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Standard VIII

Mathematics

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A plate of ma...

Question

A plate of mass m, length b and breadth a is initially lying on a horizontal floor with length parallel to the floor and breadth perpendicular to the floor . The work done to exect it on its breadth is

m g [\frac{b}{2}]

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m g [a + \frac{b}{2}]

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m g [\frac{b - a}{2}]

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m g [\frac{b + a}{2}]

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Solution

The correct option is C $m g [\frac{b - a}{2}]$
Initial height of COG of plate $= a / 2$
Final height of COG of plate $= b / 2$
Displcement of COG of plate $= s = \frac{b - a}{2}$
Work done $= W = F . s = m g \frac{b - a}{2}$

Hence, correct answer is option $C$

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A plate of mass m, length b and breadth a is initially lying on a horizontal floor with length parallel to the floor and breadth perpendicular to the floor . The work done to exect it on its breadth is

The correct option is C mg[b−a2]Initial height of COG of plate =a/2Final height of COG of plate=b/2Displcement of COG of plate=s=b−a2Work done =W=F.s=mgb−a2Hence, correct answer is option C

The correct option is C $m g [\frac{b - a}{2}]$
Initial height of COG of plate $= a / 2$
Final height of COG of plate $= b / 2$
Displcement of COG of plate $= s = \frac{b - a}{2}$
Work done $= W = F . s = m g \frac{b - a}{2}$

Hence, correct answer is option $C$