Homework Statement
(Assuming all circular orbits)
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Say there is a star with mass M and a planet orbiting that star with a mass m.
The star M then suddenly loses half of its mass. (So now it is M/2)
What is the new radius of orbit of the planet around the star? Warning: Velocity will not...
Homework Statement
At the instant illustrated, which best describes the angular momentum of the ball and net torque on the ball, as measured around the origin?
L⃗ is in the kˆ direction, ⃗τ is 0.
Homework Equations
torque= (F)x(r)
Tension in rope= (mv^2/r)+qvbThe Attempt at a Solution
I am...
\dot{\boldsymbol{H}} = \dot{\omega} + \boldsymbol{\omega}\times\boldsymbol H
Suppose body's got an impulse and 's started to rotate about its principle axis, say z, No more external moment from this time.
So, Euler equations become
0 = I_{xx}\dot{\omega}_x − (I_{yy} − I_{zz}) \omega_y \omega_z
0...
Homework Statement
Question - Models of global warming predict that large sections of the polar ice caps will melt. Explain what effect this will have on the rotation of the Earth, however slight.
Homework Equations
L = Iw
The Attempt at a Solution
Assuming polar ice caps protrude the earth...
When a nucleus gamma decays, the gamma has its intrinsic spin of ##1\hbar##, but it can also carry away a significant amount of angular momentum in addition to that. Quadrupole radiation is very common, and in exceptional cases you can even get gammas with 5 or ##10\hbar##.
Now suppose I do the...
Homework Statement
A girl places a rock in a sling and begins spinning it in a circular path above her head. By exerting a force on the sling, she increases the rock's speed while it goes around her head a few times, before releasing the rock. Options:
1. She exerts a force on the rock that is...
Homework Statement
Two discs of different radii and masses are kept on a smooth horizontal table and both are free to rotate about their fixed central vertical axis. One of them is given some angular velocity while other is stationary. The rims are brought in contact. There is friction between...
Two hollow spheres, both the mass and radius R M , which are rotating around a center of mass ( CM ) , with an initial period To, are kept distant from each other by an ideal wire with a distance of 8R. At a given instant a motor is driven by wrapping the wire and making the two spheres meet...
Homework Statement
"Design an angular momentum demonstration. Back up your demo with a calculation(s)."
I was given two cylinders with adjustable ball bearings inside, and will have access to an incline once in class (the cylinders are designed to roll down it).
Homework Equations
I...
btw, we can use symmetry arguments on all of these...
a. For a particle in a state with known values of L^{2} and L_{z} with quantum numbers l and m, what is the expectation value of the angular momentum _vector_.
I have a feeling this should be very easy and I'm not thinking hard enough...
Homework Statement
A 100 g puck is attached by a length of string to a 500 g block of ice. The string passes through a hole in the centre of a horizontal, frictionless table, and, because it is revolving in a circle of radius 20 cm, the puck is able to support the ice. (Refer to attachment...
i don't know what a homework problem is...i don't go to school..all i know is concepts are cleared when you think about all concept's possibilities and it's application..here is yet another application of COM ND COAM...
suppose a sphere rolling with angular speed $ and center of mass speed v...
Homework Statement
First off, Thanks for taking the time to explain to me why how I'm looking at this scenario is incorrect! I already asked my professor about this, and while I certainly don't think he was incorrect in saying that the conservation of momentum laws prevent what I'm asking...
Identical spacecraft s A and B each of mass m are orbiting the Earth in different orbits...they both have the same perigee and at t=0 spacecraft A hits spacecraft B from behind
before impact speed of A was V[a]
and B was V and both a distance R from the centre of the earth
After the...
I'm doing some reading on quantum mechanics and have a quick question about angular momentum.
In the derivation of the eigen values of J (which is either L or S), it starts out like this:
Jz (Pm) = hm (Pm)
Where Pm is Phi sub m, h is h bar and m is the eigen value. (sorry my latex is a...
Seems easy enough - but could I get a check on this.
Thanks
Nautica
A 1.8 m radius merry go round has a mass of 120 kg and is rotating with an angular velocity of .5 rev/s.
What is its angular velocity after a 22 kg childs gets on its edge which was initially at rest?
First, I...