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In-the-figure-below-a-particle-A-of-mass-2kg-is-lying-on-a-rough-wooden-block-The-particle-A-is-connected-by-a-light-inextensible-horizontal-string-passing-over-a-smooth-light-fixed-pulley-at-the-edge




Question Number 38420 by Rio Mike last updated on 25/Jun/18
In the figure below,a particle A of  mass 2kg is lying on a rough wooden  block.The particle A is connected by  a light inextensible horizontal string  passing over a smooth light fixed  pulley at the edge of the block,to a  particle B of mass 3kg which hangs  freely. The coefficent of friction  between the particle A and the surface  of the block is μ.  Given that the string is taut and the system is released from rest  such that the particle move with an  acceleration of 4ms^(−1) . Find  a) the tension  b) the value of μ.
$${In}\:{the}\:{figure}\:{below},{a}\:{particle}\:{A}\:{of} \\ $$$${mass}\:\mathrm{2}{kg}\:{is}\:{lying}\:{on}\:{a}\:{rough}\:{wooden} \\ $$$${block}.{The}\:{particle}\:{A}\:{is}\:{connected}\:{by} \\ $$$${a}\:{light}\:{inextensible}\:{horizontal}\:{string} \\ $$$${passing}\:{over}\:{a}\:{smooth}\:{light}\:{fixed} \\ $$$${pulley}\:{at}\:{the}\:{edge}\:{of}\:{the}\:{block},{to}\:{a} \\ $$$${particle}\:{B}\:{of}\:{mass}\:\mathrm{3}{kg}\:{which}\:{hangs} \\ $$$${freely}.\:{The}\:{coefficent}\:{of}\:{friction} \\ $$$${between}\:{the}\:{particle}\:{A}\:{and}\:{the}\:{surface} \\ $$$${of}\:{the}\:{block}\:{is}\:\mu. \\ $$$${Given}\:{that}\:{the}\:{string}\:{is}\:{taut}\:{and}\:{the}\:{system}\:{is}\:{released}\:{from}\:{rest}\:\:{such}\:{that}\:{the}\:{particle}\:{move}\:{with}\:{an} \\ $$$${acceleration}\:{of}\:\mathrm{4}{ms}^{−\mathrm{1}} .\:{Find} \\ $$$$\left.{a}\right)\:{the}\:{tension} \\ $$$$\left.{b}\right)\:{the}\:{value}\:{of}\:\mu. \\ $$

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