Physics

To find the tension in the rope, we can follow these steps:

1. Calculate the weight of the crate:

 

2. Calculate the normal force :

The vertical component of the tension reduces the normal force. The vertical component of the tension can be expressed as:

 

Thus, the normal force is given by:

 

Since :

 

3. Calculate the frictional force :

The frictional force is given by:

 

Substituting the expression for :

 

4. Write the equation of motion:

According to Newton's second law:

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