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Question Number 31935 by NECx last updated on 17/Mar/18

The rigid body of mass 10kg  rotates such that the radius of the  circular path it describes is 5cm.It  it moves from the point P to Q in  5s covering an angular distance  of 30°,Calculate :  a)the final angular velocity if  the angular acceleration is 4m/s^2   b)The moment of inertia of the  body.  c)angular momentum  d)rotational kinetic energy

$${The}\:{rigid}\:{body}\:{of}\:{mass}\:\mathrm{10}{kg} \\ $$$${rotates}\:{such}\:{that}\:{the}\:{radius}\:{of}\:{the} \\ $$$${circular}\:{path}\:{it}\:{describes}\:{is}\:\mathrm{5}{cm}.{It} \\ $$$${it}\:{moves}\:{from}\:{the}\:{point}\:{P}\:{to}\:{Q}\:{in} \\ $$$$\mathrm{5}{s}\:{covering}\:{an}\:{angular}\:{distance} \\ $$$${of}\:\mathrm{30}°,{Calculate}\:: \\ $$$$\left.{a}\right){the}\:{final}\:{angular}\:{velocity}\:{if} \\ $$$${the}\:{angular}\:{acceleration}\:{is}\:\mathrm{4}{m}/{s}^{\mathrm{2}} \\ $$$$\left.{b}\right){The}\:{moment}\:{of}\:{inertia}\:{of}\:{the} \\ $$$${body}. \\ $$$$\left.{c}\right){angular}\:{momentum} \\ $$$$\left.{d}\right){rotational}\:{kinetic}\:{energy} \\ $$

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