A man is standing on a weighing machine with a block in his hand. The machine records w. When he takes the block upwards with some acceleration the machine records w 1 . When he takes the block down

Question

A man is standing on a weighing machine with a block in his hand. The machine records w. When he takes the block upwards with some acceleration the machine records w 1 ​ . When he takes the block down with some acceleration, the machine records w 2 ​ .Then choose correct option

TestHub · Accepted Answer

Block taken up with acceleration a : N 1 ​ − m g = ma ⇒ N 1 ​ = m ( g + a ) . Man: N 2 ​ = N 1 ​ + M g = ( M + m ) g + ma , so w 1 ​ = ( M + m ) g + ma . Block taken down with acceleration a ′ : m g − N 1 ′ ​ = m a ′ ⇒ N 1 ′ ​ = m ( g − a ′ ) . Man: N 2 ′ ​ = N 1 ′ ​ + M g , so w 2 ​ = ( M + m ) g − m a ′ . With no acceleration the reading is w = ( M + m ) g . Hence w 2 ​ < w < w 1 ​ .

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