# Euclid's Muse

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# Search Results for “mechanical-expressions”

##### Ball Throw Modeled with Mechanical Expressions
A simulation of a projectile created using Mechanical Expressions. The Mechanical Expressions model for a projectile involves constraining the coordinates of the point, giving the coordinates velocity (vx,vy) and setting the constraint to be free to accelerate. A mass has to be given to the point. Simulating the motion is done in the app.

Tags: projectile, parabola

##### Quick Return Mechanism
Crank CD rotates at ω rad/sec.  Torque required to accelerate a mass at E is output in this inverse dynamic app.

Tags: mechanical-expressions

##### Crank Slider Torque
Resultant torque of a crank slider mechanism with unit applied force.

Tags: mechanical-Expressions

##### double pendulum
A double pendulum can yield chaotic motion.

Tags: chaos, mechanical-expressions

##### Trebuchet
The Trebuchet attains a higher velocity for the projectile launch when it is mounted on wheels. In this model, the projectile weighs 1 kg.  You can change the weight of the counterweight and of the trebuchet frame. To model the situation where the trebuchet is not mounted on wheels, make the frame extremely heavy.

Tags: mechanical-expressions

##### 4 Bar Linkage Kinematics
We calculate the velocity and acceleration of the end effector E, given a 1 rad/sec angular velocity of the crank.

Tags: mechanical-expressions

##### Pendulum Spring Mass
A simple chaotic mechanism comprising a pendulum attached by a spring to a mass which is free to slide horizontally.

Tags: mechanical-expressions

##### A Chaotic Flywheel
The left hand flywheel is driven at a constant velocity. The right hand wheel is connected by a spring, whose natural length is equal to the distance between the centers of the flywheels, and whose stiffness is k. Output is the angle (in radians) of the flywheel. Note that when k is approximately 5, the motion is regular. Try different values of k, and observe the onset of chaos.

Tags: Mechanical-Expressions, Mechanics, Chaotic, Flywheel, Spring, Simulation

##### 4 bar linkage pendulum
A mass on the end of the linkage causes it to oscillate.

Tags: mechanical-expressions