Can the same force increase both the translational and rotational kinetic energy of a rigid body? If yes then the work done by the force equals the sum of the increase in the translational and rotational kinetic energy?
I have a question: can the human body be expressed mathematically? If so, how would you even go about starting to map out the algorithmic structure of something that's living (which would include molecular function, cellular function, etc. etc.)?
Homework Statement
Prove that the enrgy of a falling body remains constat using the derivate of a function
Homework Equations
We need to prove that:
\frac{mv^2}{2} + mgh is constant, trhat is its derivate equals 0
The Attempt at a Solution
Let the positive direction be...
I know that this question may seem a bit weird at first glance, but I've been wondering about the following. Let's consider that someone throws a rock at me. I can either:
a) dodge the rock
b) take the rock head on
If i dodge the rock i will: produce heat moving away from the rock's path...
Homework Statement
Two horizontal bars connected by a frictionless pin are released and allowed to fall and impact a fixed pin. Where must the pin impact the bars to ensure rigid body rotation?
Homework Equations
Conservation of angular and linear momentum, relative velocity...
I'm trying to find the appropriate formula (and abstractions to plug into it as necessary) to work out the absolute magnitude (from which I can dervive an apparent magnitude) of a solar body.
I've found a lot of formula which relative absolute and apparent magnitude, but trying to find how to...
http://i.imgur.com/ZH9huJt.png
Lets suppose this perfectly rigid cylinder has a uniform mass and has a length on the order of the distance between the Earth and Mars or some similar situation. This cylinder is orbiting around the Sun in a 2-body universe. What would this cylinder look like on...
Hi as far as I have understood: Blackbodies are physicsl objects which absorb electromagnetic waves at ALL frequencies. And the only light they radiate is determined by their temperature which means They don't reflect any light shined on them, they only emit Energy from their temperature...
Sorry if this question has already been considered in this Forum (I'm sure it is but I can't find it now).
A rigid ball slide without friction in an horizontal plane and collide elastically with a wall, the plane of which is perpendicular to the ball's velocity.
During the collision the ball...
This may be intuitively obvious to you and I'm just missing it.
Say you had 3 balls each with a mass of 1g. Each moving at velocity of 10m/s on a 2D Cartesian plane. Ball 1 & 2 are moving toward the origin from opposite sides, so they are approaching each other at 20m/s. Ball 3 moving from...
Homework Statement
The rod assembly shown has a ball-and-socket joint at A and a smooth journal bearing at C. The forces F1=600N , F2=410N , F3=460N , and F4=950N are applied as shown in the figure. The geometry of the rod assembly is given as a=0.900m , b=0.650m , and c=0.800m...
I'm having the hardest time understanding Black bodies. I have a lot of questions about them so I can't write all of them, instead I'll just start with : Why are stars considered black bodies?
Why does a voltage tester (that looks like a screwdriver) turn on even when you are "heavily" insulated from the ground e.g. sitting on a wooden chair.
Is it the result of capacitance between the human body and the ground? (i.e. the body and the ground act as conductors, whereas the insulated...
When a car turns there is a centripetal force acting at the tyres to get it round the bend. There is also an acceleration of the chassis away from the bend acting at the centre of gravity. These combine to create a torque which causes the chassis to roll about the roll centre. Is this correct...
Homework Statement
Here is a question in my textbook. I saw the answer, but no explanation was there.
A stone is thrown vertically upward with an initial velocity v_0. The distance traveled by it in time \frac{1.5v_0}{g} is ______________.
Answer is \frac{5v_0^2}{8g}.
Homework...
Hey guy, I would like to ask a few question about force and free body diagram.
First question, I conduct a compressive experiment a few day back, using compression machine to test the strength of different materials e.g., Aluminium, PVC and Ceramic. However there is one thing that I don't...
Homework Statement
Around vertical axis ##O## a body on picture below (see attachment) is being rotated with constant angular velocity ##\Omega ##. On the circle we have a body with mass ##m##, that can feels no friction. Find position of that body as function of ##\phi ## and time. Calculate...
Hi
Let's consider the three body problem.
The motion of all bodies is a manifold of dim 18. But I will consider that the mass of the third body is neglictible and I am interested in the motion of the third body (in the case, this is the restricted three body problem (non necessary planar nor...
Homework Statement
Consider a cuboid of lengths a, b and c along the x, y and z axes respectively, centred at the origin.
The task is to show that the moment of inertia of the cuboid of mass M and mass density ρ about an axis along the body diagonal, from (-a/2, -b/2, -c/2) to (a/2...
Homework Statement
This is not a HW problem, but something I am trying to prove/disprove for my own knowledge. I have a tube pinned at both ends and inclined in the x-y plane. The pin locations can both move freely in space but subject to the constraint that the tube will not stretch or...
For my senior physics research project I've developed an orbital analysis program that calculates the minimum \Delta V required (applied in an instantaneous impulse) to deflect an inbound Earth impacting asteroid. I've generated data for several different hypothetical orbits and now my advisor...
I am currently working on a robotic manipulation problem and need to form a model for how an object responds. I start by writing up the equations of motion for the body, the motion is then constrained by an additional constraint equation. However, I am new to the notions of twists and wrenches...
A ridig sphere is rolling from left to right down an incline plane with an angle elevation of β
In the y -direction, FN = mg cos β.
In the x-direction, mg sin β - f
(where f is the frictional force: μsFN)
The laminar motion is then given by Icmdω/dt = Rf (where R is the radius of the sphere)...
Homework Statement
http://postimg.org/image/vnn9m9au9/
For the car why is the friction acting towards the left. Shouldn't it be towards the right since the car is moving to the left
And why is there no friction for the trailer?
Homework Equations
The Attempt at a Solution
Momentum of a body can be constant while it accelerates? I mean if velocity increases while mass decreases proportional.
And if is true, what force produces acceleration?
Hello there! I am currently studying the equilibrium of rigid body and encountering a doubt. Now, in their explanation of reaction forces by a roller or a rocker or a smooth surface, they generalize it as in the preceding examples prevent the translation of a beam for example in ONE direction...
Homework Statement
Find the unknown mass on a lever (see-saw). I have three masses. To the right of the fulcrum, the mass is 166 g and it is 25.15 cm from the fulcrum. There are two masses to the left. One is 166 g and is 16.95 cm from the fulcrum. The unknown mass is 3.33 cm from the fulcrum...
What is the lower mass limit for a body to have rings?
I'm thinking that Chariklo, at 155 miles in diameter is pretty small. Gravity would be so weak you'd have to hold on just to not 'jump' off with every step.
Cheers,
3point14rat
What temperature would the human body need to be in order to sustain all necessary metabolism reactions in the absence of a catalyst? I know this is unreal, I am just curious of an order of magnitude estimate.
Hi,
Consider a body is traveling with a velocity in a direction for infinite time.
If anything does not disturb that body.
It will come to its initial position for a time ?
A 60kg student is standing on a scale in an elevator that measures weight in Newtons. Calculate the reading on the scale if the elevator is accelerating down at 4 m/s^2...when the elevator is accelerating up at 4 m/s^2... and in free fall.
Not sure if my work/answer is correct
accelerating...
Hello, my question id the following: when using Tsiolkovsky's equations to determine the velocity of a body after certain period of time, when the engine of a (space)craft is running, life is simple.
But how do you calculate the falling rate of an object that is constantly falling, and then...
I was watching a video by ASAP science in which they said that the body is capable of telling time. We don't need alarm clocks, we can wake up on our own, due to some fluids in our body. How exactly does this work?
So we're studying resonance.
It says that it occurs when an external periodic force acting on a body is exactly equal to the natural frequency of the body. The body then begins to vibrate with greater/increasing amplitude and intensity.
And so what I want to know is that is there a...
Homework Statement
http://postimg.org/image/5h0hvdi4l/
Can someone explain why the FBD of Block C would involve three cord tensions?
Homework Equations
The Attempt at a Solution
Homework Statement
Attached, where AC=BC=2R and CD=CE=3R. I need to work out the force the cylinder exerts on the cross section (in order to work out the moment at C). So first I'm trying to work out the free body diagrams for this system. Is it as I've attached? How do I draw the tension...
Hello Forum,
Let's consider a particle that is giving an initial speed in a certain direction. The particle is now moving in that initial direction at a constant speed.
If a later moment a force starts acting on the particle and the force direction is not along the original particle...
Hello,
I would like to understand what exactly is meant by "calories" when we read for example that a chocolate bar has 300 kcal. I understand what is a (kilo)calorie.
What I do not know is whether the written values are the raw values in calories or if they are the values our body can...
Hello,
Do living beings use food to decrease the entropy of his body?
If so, could anyone explain the process of how we do it? (or at least name a couple of keywords that I can search)
Thank you very much.
Homework Statement
So, we can presumably write that m = g L, where L is the angular momentum, g the ratio wanted, and m magnetic dipole moment of an axially symmetric body. Total mass is M, total charge Q, mass density \rho_m(r)=\frac{M}{Q}\rho_e(r), where \rho_e(r) is charge density...
I have been looking for information about the way Radiotherapy works and, needless to say, there is much more involved than just local frying of tissue. I have been told and also read, that the dose received in tissue is not necessarily maximum at the surface. For instance, the dose seems to be...
In other words, are there any circumstances in which one object, captured by the gravity of another, would simply trail behind it indefinitely, instead of revolving around it or crashing into it? Is it possible? It seems reasonable to me that under certain circumstances it could happen, but...
1.
6. A 100 W light bulb is designed to operate with it’s filament at 2000K. If the filament
is a perfect cylindrical Black Body and 2 cm long,
i) What must it’s diameter be (3 marks)
ii) What will be the wavelength of the intensity peak in its emission. (2 marks)
iii) You...
Hello All,
I've been searching for days to try and solve this but I'm going round in circles so thought I'd fire it out to into the ether! I'm analysing a gantry system that is essentially cantilevered from one end but the part of the problem I'm struggling with can be simplified thus...
Car--Hill--Free body
A car coasts at a constant speed over a circular hill. Which of the free-body diagrams in the figure attached is correct? Explain.
My attempt:
I am thinking B. Since the car is at a constant speed, there's no acceleration. So there is no additional force acting...
Homework Statement
A cylinder of length 0.02m emits 100W and is at 2000K. It is a perfect black body. What is it's diameter?
Homework Equations
Planck's Law:
B(λ,T) =
http://en.wikipedia.org/wiki/Planck's_law
solid radian = A/r^2 (not sure if needed or not)
The Attempt...
The velocity of any point P of a rigid body in rotation plus translation is \vec{}vp=\vec{}vCOM+\vec{}vp,COM.
Now |\vec{}vCOM|=v and \vec{}vp,COM =rω .
But v and rω are same thing as v=rω ,so velocity of the particle every time will be √2 v.Then what is the difference between \vec{}vCOM and...
http://www.aapt.org/physicsteam/2012/upload/exam1-2011-1-3-answers_1.pdf
Homework Statement
You are given a large collection of identical heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is...
I've been trying to solve the following problem involving Angular Acceleration and the inertial tensor for about 2 weeks now. I know it's bad ask for a question to be solved, but I'm really at a loss here folks. I'm a high school student who has taken a physics class.
What I'm Trying To Do...