All Questions
Tagged with torque rigid-body-dynamics
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Determining Equivalent Point Forces for a Rigid Body Given Net Force and Torque [closed]
Consider a rigid planar body subject to a force field, such as the gravitational interaction between polygons in a 3D space described in this question.
Given:
The net force acting on the rigid body
...
- 382
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1
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64
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Can torques cause both transitional and rotatory motion?
Imagine a rod (a rigid body) 10 meters long that is freely floating in space without being attached at any point. Its mass is 12 kilograms and according to most sources I found, its moment of inertia ...
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3
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154
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What happens if we prevent gyroscope to precess?
If we apply some torque to spinning wheel in a vacuumed space in body frame y axis, wheel try to precess due to gyroscopic effect but it will be prevented by obstacles as seen from picture,
what will ...
- 21
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43
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Torque at only two points of contact between a rope and a disk (rigid body dynamic)
In physics, particularly when dealing with rigid bodies, there's a common practice of calculating torque at only two points of contact between a rope and a rotating disk, typically at the extremes ...
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Energy conservation for a rolling rigid body
I came across this question where
A solid cylindrical body of mass m and radius r rolls without slipping over a smooth inclined plane. Its initial velocity is v. What would be the maximum height ...
- 83
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45
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How to determine the torque required to decelerate a rotating arm?
I am working in CAD on a robotic arm and wondering what is the appropriate way to determine Torque required from my actuator to decelerate the arm moving at some speed.
Below I included a quick sketch ...
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2
answers
114
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Proof of Newton's second law of rotation for rigid body
I'm reading over my lectures notes on rigid body dynamics and I'm trying to prove as many results as possible. However I can't seem to prove that $\tau = \frac{dL}{dt}$ for a rigid body, where $\tau = ...
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50
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What is the formula for how a force affects linear motion on a rigid body?
Say a body (two glued spheres will do) hits a ceiling, and the balls and ceiling are the only things in the universe. I translate the point of impact to the center of mass, calculate my lever arms, ...
- 121
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Free Body Diagram of Precessing Top
Consider a heavy, symmetric top spinning on a table, initially inclined at some angle from the vertical. Assuming this angle is fixed, it follows that the weight $\textbf W$ and normal force $\textbf ...
- 67
4
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2
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790
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Like force, does the rotational effect of force/torque require some finite time to travel through a real body?
Let's say I am using a long wrench to unscrew a tight bolt because the formulas developed in rigid body statics states that the moment arm should be longer for minimal force application. But how long ...
- 51
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90
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Is there a way to explain torque and Euler's Laws of Motion from Newton's Laws
If I have a rigid rod and I apply a force $\vec F$ distance $r$ away from the centre of mass the torque on the rod is $\vec r \times \vec F$ from the centre of mass and the torque causes the rod to ...
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Calculate rotation from net torque and inertia matrix
I am trying to grasp the concepts of forces applied to a rigid body resulting in a net change of the rotation of the object.
This is not a home assignment and I read some resources on both the web and ...
- 113
2
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1
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82
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Why don't bike wheels behave like a gyroscope when you turn them?
Let's say we have a bike pointing forward in the $+z$ direction into the screen. It's moving in the $+z$ direction hence the wheels have angular momentum in the -x direction ,which is towards the left ...
- 135
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2
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111
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How exactly does (the weak form of) Newton's third law hold in the case of a force applied onto a lever?
Suppose we have an ideal massless lever with a fixed pivot point and a mass $m_{1}$ (at radius $L_{1}$) on one end and mass $m_{2}$ (at radius $L_{2}$) on the opposite end, and assume gravity plays no ...
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Intuitive idea behind the moment of inertia, torque
I'm not sure what idea I have of the concept of twisting moment, moment of inertia. The moment of inertia of a particle is $mr^2$. The torque indicates how much force $F$ applied at a distance d from ...
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