# Tag Info

Accepted

Accepted

### Finding cubic polynomial equation for 3 joints

I guess you want to find a cubic polynomial for the end effector. You have 3 coordinates for your points A and B, from your question is not clear if they are $x,y,z$ or $x,y,\theta$. Anyway, I'll show ...
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### Motion planning and robot controlling

The model you have given is called the unicycle model and is widely used n robotics. In general the model is given by \begin{eqnarray} \dot{x} &= v\cos \theta \\ \dot{y} &= v\sin \theta \\ \...
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### Why don't bipedal robots ever feature natural movement?

From my side I can provide two remarks. First the human have elastic actuators (muscles) with a lots of sensors for balance. Whereas robots have mostly rigid actuators with a few dampers here and ...
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### Quadrotor SE3 Controller: Calculating Rd_dot

In this paper rotation matrices are used to describe the orientation of the quadrotor. This is chosen because each orientation as a single representation (contrary to quaternions) and gimbal lock is ...
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### Explanation for exponential coordinate of rotation

First note that $p(0)$ travels along an arc of the circle of radius $r = \Vert p \Vert \sin(\phi)$ centered at a point on the axis of $\omega$; and the velocity $\dot{p}$ is perpendicular to the arc ...

### A powerful pull/rotate device that provides a certain (controllable) force?

If I understand your question correctly, it seems to me that you are looking for a DC torque motor (brushed or brushless) with a suitable sensor attached to the load or to the output shaft. The sensor ...

### Bump and turn toys: how do they work?

There's two parts. The wheel you're remembering is a castor wheel that's designed to stick at straight forward when the car is going forward, and will turn to about 20 degrees when the car goes ...

### Name of imitating motion technique in Robotics

A robot manipulator that’s designed to mimic an operator in real-time can be called a “waldo” or "telemanipulator". The term "waldo" originates from Robert Heinlein, and was widespread enough at least ...
In Lagrangian mechanics, you're required to deal with the generalized forces and the concept of virtual work $\delta W$. In our case we have:  \delta W_{F_x} = F_x \cdot \delta q_1 + F_x \left( -...