All Questions
Tagged with homework-and-exercisesrotational-dynamics
852 questions
0votes
0answers
83views
Horizontal Force - Tilted Disk (Rolling Quarter) [closed]
https://physics.stackexchange.com/q/72610 Can someone unpack the origin of this horizontal force for me a bit? I can see a torque about the center of mass from the static friction $ mR\Omega^2 r \sin \...
-1votes
2answers
97views
Potential energy of a bead attached to a massless rotating hoop
When calculating the Lagrangian for a bead on a massless hoop of radius $R$, spinning along an arbitrary $z$-axis with angular velocity $\omega$, one has to use its potential energy. In this case, it ...
3votes
1answer
151views
How to describe the motion of inertial particles in non-inertial frames?
Imagine a rotating observer represented by the basis $B = \{\mathbf{\hat r}, \boldsymbol{\hat \varphi}\}$. This observer wants to describe the movement of a particle moving on a straight line ($\...
-1votes
1answer
62views
Physics IIT-JEE rotation question, getting two answers with two different approaches [closed]
Pulley System: Finding Acceleration and Angular Velocity I attempted to solve a problem involving two masses, $m_1$ and $m_2$, connected by a light string passing over a pulley of moment of inertia $I$...
-1votes
1answer
70views
A solid sphere is rolling with translational velocity $v$ m/s. If sphere climbs up to height $h$ then value of $v$ should be ______? [closed]
Note - 'surface is frictionless' I calculated- Total kinetic energy = $$\frac{7}{10} Mv^2$$ Translational Kinetic Energy = $$ \frac{1}{2} Mv^2 $$ But I am confused in the energy conservation part. ...
1vote
1answer
77views
Why are there two different tension forces on a continuous string in the pulley system shown?
In an ideal pulley system with massless and frictionless strings and pulleys, the tension is typically uniform throughout a continuous string, even when the system is accelerating. However, when ...
2votes
0answers
96views
How can the relationship $ r_1 T_1 = r_2 T_2 $ be directly derived for a massless rod from Newton's second law of translational motion?
I am trying to understand the derivation of the torque equation $ \vec{r} \times \vec{F} = I \alpha $ In my book, it is derived easily using Newton's second law for a single point mass $ m $ at a ...
1vote
1answer
51views
Why does body spin when released from other spinning body? [closed]
the situation is following: In space - no gravity, no air resistance - there is a spinning disk with angular velocity and mass. This disk is spinning around axis perpendicular to its face. On this ...
1vote
0answers
116views
Paradoxical Behaviour While Dealing with Rolling with Slipping (HW) [closed]
Edit: Ok, I don't understand how this counts as a 'check my work' question given that there is clearly a conceptual error here that I am not getting at. If my purpose was only to find out how to solve ...
1vote
0answers
87views
Sphere rolling on a circular path [closed]
The shown sphere is purely rolling on the shown surface $v=R\frac{d\theta}{dt}$ Also $v=4R\frac{d\phi}{dt}$ Thus , $\theta=4\phi$ At the same time as the sphere is rolling the distance rolled is equal ...
0votes
1answer
67views
Euler Angles Representation
I have an exam in two days in classical mechanics and I've encountered a question about Euler Angles that I did not completely understand: The question goes like this: Given two similar bodies as ...
1vote
0answers
91views
Can I use the conservation of angular momentum like this for a moving center?
I met a problem where I wanted to apply the conservation of angular momentum, but unlike my previous experiences, the center is in motion. Let a rod with length $l$ and mass $M$ be at rest on a smooth ...
1vote
1answer
55views
Potential Energy graph of a bead on a rotating ring [closed]
Consider a ring of radius $R$ and negligible mass with a small bead, that can be treated as a point object, on it. The two have no friction between them. When the ring revolves around its diameter, ...
0votes
1answer
29views
Why is the answer B in this problem with hanged rod in equilibrum? [duplicate]
the problem i have to solve. i dont understand why in order to couneract the Ty and Weight forces we have to draw an uppward force on the pivot and not downward
1vote
2answers
93views
Kinetic energy in rigid body motion
Let's consider a bar of length $L$, positioned vertically, which starts to fall over, in a way that its contact point does not move. The moment of inertia equals I. Find the function $\omega(\theta)$ ,...