Question 133: Properties of Matter

Question

A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is (a < < A) :

Accepted Answer

For no sliding
f $$\ge$$ $$\rho$$av
2
$$\mu$$mg $$\ge$$ $$\rho$$av
2
$$\mu$$$$\rho$$Ahg $$\ge$$ $$\rho$$a2gh
$$\mu  \ge {{2a} \over A}$$
Option (3)

Answer

$${A \over {2a}}$$

Answer

None of these

Answer

$${{2a} \over A}$$

Answer

$${{a} \over A}$$

Properties of Matter

A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is (a < < A) :

Choose the correct answer: