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A plate of mass m, length b, and breadth...

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

Text Solution

Verified by Experts

Gravitational potential energy of the block at the position 1,
`U_(1)=mgh_(1)` ...(1)
Gravitational potential energy of the block at the position 2 is given as
`U_(2)=mgh_(2)` ...(2)
`rArr` Work done by the external agent `=W=Delta U=(U_(2)-U_(1))=mgh_(2)-mgh_(1)`
where `h_(2)=b//2` and `h=a//2`
`rArr W=mg(b/2-a/2)=(mg(b-a))/(2)`
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