Answer:
7.23407
Explanation:
(I will not include units in calculations)
I'm assuming FBD's are already drawn, so I will work from there.
Let the 2.2kg block equal , and the 20kg block equal .
Summation equation for : ,
Summation equation for :
Torque Summation Equation:
Do some plugging in with the values given:
Replace with , and cancel out the r's.
This step is important: Rearrange the force summation equation to solve for each tension force.
Perform Substitution:
Now, we need to find the friction force and the horizontal component of the force of gravity.
Note that μ
And based on our earlier summation equation:
First, break into x and y components. ,
Perform substitution with this and the fact that .
Solving for a, plugging in numbers yields an answer of 7.23407