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Results tagged with homework-and-exercises
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user 27339
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
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Escape from gravitational field
Why total energy of a spacecraft must be non-negative if we want spacecraft to escape from the Earth's gravitational field?
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1
answer
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Velocity of a spacecraft in a circular orbit [closed]
What is a formula for velocity of a spacecraft in a circular orbit?
Also, on side note, is there a formula or I can find it from equation of motion?
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1
answer
78
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Conservation of energy constant
A particle $P$ of mass $m$ moves under the repulsive inverse cube field $\vec{F}=\frac{m\gamma}{r^3}\vec{e_r}$ ($\vec{e_r}$ is a unit vector along a position vector $\vec{r}$).
Initially $P$ is at a g …
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0
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1
answer
151
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Calculating angular momentum
A particle of mass $m$ is at a very large distance $p$ from origin $O$ and is moving with velocity $\vec{V}$ which is perpendicular to $\vec{OP}$. I have to calculate angular momentum $L$ of the parti …
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2
answers
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Conditions for Conservation of energy law
In two-dimensional motion, which conditions are needed to be satisfied so the conservation of energy law holds? (for example, simple pendulum motion)
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3
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2
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153
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Stability of equilibrium points
For a spinning top, the linearised equation in the angle $\theta$ when the top is spinning about its axis of symmetry, which is vertical, is of the form $$A\ddot\theta+\left(\frac{C^2n^2}{4A}-Mgh\righ …
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1
vote
1
answer
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Applying Lagrange's equations ignoring normal reaction
A small bead is sliding on a smooth vertical circular hoop of radius $a$, which is constrained to rotate with constant angular velocity $\omega$ about its vertical diameter.
$\theta$ is an angle betwe …
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2
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1
answer
1k
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Beads sliding on a hoop
Two particles, $P_1$ and $P_2$, of equal masses $m$ are linked by a spring of stiffness $k$ and natural length $a$. They are sliding freely without friction along a horizontal fixed hoop of radius $R$ …
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3
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Setting Lagrangian [closed]
Can you help me to set Lagrangian?
I found that
$$\vec r_A=b\sin\theta\vec i+b\cos\theta\vec j$$
$$\dot{\vec r_A}=b\dot\theta\cos\theta\vec i-b\dot\theta\sin\theta\vec j$$
For point $G$ I've got …
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1
vote
0
answers
388
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Motion on a smooth surface
A particle of mass $m$ is moving on the inner side of smooth circular cylinder of radius $R$ whose $Oz$-axis is vertical and directed downwards. The particle started its motion from the $x$-axis with …
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0
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1
answer
2k
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Rotating frame of reference
Can you help me to do this:
Two frames of references $S$ and $S'$ have a common origin $O$ and $S'$ rotates with constant angular velocity $\omega$ with respect to $S$.
A square hoop $ABCD$ is made …
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3
votes
1
answer
891
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Question on Binet's equation
Is there a difference in Binet's equation when the force acting on a body is attractive and repulsive?
I mean, if the force has a magnitude $F(r)$, is it Binet's equation always $$\frac{d^2u}{d\thet …
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