Questions tagged [dynamics]

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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 ...
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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 ...
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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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Steps to derive equations for length of a string in a yo-yo de-spin radial release system for a rocket?

I'm trying to derive the equation for the length of a string in a yo-yo de-spin radial release system for a rocket. I've found this equation $L = \sqrt\frac{((\omega_0 - \omega) K+\omega)^2}{((\...
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Dynamic spring tension [closed]

I have rope on a spool that is on a cart that is powered and moving at a constant velocity of 0.5 m/s. The end of the rope is passed thru a break and fixed to the wall. one break has a compression ...
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How to model projectile motion using dynamical system matrices

I'm trying to figure out how to model projectile motion which can be defined using a simple [quadratic] equation which defines projectile parabola: $$y = y_0 + v_{0y}t - \dfrac{1}{2} gt^2$$ I came ...
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Principle of work and energy

Figure Q1 shows a 10 kg block A, and a 100 kg block B connected by a system of pulleys and string. It is required to determine the distance block B travels when it is released from rest to the point ...
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1answer
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Angular acceleration and the moment of inertia

The wheel is made from a 10-kg thin ring and four 0,5-kg slender rods. If the torsinal spring attached to the wheel's center has a stiffnes $ k = 2 N*m/rad$, so that the torque on the center of the ...
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Newton Euler Formulation for open chain prismatic-revolute-prismatic manipulator

I am new to using Newton Euler method for modeling dynamics and was wondering if anyone could clear something up for me. The manipulator I'm trying to model is a PRP open chain robot like in the ...
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1answer
20 views

Effect of friction (or horizontal motion) on vertical surface deformation

I am trying to model the dynamics of some system. In summary, the system consists of one horizontal linear actuator that drives an object along a planar surface and one vertical actuator that brings ...
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69 views

Speed of the weight

a) If the 20-kg cylinder is released from rest at h = 0, determine the required stiffness k of each spring so that its motion is arrested or stops when h = 0.5 m. Each spring has an unstretched length ...
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Dynamics work and energy problem

Blocks A and B weigh 30lb and 15lb respectively, and they are both at a height 8ft above the ground when the system is released from rest. Assume the pulley is frictionless. Determine the speed of ...
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Engineering Dynamics Problem, n-t Coordinate System

I have shared the problem and my solution, as you can see I have used n-t coordinate system to solve this question by finding the relation between a(t) and theta but somehow in the end my answer comes ...
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3answers
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Resonance vs flutter

Is there any difference between resonance and flutter. Both of them are related to overlap of external excitation frequency and Natural frequency then increase in amplitude even inifite amplitude ...
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1answer
27 views

How to model a driven wheel with no slip

I'm working on a design problem, and I'm having trouble figuring out how to model the torque needed to drive a bike tire at a set acceleration. Let's say I have a tire with normal force between tire ...
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1answer
38 views

Motion of gears [closed]

Gear A and B will have the same speed and tangential component of acceleration at the point where they mesh.why? From plane motion of rigid bodies energy and momentum methods.
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Frequency domain analysis of steering system of a car

Can anyone share the equations involved, or some relevant theory material for frquency domain analysis of steering rack and pinion using bode plot?
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1answer
22 views

Centroid and toppling [closed]

A uniform block is in the form of a square ABCD of sides 2 m and a unit thickness. E is a point on AD such that ED = xm. The portion EDC is then removed from the block. What is the maximum value of x ...
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Calculation of natural frequency in a hinged beam

What I tried: Using the conjugate beam method to find deflection and hence stiffness of the beam, but I am unable to find reactions in the conjugate beam.
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Find the impulse of a semicircular plaque rotating around an normal axis

I have some trouble finishing this exercise. Hoping someone can help me or at least guide me in the right direction. Ex: Given a semicircular plaque of radius R and mass M, which rotates around a ...
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How to run a steady state dynamics, Modal step based optimisation using TOSCA?

What design responses must be given in the TOSCA gui. I chose volume reduction as an objective function with the constraints of displacement. Is this approach correct?
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1answer
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Can a rolling wheel create a side force without first rotating on a vertical axis at its contact patch? [closed]

There is something wrong with the way we describe how a cornering vehicle wheel creates a cornering force. I think a rolling wheel must first rotate on a vertical axis to then create the cornering ...
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1answer
57 views

Pulley question: Which 10N block will accelerate faster?

Background: My professor for system dynamics at my university gave us an engineering dynamics concept quiz. A particular question I am interested in presented two figures I have re-drawn below. The ...
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1answer
80 views

Dynamics of a rigid body in a system of two linear drives

I've been trying to solve the dynamics of this system for quite a while, but cannot seem to get the right answer. I've tried solving it with Lagrangian method but I am not so confident with the ...
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1answer
178 views

Deriving the equations of motion for free-floating spacecraft with a single link robot arm

Note: I had previously posted this question on the Space and Robotics SE sites, but received little/no response. So I've deleted the previous posts and repasted my question here in the hope of ...
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1answer
66 views

Inertia relief in ANSYS - rotating model

I'm trying to use ANSYS to solve statically a dynamic problem. As shown in the image below, there is an orange bar that is constraint to slide horizontally only and attached to another bar (pink) ...
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1answer
36 views

In equilibrium is engine torque zero? Vehicle dynamics

Consider following equations for a driving wheel in a car. $$ J\dot{\omega} = T - F_x R - F_r R \\ m\dot{v} = F_x + F_r $$ where $J$, $\omega$, $T$, $F_x$, $R$, $F_r$, $m$, and $v$ are wheel inertia, ...
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Two Dimensional Kinematics

Attempting this kinematics question but not really understanding if what I'm doing is right or completely wrong. Should I be starting by finding Vp? Any help appreciated. Not an assignment, just ...
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1answer
53 views

How are all LTI systems also dynamical systems?

How are all LTI systems also dynamical systems? I understand that LTI systems are linear and time invariant and that dynamical systems describe how one state develops into another, but how would this ...
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1answer
69 views

Fluid dynamics of a valve

I am new to fluid mechanics and am trying to understand the fluid mechanics of a simple valve. Let's assume we have a simple tube, which is supplied with a constant stream of liquid using a pump. At ...
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1answer
52 views

Vertical component of force for rigid wheel hitting a step

My question relates to finding the vertical component of force due to a rigid wheel hitting a rigid step. I know the details of the step and I know the horizontal velocity of the wheel. I'm using the ...
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2answers
58 views

Power decreases as the diameter increases

I have a question about the use of a servo motor. I need to lift a load of $130\ kg$ with two servo motors with $13\ Nm$. The diameter of the shaft is $Ø40\ mm$, ie, $r=\ 20mm$. $1\ N = 1\ Kg\ *\ 1\...
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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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1answer
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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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1answer
33 views

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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34 views

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 ...
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2answers
314 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 ...
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2answers
42 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 ...
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1answer
51 views

Isolating vibrations originating from my machine

I'm developing a machine with a reciprocating motion (mass: 50-100 kg, period: 1.35 s, accelerations: 1 g). This machine is part of a process line, and I don't want the resulting "shaking" to ...
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63 views

I want to know the water flow rate from a certain height knowing the flow rate at near the ground level

I used a bucket to find out that at 1 feet high (a garden faucet) the flow rate from an half inch pipe is 1 gallon in 26 seconds At 3 feet high (face basin) the flow rate is 1 gallon in 30 seconds at ...
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What constructive solid geometry CAD programs can accurately model and simulate structural rope, cable, pulleys, and dynamic motion elements?

It seems that flexible objects just don't model well in many popular constructive solid geometry (CSG) CAD programs. Most CSG modelers seem to assume exclusively rigid bodies with sharply defined and ...
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How to control an underactuated platform with a single servo

What's the best way to control the following type of platform so that it remains balanced and upright? It's a box supported by a single leg that can pivot at the foot (F) and at the hip (H). The foot ...
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1answer
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the possibility of a breakwater/seawall preventing the beginnings of a landslide-formed tsunami [closed]

. . A thought recently crossed my mind which I cant seem to find any studied material on. It occurred while hearing a story about a potential future landslide in Kauai causing a large tsunami aimed at ...
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1answer
124 views

System Dynamics Modeling

I am trying to model this system but am having difficulties in setting up the equations of motion. This is a simplified model of a motorcycle suspension system, where P is the ground in the image ...
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1answer
66 views

Torque and angular acceleration

I have got 19.6 as the answer for (a) but the book tells 14 is the answer. Can someone tell what mistake I have done or is there in the book.
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1answer
125 views

Questions regarding Cornering Stiffness for RC Car

I am a bachelor's level student tasked with modeling the vehicle dynamics of an RC Car that will be made to drive autonomously. I lack prior experience or particularly specific education with vehicle ...
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1answer
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Would a partial space elevator work? [closed]

Background The normal space elevator (that reaches from the Earth's surface to a counterweight beyond geostationary) needs a material that's strength/weight ratio is better than any material we have ...
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Relation between ride frequency and wheel deflection of a car

I am not able to understand the relation between ride frequency and wheel deflection of a car, as per given in Race car vehicle dynamics book by milliken. Is it something to relate with harmonic ...