# Questions tagged [kinematics]

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### Dimension does not appear in Denavit-Hartenberg formulation

Consider the robot and Denavit-Hartenberg table in the picture below The revolute axes of the robot intersect. Positive direction for the first revolute joint is to the right and that for the second ...
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### Index notation for the generalized form of the velocity field dependance on shear and rotation

Good day guys, I was studying fluid dynamics and came across the following equations (shown in the image): When we have both shear and and rotation, they each contribute to the change in velocity ...
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### Would placing sand bags on top of a car's strut housing reduce the jarring impact felt when the car hits a pothole?

I live in an urban area where many of the streets have pot holes and some of these streets have some very large and deep potholes. I have been wondering lately if it would be worth the effort to try ...
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### Friction force between two wheels at constant rpm

I have two tangent wheels pinned at their centers /which coincide with the center of mass/ and torque is applied to one of them (both roll without slipping). I want to find what force would they exert ...
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### How to compute the torques of a network of rotating objects with cycles?

I am trying to figure out how to compute torques in a network of rotating objects. I assume that each object has a given moment of inertia, and some objects are accelerated by external means. The ...
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### Complete classification of lower kinematic pairs

During research I keep seeing the statement saying that all possible lower kinematic pairs can be classified into one of 6 types, those being: Revolute Prismatic Screw Cylindric Spheric Planar While ...
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### Are double universal (Cardan) joints exactly constant velocity?

Some double universal joints use a centering joint to ensure that the angle of the input and output are equal to maintain a constant velocity through the joint. From what I can tell, this centering ...
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### How and why is kinematic control implemented?

First off, I apologize for what is likely a rather broad and formless question (and an even more broad and formless title). I'm a mathematician whose work sometimes carries him to control systems due ...
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### Kinematic description of a gear rack moving around a cogwheel

I am facing some issues regarding the kinematic description of a gear mechanism (or maybe more accurately gear manufacturing process). Basically I would like to obtain an animation, where the cogwheel ...
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### Accelerate an object in a current-carrying coil

I'm currently trying to come up with some concept ideas for a physics game / riddle. The player has to get an object from one side of a horizontal, current-carrying coil to the other end of the coil ...
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### Relationship between how fast a metal cylinder can spin on its axis without breaking or deforming?

For simplicity sake consider a solid metallic cylinder which is $2r$ in height with a radius of $r$. For a given metal and $r$, how to calculate how fast can this spin in terms of rpm for a very long ...
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In a robot or spacecraft attitude representation, using quaternion is relevant. The kinematic equation is as below $$\begin{bmatrix} \dot{q}_0 \\ \dot{q} \end{bmatrix} = \frac{1}{2} \begin{bmatrix} -... • 53 2 votes 1 answer 206 views ### Degree of freedom of a mechanism A mechanism popped up in my mind when I was studying kinematics, see picture below J1,\ J2,\ J3 are rotational joints and there are two translational joints J4 and J5 between two sliders and the ... 2 votes 3 answers 160 views ### Would a car slip down on a frictionless banked road and situation for friction road Here , we have a car on a banking road. Considering two cases : Frictionless and friction surface of the road. I give an initial velocity to the car by a push for a second. Then , the cases discuss ... • 679 1 vote 3 answers 2k views ### Why do I get pushed back when I’m in a car at high speed? When I’m in a car at high speed , I get kind of like pushed back if I’m sitting on the cars seat. How does it happen and why ? If I’m in a car , then I have the same speed as car and for the car , I ... • 129 0 votes 1 answer 43 views ### Resolving the forces into components [closed] okay so I am really struggling to see how to resolve the Normal reaction force and Weight into the r and theta direction please? Why is it that the angle is taken to the left of N and right of mg ... 1 vote 1 answer 131 views ### Inverse of quaternion kinematic matrix In a robot or spacecraft attitude representation, using quaternion is relevant. The kinematic equation is as below$$ \begin{bmatrix} \dot{q}_0 \\ \dot{q} \end{bmatrix} = \frac{1}{2} \begin{bmatrix} -...
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A block can slide on a smooth inclined plane of inclination $\theta$ kept on the floor of a lift. When the lift is descending with retardation i.e. $a \; m/s^2$. Find the acceleration of the block ...