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Q.

A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinder go down with an acceleration 0.2 m/s2. The normal reaction R' by the floor if mass of the iron cylinders are equal and of 20kg each, is ___ N (Take g = 10m/s2 and μs=0.2 )

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a

684

b

716

c

714

d

686

answer is D.

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Detailed Solution

Assuming all four blocks are as a system.

Writing the force equation on the system in vertical direction,

Mg−R=Ma

⇒(10+(3×20))10−R=(10+(3×20))×0.2

⇒R=70(10−0.2)=686 N

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A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinder go down with an acceleration 0.2 m/s2. The normal reaction R' by the floor if mass of the iron cylinders are equal and of 20kg each, is ___ N (Take g = 10m/s2 and μs=0.2 )