A pair of scissors is used to cut a piece of a cloth by keeping it at a distance of 8.0 cm from its rivet and applying an effort of 10 kgf by fingers at a distance of 2.0 cm from the rivet.

(a) Find : (i) the mechanical advantage of scissors, and (ii) the load offered by the cloth.

(b) How does the pair of scissors act : as a force multiplier or as a speed multiplier ?

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Solution

$E f o r t space a r m equals 2 L o a d space a r m equals 8 G i v e n space e f f o r t equals 10 k g f left parenthesis a right parenthesis left parenthesis i right parenthesis the space mechanical space advantage space of space scissors M A equals fraction numerator E f f o r t space a r m over denominator l o a d space a r m end fraction equals 2 over 8 equals 0.25 left parenthesis ii right parenthesis the space load space offered space by space the space cloth. l o a d equals M A cross times e f o r t equals 0.25 cross times 10 k g f equals 2.5 k g f left parenthesis b right parenthesis pair space of space scissors space act space colon as space a space s peed space multiplier space b c z space M A less than 1$

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