A hemispherical portion of radius R is remove | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let $F_1$ be the downward force on the top surface of the cylinder and $F_2$ be the upward force on the bottom surface of the cylinder.The force $

Vedclass · Accepted Answer

$p_0 \pi R^2 + \rho g (V + \pi R^2 h)$

Vedclass · Answer

(D) Let $F_1$ be the downward force on the top surface of the cylinder and $F_2$ be the upward force on the bottom surface of the cylinder.The force $F_1$ is due to atmospheric pressure $p_0$ and the liquid column of height $h$ above the top surface:$F_1 = (p_0 + \rho gh) \pi R^2$The net upward force (buoyant force or upthrust) on the object is equal to the weight of the displaced liquid:$F_{up} = V_{displaced} \rho g = V \rho g$By definition,the buoyant force is the difference between the upward force on the bottom and the downward force on the top:$F_{up} = F_2 - F_1$Therefore,the force on the bottom of the cylinder is:$F_2 = F_1 + F_{up}$$F_2 = (p_0 + \rho gh) \pi R^2 + V \rho g$$F_2 = p_0 \pi R^2 + \rho g (\pi R^2 h + V)$Thus,the correct option is $(D)$.

Similar Questions

$A$ right circular cylinder has a mass $m$,radius $r$,and a height $h$. The cylinder is completely submerged in a fluid of density $\rho$,as shown in the diagram,and is released. What is the magnitude of the net force on the cylinder initially?

$A$ boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one,how will it affect the level of water?

$A$ wooden cube first floats inside water when a $200\,g$ mass is placed on it. When the mass is removed,the cube rises $2\,cm$ above the water level. The side of the cube is ........ $cm$.

$A$ wax candle floats vertically in a liquid of density twice that of wax. The candle burns at the rate of $4\ cm/hr$. Then, with respect to the surface of the liquid, the upper end of the candle will:

What is buoyant force?

Vedclass Test Series

Exam Paper Generator

Online Exam Module