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Physics

Mechanics

Easy

Question

$I n space t h e space a r r a n g e m e n t space s h o w n space i n space f i g u r e comma space space k g space a n d space space k g. space S t r i n g space i s space l i g h t space a n d space i n e x t e n s i b l e. space F i n d space t h e space a c c e l e r a t i o n space o f space c e n t r e space o f space m a s s space o f space b o t h space t h e space b l o c k s$

$(\frac{8 g}{49}) m / s^{2}$
$(\frac{9 g}{49}) m / s^{2}$
$(\frac{3 g}{49}) m / s^{2}$
$(\frac{8 g}{39}) m / s^{2}$

The correct answer is: $open parentheses fraction numerator 9 g over denominator 49 end fraction close parentheses straight m divided by straight s squared$

$table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell a equals open parentheses fraction numerator 5 g minus 2 g over denominator 5 plus 2 end fraction close parentheses equals open parentheses fraction numerator 3 g over denominator 7 end fraction close parentheses straight m divided by straight s squared end cell row cell plus ve not stretchy downwards arrow space of 1em a subscript c 0 m end subscript equals fraction numerator m subscript d a subscript d plus m subscript g a subscript B over denominator m subscript A plus m subscript d end fraction equals fraction numerator 5 left parenthesis 3 g divided by 7 right parenthesis minus 2 left parenthesis 3 g divided by 7 right parenthesis over denominator 5 plus 2 end fraction equals open parentheses fraction numerator 9 g over denominator 49 end fraction close parentheses not stretchy downwards arrow end cell row cell therefore space of 1em a subscript c 0 m end subscript equals open parentheses fraction numerator 9 g over denominator 49 end fraction close parentheses straight m divided by straight s squared text in downward direction. end text end cell end table$

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