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

Question

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

Infinity Learn · Accepted Answer

We know that, τ$$=I$$α$$=FR$$∴ $$12MR2$$α$$=FR$$  or  α$$=2FMRNow$$, acceleration $$a=$$α$$R=2FMThe$$ distance travelled $$s=12at2=122FMt2$$                                                      $$s=FMt2Further$$ θ$$=12$$α$$t2=122FMRt2=FMRt2$$

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