# Questions tagged [dynamics]

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31 views

### Position vector to Velocity vector

Is it possible to derive velocity vector form position vector without unknown such as: position vector of A = (0.8)i + (1.2)j?
28 views

### How do I change the coordinate system from x-y to n-t or r-theta by using Matrix? [closed]

How do I change the coordinate system from two dimensional cartesian to two dimensional curve linear and polar by using Matrix?
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### The optical encoder resolution

The optical encoder has a code wheel with a single track of slots and two photodetectors. The photodetectors are positioned so that they produce signals with a 90 degree phase difference. I want to ...
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### Motor, a gearbox and a drum with a cable lifting a mass

A lifting device consists of an electric motor, a gearbox and a drum with a cable for lifting a mass. The speed after the initial acceleration is $v=0.5\,\text{m/s}$. The gear efficiency $\eta=0.7$ ...
42 views

### Moment of Inertia

To calculate the moment of inertia at o, I tried to apply (1/3mq^2) but I am not sure if it is correct. Any help would be appreciated.
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### Inertial Forces while analysing forces on a Piston in a Slider - Crank Mechanism?

I get that we are analysing the Piston in a non-inertial frame of reference, but the point of my question is that according to D'Alembert's Principle, whenever an inertial force comes in the line of ...
39 views

### Ball and Socket Wheel Concept

I am sure you all remember those prehistoric computer mouses that had a ball under it. I'm looking for any points and tips on how to create a ball and socket wheel that has an almost frictionless ...
34 views

### How to calculate traction force w.r.t. rotational speed of a shaft mounted at a certain angle on a surface?

I am designing a new mobile robot platform and i need a generic solution for the robot in order to establish a proper mathematical modeling. My question is about calculation of the traction force of ...
16 views

### How can I validate the validity of a model of a dynamical system?

I derived a non linear differential equation system for a mechanical system. However I doubt the correctness of it. So I compared the model's dynamics with a VREP simulation. I did this by by Euler ...
46 views

### Are these force components right?

Would you also decompose the centrifugal force this way? $m_{tot}$ is the total mass of the Hyperloop. $a_c$ is the centripetal acceleration. $\beta_a$ is the angle formed by the air bearings with ...
33 views

### Approaches to whether a projectile gets intercepted

Hi everyone, How do I approach questions like part (ii)? From what I understand now, I believe the shortest method is that as long as the ANGLE of the relative velocity of B with respect to velocity ...
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### Would a plane lift from ground if in a free treadmill?

I was wondering if the force generated from the engines of a jet plane would lift it up from the ground if in a free treadmill. Would it take off?
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### Damage differences in frontal collision of two vehicles and their speed

Please check this newspaper article and its pictures and the video in it: Article It contains photos and a video of a frontal crash between two vehicles of a trolley line. From the photos, it seems ...
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### Mechanical vibrations: kinetics of kinematics?

In books of dynamics, I normally see topics in kinematics and then in kinetics, and finally a last chapter on mechanical vibrations dealing with SDOF and MDOF systems. But I do not see any book ...
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### Finding out torque in a viscosimeter

I am solving problems through Fox and McDonald.Here is the problem I tried by finding out the torque due to viscous forces which is $$\tau_1=\mu(2\pi Rh)\frac{R\omega}{a}$$ and the torque due to ...
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### Linearly Damped Harmonic Motion with Sliding Friction

In Problem 2/54, I have come up with a solution only one decimal place off from the books results. I am posting to see if someone can look over my solution to see if it is correct. To begin the ...
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### Damped harmonic motion with dry friction

So I'm a hobbiest who loves doing and learning about different subjects. Often I run into difficult problems that I normally can find solutions to however this one stumped me, I have reviewed many ...
682 views

### How would I calculate the torque need to move the trailer?

I want to find out how much torque will be needed from my motor if I want to pull a mass. So imagine a car towing a trailer.How would I calculate the torque need to move the trailer? I found the ...
44 views

### How to calculate the max torque due to angular momentum of a beam given motor specs

I have non-rigid beam attached to a gearbox and motor assembly. The gearbox outputs $1000 N \cdot m$ at the shaft. The beam is rotated at $3000 RPM$ around it's center. If the motor is switched off ...