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Consider the free body diagrams as shown in the file attached.
Let the acc of system is a.
For the washer T+N-m1g=m1a ............................(1)
For the bucket T-N-m2g=m2a ............................(2)
(a)
a=0
Eqns (1) and (2) become
T+N-m1g=0
T-N-m2g=0
Adding and rearranging,
T=(m1+m2)/2g
T=325N
(b)
We are specified the value of T here as 325+32.5=357.5N
eqns (1)and (2) become
357.5+N-m1g=m1a
357.5-N-m2g=m2a
Adding,
715-(m1+m2)g=(m1+m2)a
Solve for 'a'

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