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  • A long plank of mass  i's resting on the smooth horizontal plane. A disc of mass&

A long plank of mass 1 \mathrm{~Kg} i's resting on the smooth horizontal plane. A disc of mass 1 \mathrm{~kg} and radius 2 \mathrm{~m} was set into the pure rotation with the angular velocity of 4 \mathrm{~rad/s} and gently placed on the floor of the plank.

If the coefficient of friction between the plank and the disc is '0.1' then the distance moved by the plank after the disc starts pure rolling on the plank will be-

Option: 1

1 \mathrm{~m}


Option: 2

2 \mathrm{~m}


Option: 3

3 \mathrm{~m}


Option: 4

4 \mathrm{~m}


Answers (1)

best_answer

Distance travelled by the plank till the slipping ceases between disc and plank
\begin{aligned} S&=\frac{1}{2} a t^2 \\ S&=\frac{r^2 \omega^2}{32 \mu g} \\ S&=\frac{(2)^2(4)^2}{32 \times 0.1 \times 10} \\ S&=2 \mathrm{~m} \end{aligned}

Posted by

Devendra Khairwa

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