I thought that would be something like, using similar counts from Einstein solid, ##S = kln(\frac{(q+N-1)!}{q!(N-1)!})##
Where q is ##hv##
v is frequency
But the results are not similar, so i am little stuck
I am really stuck at this question, i would appreciate any tips you have. I already try to goes with series but the calculation is getting harder and tiring, so probably this is not the right way.
PROBLEM
Here from the conservation of angular momentum I found angular velocity just before impact,
$$ H_1 = 0 $$
$$ H_2 = I_0\omega + mV_0d $$
$$ H_2 = 66\omega + 76.(1.2).(0.87)$$
$$ H_1 = H_2 $$
$$ \omega = 1.202 rad/s $$
But I couldn't solve it to find joint force.
Thanks in advance,
hi guys
i am having some truble solving a simple 2body problem in MATLAB , basicaly i have a table of data that came from a simulation of a satellite orbiting the Earth with 1 min interval between them , i will only take the first inital position and velocity from that table and i sould...
hi guys
i am trying to code an algorithm for computing the trajectory of a basic two body problem situation according to the equation
$$\ddot{r} = \frac{-\mu}{r^3} \vec{r}$$
i am trying to use the Euler method , but the problem is in converting this problem into a 3 separate equations one for...
I have done some lab work , and now i have to answer some theoretical questions , but i can not find any data about this on the web or atleast i don't know where to search , i will add some pictures of experiment for you to better understand it. I was wondering can someone share their knowledge...
According to this link https://www.sciencemag.org/news/2020/07/how-atomic-bomb-survivors-have-transformed-our-understanding-radiation-s-impacts even at radiation doses as low as 0.005 gray, there is still a risk of cancer over long term. I have read some Radiation Effects Research Foundation...
I know it is a quite simple task.
p = mv and F=ma.
All i need to do is find the normal and double derivatives of s(t). But here's the problem , i have the answers and they state that first derivative is v =
-Awcoswt and second is -Aw^2sinwt. Everything is quite clear to me, but I am wondering...
I think I've made a mistake with the vectors. I was trying to get to the same point as the original working (made by IWTSE, not me), but one of the sides of a triangle can't be 0. I would appreciate some help.
Hello,
When solving statics or dynamics problems, one important step is to draw the free body diagram (FBD) with all the external forces acting ON the system. The "chosen" system may be composed of a single or multiple entities. The external forces have components that must be projects on the...
Normalizing respect m, M, R and k then the normalized force for the case of the bar bell body aligned with the direction of R become Fn = 1/(1+x)^2 + (1-x)^2 is a vectorial sum but in this case the vectors are aligned
We can assume x<<1 but is not really material to the problem
For...
Hello forum, i want to make a samulation of a body. The body will be moved horisontal on y,x axis. I want on my simulation the body to change direction many times(for example i want to go for 10sec right and then left end right...). My question is does i need more than one differential equation...
Pondering over this thought experiment, a question comes to mind -- to which my brain sometimes replies "of course" and sometimes "no way!"A disk shaped satellite ("in zero-G") spins about its axis. There are two thrusters mounted as shown on two axial booms. The thrusters are fired briefly at...
I was watching a grey squirrel the other day who stood out amongst green leaves, and wondered whether there was a reason no mammals have evolved green fur (AFAIK?)? I'm aware there are a couple who allow green algae to grow in their fur (sloth and polar bears).
I mean we have weird things like...
I'm having a hard time solving this problem since I don't really know how to apply the weight force of the trap door.
Ideally, in order to find the contact force exerted by the rod, I would find out the weight force of the trap in the point of contact and then find its component radial to the...
Apologies for the noob question.
The frequency of the human body can be calculated based on weins law as follows:
Wavelength = 0.002898/310 = 0.00000934838 m
Plugging this into the equation λν = c we get
frequency = 299792458 / 0.00000934838 = 32069 Ghz
Elsewhere, I see that the resonant...
The normal reaction from the ground and from block m, the force of gravity are the forces I feel should act on the wedge but since the wedge is a perfectly rigid body and the pulley(which is massless) is attached to it so will tension also act on the wedge as well?
So I discover that a human body can affect a radio receiver. When I get close to a receiver, the radio produces buzz sound, which means that the radio signal is disturbed. However when I touch the plastic case of the receiver, the receive becomes normal.
This phenomenon does not happen every...
I was thinking - and reading a bit - about the size limit on accelerated frames, and there is an interesting and relevant result I found.
If we rephrase the question from "is there a size limit on an accelerated frame" to "is there a size limit on an accelerated body in irrottational born...
My attempt:
When the body is about to overturn backwards, the normal force and frictional force are applied on point A.
If I want to avoid overturning, torque must be 0. Then, I calculate torque with respect to A.
The value I get for h is negative, implying there is no minimum value for h...
Much like the previous question I've posted I was quite unsure of the the method I should take and resorted after many attempts to just trial and error which resulted in getting the correct answer of 5kg after dividing the weight of 70N by 14ms^-2 (sum of upward acceleration and gravitational...
I initially attempted to get the answer by multiplying the mass by 50, as I assumed if the upward acceleration was 5g then the weight could be found by just multiplying the mass by the acceleration of 50ms^-2. However that resulted in an answer of 3750 which was far below the correct answer of...
mgR = d(mvR + MvR + ½M(R^2)v/R)/dt
mgR = ma + Ma + ½Ma
mg = a(m + 3/2M)
v = mgt / (m+3/2M)
My answer is incorrect. The right answer is v = mgt/(3m+M), but I have no idea what I'm doing wrong.
When a ball is thrown upward it becomes at rest at maximum height, at this it is not in equilibrium although it is at rest. It is not at equilibrium because force of gravity is acting on it? Still I cannot find good explanation from exam point of view.I also cannot find the figure/diagram.
So I have always been thinking that equilibrium means that an object is not moving or having constant acceleration. On a webside they said: " A rigid body is in equilibrium when it is not undergoing a change in rotational or translational motion. " To me it sounds like the object then must not...
I have put a picture of the problem above. The picture below shows my free body diagram. Fg is the component of the gravitational force in the direction fo the tangent at the point of contact and Ff is the frictional force between the plank and cylinder. I put Ff in the opposite direction as Fg...
These days there is a question confuses me if it can be real or not.
2-3 years ago when I was looking around papers about computer sciences on the web, I came across to a sceintific paper which mentions an algorithm about analysing your language even it's a foreign language. So when you speak...
Lets say that a man with a standing height of 185cm bent his knee 30 degrees, how many centimeters will be reduced from his standing height? Assume his femur length is 60cm and his tibia (shin) length is 50cm.
Can anyone give me a hint?
I've tried to use trigonometry but i don't think i fully...
I am a high school science teacher working on arts integration for thirty years in schools where many students have academic skills below grade level. I am looking for feedback.
When I asked "Can we transfer the whole charge of a body to another body?"
my colleague replied:
"If charged body (say 5 Coulomb) is any charged conductor ##A##, it can be done by enclosing ##A## completely by second uncharged conductor ##B## and connecting them by a conducting wire ##B## will...
(I know how to solve the problem, that's not what I am looking for.)
I have a problem with how I ought to understand the moment of inertia. The only torque I see applicable on the wheel is that of the tension, and so I think that ##I## should be ##m_{\text{point}}R^2##, without including all the...
I think that the answer probably will be yes, but i have a question:
Well, with respect to center of mass that's right, but if i choose the axis passing through the contact point, the weight force will produce torque, even without the friction.
Here is the diagram of the problem:
and here is the answer of the question:
What I don't understand is equation 1 and 2.
The Hook's law states that F = -k(change in x)
Why the change in x1 equals to x1-x2+l? x1-x2 equals to the length of the compressed spring. I cannot convince myself that...
The calculations for the magnetic field produced by a uniformly rotating charged sphere can be found in basically every book on electrodynamics. I wonder what happen with the magnetic fields produced by rotating rigid solid that also present precession and nutation movements.
The question comes...
Basically, I want to know if my assumptions and workings are correct.
This is how I see this situation.
First, I'm viewing this body as a series of disconnected points, like I have in this animation I made, modeling purely rolling motion. Modeling the body like that worked in that case, and...
Hi, Questions in the title. I figure it might be like the food pyramid that I learned in grade school however I am not sure and of course to save time by avoiding all the BS out there, I came to ask here as I have done in previous threads. by foods and drinks, I mean for example: protein, fiber...
α is the second derivative of angle and w is the first derivative
In the free body diagrams the only force on A is the normal force since it is only constrained not to move vertically.
Have I drawn the free body diagram and kinetic diagram correctly?
By relating the accelerations of the...
The definition of rigid body says it cannot be deformed (theoretically). Now, Newton’s third law is caused (I mean the reaction force is caused ) due to the deformation of the body.
What I have learned is that every body is like a spring, when we push on it we compress it and hence feel a...
I'm inclined to say no, but am by no means certain. The total kinetic energy of a system of particles is $$T = \sum_{i} \frac{1}{2} m_{i}\vec{v_i}\cdot\vec{v_i} = \frac{1}{2} m_{i}(\vec{v_{COM}} + \vec{v_{i}^{'}})^{2} = \frac{1}{2}M\vec{v_{COM}}^{2} + \frac{1}{2}\sum_{i} m_{i}...
I'm posting the images of "Sommerfeld's Lectures on Theoretical Physics, Vol 2, Mechanics of Deformable Bodies"
I apologize for posting the images rather than writing out the whole thing. But I did it to so that nothing should be missed, as writing out the...
I see this sort of wording a lot, for instance, we might say that the block is on the point of slipping or the ball is on the point of leaving the surface of the hill. My guess is that it's to do with constraint forces; that is, at the exact point where the constraint forces acting on a body can...
If you are floating in space in your spaceship and you kick in the engines and accelerate at a comfortable 1G and you end up standing on the bottom of your ship, a slight curvature of space-time is formed, throughout the ship, perhaps immeasurable, such that without windows on the ship, you...
https://www.sciencedirect.com/science/article/pii/S0370269320301040#br0210
I need to give this more thought, but the ballistics section is pretty good, and I think their basic dE/dx argument is sound: If a collision at a ballistic rate transfers about the same kinetic energy to the human body...
My answer : Both pressures are equal, i.e. ##\boxed{P_A = P_B}##.
Reason : (1) The block of wood displaces an amount (mass) of liquid equal to its weight (archimedes' principle for floating bodies, or law of floatation). Hence we can imagine removing the block in the second case and filling it...
In thermal scanners in airports, subway, hospital and other stations to monitor the Coronavirus carriers. They point it at the foreheads, or is it the neck?
We use home fever thermometers on our ears or armpits and not forehead. What are the variations of temperature in different parts of the...
I have to assume that ##h## is the height of the body. The graph above shows how the apparent weight of the body changes as it is immersed into the liquid.
In (a), after immersing the whole height of the body, the apparent weight ##W_{\text{app}} > 0##. Hence the upthrust ##U < w_B \Rightarrow...
This bother me too much.
A black body is said to absorb every incoming radiation.
Looking at absorptance we have :
A=Φabs/Φreceived
So if a Black body absorbs everything we have A=1
Φ is a flux meaning object/time.
This means that whatever the wavelength a black body will absorb the maximal...
Hello everyone!
It seems I can't solve this exercise and I don't know where I fail.
By inserting the metric on the lefthand side of I. and employing the chain rule, the equation eventually reads (confirmed by my notes from the tutorial):
$$m\frac{\mathrm{d}p_\delta}{\mathrm{d}t} =...