What is the max mass block m can be without moving? I would suggest an x & y table in which we can add all the forces up and equal them to ma. Please and thank you.

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What is the max mass block m can be without moving? I would suggest an x & y table in which we can add all the forces up and equal them to ma. Please and thank you. 

Expert Solution
Step 1

The total force on x direction is zero,

Fy=0n1=m1gcosθ=4 kg9.8 m/s2cos 30°=33.98 N

μsn1=0.333.98 N=10.195 N

Here, μs is the coefficient of static friction and is mass of block and g is the acceleration due to gravity

The total force on x direction is zero,

Fx=0T=μsn1=0.333.98 N=10.195 N

Here, T is the tension 

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