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A force of 100 N is applied to the centre of a circular disc, of mass 10 kg and radius 1 m, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in m/s²) of the centre of the disc is _________ (correct to two decimal places).
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- 8.02
- 6.67
- 7.67
- 7.4
Correct Option: B
m = 10 kg, r = 1 m
100 – f = maCM = mr∝ ...(A) '
[Tarque]CM = ICM’∝
| f × r = | × ∝ | |
| 2 |
2f = mr∝
2f = macm
| f = | × acm ...........(ii) | |
| 2 |
By (A) & (B) we get
| 100 - | = macm | |
| 2 |
we get on solving
| aCM = 6.67 | ||
| s² |
