# if a metre stick is held vetically with one end on the floor and is then allowed to fall. if the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of (g=9.8)a)3.2b)5.4c)7.6d)9.2

$\\L=1 m, H=\frac{L}{2}=0.5 \mathrm{m} \\ I=\frac{M L^{2}}{3} \\ using conservation of energy m g H=0.5 I w^{2} \\ m g \frac{L}{2}=0.5 \frac{M L^{2}}{3}\left(\frac{V}{L}\right)^{2}\\ V=\sqrt{3 g L} \\ V=5.4 \mathrm{m} / \mathrm{s}$

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