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Q.

Three blocks are connected by massless strings on a frictionless inclined plane of 300 as shown in the figure. A force of 104 N is applied upward along the incline to mass m3 causing an upward motion of the blocks. What is the acceleration of the blocks? (Assume g = 10 m/s2)

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a

6.0 m/s2

b

1.5 m/s2

c

3.0 m/s2

d

4.5 m/s2

answer is D.

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Detailed Solution

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F-T-8gsin30o=8a..(i)

T-T'-5gsin30o=5a..(ii)

T'-3gsin30o=3a..(iii)

on adding (i), (ii) and (iii), we get 

F-16gsin30o=16a 

So, 16a=104-80

⇒a=1.5 ms-2

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