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Q.

A uniform cylindrical disc of radius R and mass M is pulled over a horizontal friction less surface by a constant force. The force is applied by means of a string wound around the disc as shown in fig. (2).If it starts from rest at t = O, the linear and angular displacements respectively at time , are

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a

FMt2,FMRt2

b

F2Mt,F2MRt2

c

FMt2,FMt2

d

2FMt2,2FMRt2

answer is A.

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Detailed Solution

We know that, τ=Iα=FR∴ 12MR2α=FR  or  α=2FMRNow, acceleration a=αR=2FMThe distance travelled s=12at2=122FMt2                                                      s=FMt2Further θ=12αt2=122FMRt2=FMRt2
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A uniform cylindrical disc of radius R and mass M is pulled over a horizontal friction less surface by a constant force. The force is applied by means of a string wound around the disc as shown in fig. (2).If it starts from rest at t = O, the linear and angular displacements respectively at time , are