I have started studying fluid mechanics recently and seems to be a very basic conceptual question that is bugging me and unfortunately I am unable to find a reasonable explanation for it. Your help would be more than appreciated.
The mathematical definition for incompressiblility in fluid...
Currently I am intended to start next fall as a Physics major at the University of Delaware. My interest lies in Fluid Dynamics particularly in Geophysical Fluid Dynamics. I understand it's really early in my college career and I may change my interest, however I was surprised to find that as a...
Hey Guys,
I am supposed to take Fluid Mechanics in Fall 2013. The course has lots of prerequisites and I have taken them all.
One of the prerequisites is Dynamics. In Dynamics I was taught how to analyze objects in motion using Newton's Second Law of motion, Work and Energy method and...
hey all,
Is there any easy way to make obstructions in FDS that aren't rectangular?
I basically want to tack on a circular chimney to the following
the chimney would be circular, and inscribed in the square. then, there'd be a circle inside of it, making the chimney have 10" thick walls...
Homework Statement
That was the given information. Here are the questions they ask, I have solved a) and b), but I am completely stuck on c). I'll just put them here in case information from them are necessary.
a) What is the coefficient of static friction between the 5.0 kg mass and the...
Homework Statement
Hi, I have a system of forces which is showed in the following picture:
http://imageshack.us/photo/my-images/197/fuerzas.JPG/
The exercise says: A force F produces an acceleration of 5 m/s^2 when it acts on a particle of mass m. Calculate the acceleration of the particle...
Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one...
I understand everything up to B). I believe Bernoulli's is applicable here, however I am unsure as to whether or not the pressure before the tube (pgh) is the same or different as the pressure at the tube pgh +p0. I ask the same question for the opposite end of the tube.
I know that pressure...
A constant torque of 150Nm applied to a turbine rotor is sufficient to overcome the constant bearing friction and to give it a speed of 75rpm from rest after 9 revolutions. When the torque is removed, the rotor turns for a further 23 revolutions before stopping. Determine the moment of inertia...
Homework Statement
A viscously damped system has a total weight of 250 N, a spring stiffness k = 8 kN/m,
and a damping coefficient c = 0.08 kN-sec/m. Determine the displacement, velocity,
and acceleration of the mass as a function of time if it is disturbed from its equilibrium
position...
Homework Statement
Cam followers are 25mm and 32mm in diameter. Mass is 4kg. Determine the reaction forces on all of the cam rollers when cart accelerates to the right at 20 m/s^2
Homework Equations
The Attempt at a Solution
(4kg)(20m/s^2)(.05m)/(.018m) = 222 N on small roller...
The 20-kg sphere, attached to a spring of stiffness 500 N/m
is released from an un-stretched position of the spring, as
shown in the figure. Determine the velocity of the
block “A” of mass 10 kg, at the instant the ball has fallen
25 cm. A roller mechanism keeps the spring in a vertical...
Homework Statement
A boy skateboards down a curved playground ramp. If we treat the boy and his skateboard as a
particle of total mass m = 25:0 kg, he moves through a quarter-circle with radius R = 3:0 m. He
starts from rest at point A and there is no friction.
(a) Find his speed at the...
Homework Statement
A quarry crane is used to lift massive rocks from a quarry pit. Consider the simplified model of such a crane shown in the figure. (Figure 1) The ends of two poles are anchored to the ground at the same point (point O). From this point, one pole rises vertically and the...
Homework Statement
I've solved it already, I think. I'm just not sure about the result.
There is a block (B), which is touching a cart (C) on one side.
Let an external force, parallel to the surface, ##\vec{F_a}## be applied on B
mass of B = m; mass of C = M; static friction...
Homework Statement
Two carts (1&2) on a flat surface, are pushed by an external force (##\vec{F}##), exerted on 1 (the carts are motionless and touching each other).
Consider the two objects as particles and take no notice of any friction.
F=12N; mass of 1 (##m_1##)=4,0 kg; mass of 2...
Homework Statement
Consider a sphere that is placed at a table. The coefficient of kinetic friction between the sphere and the table is μ. At time t = 0, the velocity of the center of mass of the sphere is Vo = 0, and the sphere is rotating with respect of the horizontal axis with angular...
Homework Statement
Rotating with angular velocity ##ω_0## solid homogeneous cylinder of radius ##r## placed without starting forward speed at the bottom of the inclined plane, forming an angle ##\alpha## with the horizontal plane, and starts to roll in up. Determine the time during which the...
A mine cage of mass 4 tonne is to be raised with an acceleration of 1.5m/s^2
using a hoist drum of 1.5m diameter. The drum’s mass is 750kg and its radius of gyration is 600mm.The effect of bearing friction is equivalent to a torque of 3kNm at the hoist drum. What isthe driving torque required...
Homework Statement
In a test of a car seat belt system, a dummy of mass 55kg in a car seat is accelerated to a speed of 35m/s before it hits a brick wall. The seat belt allows the dummy to move forward relative to the seat by a distance of 0.60 m. Calculate,
(a) The deceleration of the dummy...
Homework Statement
5. A rectangular opening on the side of a water tanks has a width of L. The upper part of the opening it's in a height of h1 underneath the water y and the bottom part it's in h2 . prove that the volume of water that leaves the tank is given by :
2/3(L)√(2g(h1³-h2³))...
Homework Statement
Hi could some one point me in the right direction for both parts of these questions, I am electrical biased so this is all new to me.
A model boat off mass 25 Kg is crossing a still lake at a constant speed, in a straight line. The engine is propelling the boat along...
Homework Statement
An green hoop with mass mh = 2.6 kg and radius Rh = 0.12 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.3 kg and radius Rd = 0.09 m. The other end of the string is attached to a massless axel through the center of an orange sphere on a flat...
Hi guys,
I haven't taken any physics classes or any of the sort to figure out the problem that I am faced with.
basically what where creating is a wave maker like this
(sorry this is the only video i found)
basically the "float" that you see is shaped like a quarter of a circle...
I'm studying rotational dynamics and I've got a couple questions I can't answer. I want to describe de movement of the bodies in the cases below, the coefficient of friction in all the cases is \mu . I will say what I think it would happen, and I would appreciate if you guys judge it right or...
Homework Statement
A professor gave a pipe network problem to be solved by the Hardy-Cross method. However when I attempted to create a scale drawing of the figure to get a better idea of the problem I realized it is physically impossible to create his design. Now i am wondering if because...
Homework Statement
A car is moving at an acceleration such that a 5kg block in the back of the remains still on a ramp at 35*. The ramp is frictionless, whereas the coefficient of friction between the truck and the road is μ=0.1. If the truck weighs 12000kg, what is the force the trucks...
Homework Statement
At the airport, you pull a 20 suitcase across the floor with a strap that is at an angle of 42° above the horizontal.Find the Normal Force.
Homework Equations
The Attempt at a Solution
I have broken it down into all equations with just variables trying so...
Hey guys;
I am new to the forums. I am an effects artist who's working a Rigid Body Dynamics project and I may be able to use some of you guys' expertise while I'm building these simulations.
As I stated above, I'm doing R&D for a deformation system I'm working on. What I want to do is...
Homework Statement
I have a population problem where:
\frac{dy}{dt} = ay - by^{2}-\frac{c*y^{3}}{d+y^{3}}
I need to find an expression for y(t). I'm not looking for the answer, just some advice/ helpful hints.
Thank you.
Homework Equations
The Attempt at a Solution
I...
I have to do these 2 problems for homework, but I can't figure them out. Any help would be appreciated.
1. The motorcycle is traveling at 1m/s when it is at A(the origin). If the speed is then increased at \dot{V} = .1 m/s^2, determine its speed and acceleration at the instant t = 5 seconds...
Homework Statement
A 1200 kg rocket car is placed at the bottom of a 100 meter long ramp inclined at 10°. The rocket is turned on and it exerts a force of 8300 N for 5.70 seconds, and then it shuts down. Find the speed with which the rocket car leaves the ramp (assume frictionless)...
Need help with this question:
Would parasympathetic stimulation of the heart affect the Starling relationship between end diastolic volume (EDV) and stroke volume (SV)? In other words, what would be expected to happen to the Starling Curve if you increased or decreased parasympathetic...
Homework Statement
The tires on a car are capable of exerting a maximum frictional force of 1753 lb. If the car is traveling at 75 ft.s and the curvature of the road is ρ=560 ft, what is the maximum acceleration that the car can have without sliding?
Homework Equations
ƩFn = man
The...
Hi all,
I have a question about calculating the concentration of continuous air and carbon monoxide flowing through a pipe. If the gas cylinder originally has 20% CO and 80% air and it will be diluted by another gas cylinder of air, how do you account for temperature, pressure, and...
Author: Jorge José and Eugene Saletan
Title: Classical Dynamics: A Contemporary Approach
Amazon Link: https://www.amazon.com/dp/0521636361/?tag=pfamazon01-20
Can moment of inertia be derived using just linear dynamics and calculus. Textbooks usually derive moment of inertia using energy equation and and analogy of 1/2mr^2w^2 with 1/2mv^2. I would like to know if it can be approached in a different manner using just linear dynamics.
I was wondering if anyone knows any textbooks that are a good beginners guide for the dynamics (mechanics) using the fractional calculus. I have The Fractional Calculus by Oldham and Spanier but was hoping to find something more rudimentary. Thanks.
Author: John D. Anderson
Title: Computational Fluid Dynamics: The Basics with Applications
Amazon Link: https://www.amazon.com/dp/0070016852/?tag=pfamazon01-20
Prerequisities: Calculus, Introductory Physics and/or Aerospace Engineering, Fluid Mechanics, Heat Transfer
Level...
I am investigating the mathematics behind driven damped oscillators, I will then simulate it in MATLAB and observe the unpredictable long term behavior of the system.
In order to create non-linearity in a oscillating spring I can no longer use hookes law but a form of it by introducing a...
Hi guys and girls,
I hope you can help an electronics engineer out of his place in the mechanical world:rolleyes:
My very basic question is for a vessel holding a liquid at a given pressure and a given opening in the vessel how can i calculate exit velocity and mass flow rate? Like if i...
I am going to be simulating damped driven oscillators for my project and I was wondering if someone could give me a definitive answer on the matter. I know MATLAB is more of a 'tool' than a language so I'm thinking the maths behind damped driven oscillators might be easier to implement into...
I am working on hobby project with almost no budget.
I bought some "nice" (cheap & simple) electronic solenoid valves for water flow. I've since discovered that they need 3PSI to open. Which is ok for the supply lines. But the drain line requires that as well. Now I either need a column of water...
1) 10. Four objects are placed at rest at the top of an inclined plane and allowed to roll without slipping to the bottom in the absence of rolling resistance and air resistance.
• Object A is a solid brass ball of diameter d.
• Object B is a solid brass ball of diameter 2d.
• Object C is a...
Author: Stephen T. Thornton (Author), Jerry B. Marion (Author)
Title: Classical Dynamics of Particles and Systems
Amazon Link: https://www.amazon.com/dp/0534408966/?tag=pfamazon01-20
Prerequisities: Calculus, Ordinary and Partial Differential Equations, Introductory Physics
Level...
Homework Statement
Carry out the integration ψ = ∫[M(dr/r2)] / √(2m(E-U(r)) - (M2/r2))
E = energy, U = potential, M = angular momentum
using the substitution: u = 1/r for U = -α/r
Homework Equations
The Attempt at a Solution
This is as far as I've gotten: -∫ (Mdu) /...
Homework Statement
(see attachment)
Homework Equations
The Attempt at a Solution
Do I need to take torque about C here?
Any help is appreciated, Thanks!
Homework Statement
A particle of mass M is on the top of a vertical circle without initial velocity. It starts to fall clockwise.
Find the angle with respect to the origin, where the particle leaves the circle.
Homework Equations
v=ωXr
The Attempt at a Solution
I used two unitary...