- #1
murrskeez
- 13
- 0
Homework Statement
Consider a mass sliding down a frictionless curve in the shape of a quarter circle of radius
2.00 m as in the diagram. Assume it starts from rest. Use Euler’s method to approximate
both the time it takes to reach the bottom of the curve and its speed at the bottom. Hint: Define the position and acceleration off the mass in terms of the angle θ. Let Δt=0.2.
2. Homework Equations
s=rθ
tn=tn-1+Δt
xn=xn-1+vn-1Δt
vn=vn-1+an-1Δt
an=ΣF(tn)/m
The Attempt at a Solution
x(θ)=2θ
a(θ)=9.8cos(x(θ))
I know i need to find a way to make it so the angle is changing in small increments as I add the numbers up, but I'm not sure how.