Homework #2
import numpy as np
import matplotlib.pyplot as plt
plt.style.use('fivethirtyeight')
Homework #2¶
Consider the slider-crank shown above. Two links are connected by pins to the ground at A and the piston at C. Link AB can rotate around A and link BC can rotate around C and the piston maintains contact with the ground.
Consider the following kinematic properties:
link AB L1=1 m
link BC L2=1 m
the angle of link AB rotates at a constant ˙θ1=1 rad/s
1. How many degrees of freedom does the slider-crank have? How many degrees of freedom and how many constraints?
2. The system begins to move with both links horizontal e.g. θ1=θ2=0o and rc=2 mˆi. Find the positions of A, B, and C for one full rotation, t=0...2π.
3. Plot the positions of B and C vs time.