A cylinder of mass 4 m and a block of mass m is placed on an inclined plane as shown in the figure. The linear acceleration of cylinder is
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a
2m/s2
b
4m/s2
c
107m/s2
d
37m/s2
answer is B.
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Detailed Solution
The velocity of the block and the velocity of the top point of the cylinder same i.e., doble the velocity of center of mass, from conservation of energy.mgh=12 mυ2+124mυ22 1+k2R2mgh=12 mυ2+124mυ22 1+12=12 mυ2+12mυ232=12 mυ21+32mgh=12 mυ2524gh5=υ2 υ2=2ah2a=4g5a=2g5=4m/s2