A string is wrapped around a uniform solidcylinder of radius 3.90 cm, as shown i

Question

A string is wrapped around a uniform solidcylinder of radius 3.90 cm, as shown in the figure. The cylindercan rotate freely about its axis. The loose end of the string isattached to a block. The block has mass 17.2 kg, and the cylinderhas mass 10.2 kg. Find the magnitude alpha of the angularacceleration of the cylinder as the block descends.What is theacceleration of the block? and What is the tension in thestring? Please help me, thanks a lot A string is wrapped around a uniform solidcylinder of radius 3.90 cm, as shown in the figure. The cylindercan rotate freely about its axis. The loose end of the string isattached to a block. The block has mass 17.2 kg, and the cylinderhas mass 10.2 kg. Find the magnitude alpha of the angularacceleration of the cylinder as the block descends.What is theacceleration of the block? and What is the tension in thestring? Please help me, thanks a lot

Explanation / Answer

A string is wrapped around a uniform solidcylinder of radius 3.90 cm, as shown in the figure. The cylindercan rotate freely about its axis. The loose end of the string isattached to a block. The block has mass 17.2 kg, and the cylinderhas mass 10.2 kg. Find the magnitude alpha of the angularacceleration of the cylinder as the block descends
angular acceleration of thecylinder==2T/m=2*28.09/17.2=3.266 rad/sec2

.What is the acceleration of the block?
a=2g/3=19.6/3=6.533m/sec2

and What is the tension in the string?
T=mg/6=17.2*9.8/6=28.09N

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