Two blocks with masses 1 and 2 are connected by a massless string that passes over a massless pulley as shown. 1 has a mass of 2.25 kg and is on an incline of 1=43.5∘ with coefficient of kinetic friction 1=0.205 . 2 has a mass of 5.45 kg and is on an incline of 2=32.5∘ with coefficient of kinetic friction 2=0.105 . The two‑block system is in

The acceleration of is  

Explanation:

From the question we are told that

    The mass of first block is  

    The angle of inclination of first block is  

    The coefficient of kinetic friction of the first block is  

      The mass of the second block is  

     The angle of inclination of the second block is  

      The coefficient of kinetic friction of the second block is

The acceleration of are same

The force acting on the mass is mathematically represented as

=>

Where T is the tension on the rope

The force acting on the mass is mathematically represented as    

At equilibrium

So

making a the subject of the formula

substituting values

    =>

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