Problem 5–3. Freely Settling Hinge. A plate of density pm, thickness d, and width W (you may consider the third dimension to be infinite – it is a 2D problem – and d/W « 1) is hinged at one edge in contact with the bottom of a tank filled with a viscous liquid. The angle separating the plate and the plane is given by æ. If we release the plate it will settle toward the plane (e.g., a will decrease in time). In the limit a « 1, develop an equation governing a as a function of time. d W Pm a Ps

Question

the question in the image 

Problem 5–3. Freely Settling Hinge. A plate of density pm, thickness d, and width W
(you may consider the third dimension to be infinite – it is a 2D problem – and d/W « 1)
is hinged at one edge in contact with the bottom of a tank filled with a viscous liquid. The
angle separating the plate and the plane is given by æ. If we release the plate it will settle
toward the plane (e.g., a will decrease in time). In the limit a « 1, develop an equation
governing a as a function of time.
d
W
Pm
a
Ps
View transcribed image text
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Engineering
Mechanical Engineering

Fluid Mechanics

Related Mechanical Engineering Q&A

Find answers to questions asked by students like you.

Q: Water is flowing under fully turbulent flow in a pipe. If the diameter of the pipe is lowered by 10%...

A: Click to see the answer

Q: Forces of 50 lb are applied to the handles of the bolt Determine the force exerted on the cutter of ...

A: The free body diagram of CDE The free body diagram of ABC

Q: 3-14. The 20-N horizontal force acts on the handle of the socket wrench. What is the moment of this ...

A: Given A wrench under a force of 20 N The free body diagrams explain the complete problem. From top v...

Q: A manufacturer wants to produce a weld batch with the eutectic composition. It has 250 kg of electri...

A: Click to see the answer

Q: 9-32. The weight of block A in Fig. P 9-32 is 1610 lb and the weight of block B is 644 lb. Determine...

A: Given: The weight of the body B, WB = 644 lb The weight of the body A, WA = 1610 lb The coefficient ...

Q: Knowing that P= 100 N, determine the range of values of θ for which equilibrium of the 7.5-kg block ...

A: Draw the free-body diagram of the block.

Q: The variation of pressure P in a gas with density ? is given by P = C?n where C and n and are consta...

A:  

Q: A 10-cm-diameter and 10-m-long cylinder with a surface temperature of 10°C is placed horizontally in...

A: Given : The ambient temperature = 40 °C The surface temperature of the cylinder = 10 °C The diameter...

Q: Milk with a density of 1020 kg/m3 is transported on a level road in a 9-m-long, 3-m-diameter cylindr...

A: Given that,  

Transcribed Image Text

Problem 5–3. Freely Settling Hinge. A plate of density pm, thickness d, and width W (you may consider the third dimension to be infinite – it is a 2D problem – and d/W « 1) is hinged at one edge in contact with the bottom of a tank filled with a viscous liquid. The angle separating the plate and the plane is given by æ. If we release the plate it will settle toward the plane (e.g., a will decrease in time). In the limit a « 1, develop an equation governing a as a function of time. d W Pm a Ps