NEET2016PhysicsMechanical Properties of FluidsActual
A liquid of density 800 ~kg / m ^3 is filled in a cylindrical vessel upto a height of 3 m . This cylindrical vessel stands on a horizontal plane. There is a circular hole on the side of the vessel. What should be the minimum diameter of the hole to move the vessel on the floor, if plug is removed. Take the coefficient of friction between the bottom of the vessel and the plane as 0.5 and total mass of vessel plus vess
Options
- A0.107 m
- B0.053 m
- C0.206 m
- D0.535 m
Correct answer
A. 0.107 m
Step-by-step solution
Given, =800 ~kg / m ^3 , h=3 ~m , =0.5, m=95 ~kg , d_ =? Let area of hole be a Reaction force, F= ^2= a 2 g h [ v= 2 g h ] and aligned f_ & = N = mg F & f_ 2 pagh & mg a m 2 h & = 0.5 95 2 800 3 =0.009 aligned aligned r^2 & 0.009 r & 0.009 r_ min & =0.0535 ~m d_ min & =2 r_ min =2 0.0535=0.107 ~m aligned