In this case, tension can be calculated using T = m * g * sin(θ) for the box on the incline. Once the box begins to move, the tension will change due to the acceleration of both masses, requiring the application of Newton's second law to both the inclined box and the hanging weight. A free body diagram is essential to visualize the forces acting on both masses and to derive the correct equations for tension in both scenarios. Understanding these principles will clarify the setup needed to solve the problem accurately.
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Homework Statement


A 6.0 box is on a frictionless 44 slope and is connected via a massless string over a massless, frictionless pulley to a hanging 1.5 weight.

1.What is the tension in the string if the 6.0 box is held in place, so that it cannot move?

2.What is the tension in the string once the box begins to move?


Homework Equations


T=m*a


The Attempt at a Solution


I did a free body diagram for the two masses but I missed a day of class and I'm trying to figure out exactly how to set this up to solve it. Any help is appreciated. Thanks

-Chris
 
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Hi fronomo,

fronomo said:

Homework Statement


A 6.0 box is on a frictionless 44 slope and is connected via a massless string over a massless, frictionless pulley to a hanging 1.5 weight.

1.What is the tension in the string if the 6.0 box is held in place, so that it cannot move?

2.What is the tension in the string once the box begins to move?


Homework Equations


T=m*a


The Attempt at a Solution


I did a free body diagram for the two masses but I missed a day of class and I'm trying to figure out exactly how to set this up to solve it.

What do you free body diagrams look like? For example, what about the force diagram for the 1.5 (kg?) hanging box look like for the first case? What equation can you get from it?
 

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