Simple Fluid mechanics problem

In summary, the conversation discusses a wooden stick of density d immersed in water of density D, with one end free to rotate about a hinge attached to the container wall. The equilibrium angle θ can be calculated using the tangent function, with options (a)0, (b)d/D, (c)1-d/D, and (d)D/d. The buoyant force is also mentioned, with a question about its location.
  • #1
nil1996
301
7

Homework Statement


A uniform wooden stick of density d is completely immersed in water of density D (D>d). One end of the stick is free to rotate about a hinge which is attached to the wall of the container. In equilibrium the stick the stick makes an angle θ then tanθ is-
(a)0

(b)d/D

(c)1-d/D

(d)D/d

Homework Equations



related to buoyancy

The Attempt at a Solution


First of all i am not understanding the nature of buoyant force. In this case can we consider it to act at the middle of the rod?
 
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  • #2
Yes.
 

Related to Simple Fluid mechanics problem

1. What is fluid mechanics?

Fluid mechanics is the study of how fluids (liquids and gases) behave and interact with each other and their surroundings. It involves understanding and predicting the motion and forces of fluids, as well as their properties and characteristics.

2. What are some examples of simple fluid mechanics problems?

Simple fluid mechanics problems can include scenarios such as calculating the pressure and flow rate of water in a pipe, determining the force required to lift an object submerged in water, or predicting the velocity of a gas jet.

3. How do you solve a simple fluid mechanics problem?

The first step in solving a simple fluid mechanics problem is to clearly define the problem and identify the known and unknown variables. Then, apply the relevant equations and principles of fluid mechanics, such as Bernoulli's equation or the continuity equation, to solve for the unknown quantity.

4. What are some common applications of fluid mechanics?

Fluid mechanics has many practical applications in our everyday lives, such as in plumbing systems, aerodynamics of airplanes and cars, weather forecasting, and the design of hydraulic systems. It also plays a crucial role in industries such as chemical and mechanical engineering, as well as in medical devices and energy production.

5. How important is fluid mechanics in scientific research?

Fluid mechanics is a fundamental aspect of many fields of science and engineering, and therefore plays a critical role in scientific research. It helps us understand and model natural phenomena, design new technologies, and improve existing systems. Many areas of research, from climatology to biomechanics, rely on fluid mechanics principles to study and solve complex problems.

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