In the figure shown, find acceleration of the system and Tensions T,,T, and T, [g = 10 m/s?]
a) 4m/s2, 24 N, 42 N, 14 N
b) 3m/s?, 24 N, 43 N, 14 N
c) 4m/s2, 24 N, 43 , 14 N
d) 4m/s2, 24 N, 42 N, 20 N
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Answer:
a) 4m/s2, 24N, 42N, 14N
Explanation:
Consider m1=4kg m2=3kg m3=2kg m4=1kg
a=(m1+m2)-(m3+m4)/m1+m2+m3+m4×g
a=4m/s2
T1=m1g-m1a
T2=(m1+m2)g-(m1+m2)a
T3=m4g+m4a
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