The first part is to find a quadratic parametric curve f(t) = (p1(t),p2(t)) which passes through the points (0,0) (1,1) and (2,1). (hint: find two interpolating polynomials, one for x and one for y)
Second part is to find the control points for the curve( ie. change...
There is a "cannon" pointing downwards with a spring inside where an object is inside and compressed up 1 meter.
mass of object = 50.0kg
k = 49050
height = 0 at bottom of cannon.
Potential energy at start = mgh + 1/2kx^2
Kinetic energy at end = 1/2mv^2
I had to first solve for the object...
Derive an equation for velocity based on time with drag.
The equation is: v(t) = F/b (1 - e^(-bt/m))
The Attempt at a Solution
There's some math on paper, but I got down to:
F - bv = ma
a = dv / dt
F - bv = m*dv/dt
dt = m*dv / (F -...
A 160kg box is on a plane with an incline of 35 degrees. A rope is attached to the box and a pulley at the top of the ramp and has a tension of 1240 N. The static coefficient of friction is 0.45. Will the box move up the ramp? If so, what is its acceleration?
A block of mass M is on a plane with an incline of Theta. What horizontal force must the ramp be pushed so that the block does not move relative to the ramp.
This is to be solved generally.
Force of gravity on block: m*g*sin(theta)