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  • A uniform rod of mass '' and length ' <img alt="3 \sqrt{2} \mathrm{~m}" src="h

A uniform rod of mass '2 \mathrm{~kg}' and length ' 3 \sqrt{2} \mathrm{~m}' is placed on a rough surface as shown in the figure.


A force is applied on one of its end such that it begins to rotate about a point lying at a distance of '3 \mathrm{~m} ' from the point of application of the force. The minimum value of such force will be. [Given, \mu=0.5, g=10 \mathrm{~m} / \mathrm{s}^2 ]

Option: 1

7.4 \mathrm{~N}


Option: 2

2.8 \mathrm{~N}


Option: 3

3.6 \mathrm{~N}


Option: 4

4.1 \mathrm{~N}


Answers (1)

For rotation about P to begin.

\begin{aligned} F\left(l_1\right)&=\tau_{\text {friction }}\\ \quad F & =\mu \lambda g L(\sqrt{2}-1) \\ F & =\mu m g(\sqrt{2}-1) \\ F & =(0.5)(2)(10)(\sqrt{2}-1) \\ F & =10 \times 0.41 \\ F & =4.1 \mathrm{~N} \end{aligned}

Posted by

Sumit Saini

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