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Answer:
The mass is 1200 kilograms
Explanation:
Because Force is equal to mass times acceleration (F=m×a)
F=m×a
1800N=?×1.5
1800÷1.5=1200
1800N=1200Kg×1.5
Let's call a the acceleration of the system. The problem says that the block m3 is static, so the acceleration is zero: a=0.
Calling

the tension of the string between m1 and m3, and

the tension of the string between m2 and m3, the problem can be solved by writing the following system of equations:



However, we know that a=0 and the problem asks only for

, so we just need to solve the first equation:

and so
Answer and Explanation:
Based on the given information, the formula and the computation is given below:
a. The rotational inertia of the hoop is shown below:



= 0.73 × (0.36 + 0.1444)
= 0.368 
b. Now the rotational kinetic energy is


= 36.58 J
We simply applied the above formula for rotational inertia and rotational kinetic energy in order to reach with the correct answer
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