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...
No, but here is all of the text:
The Evil Physics Monkey takes a giant inflatable dinosaur down to the bottom of
the tank, ties him there, and inflates it, raising the pressure by 1 atmosphere. What happens
to the vat of heavy water (quantitatively)?
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?
I'm sorry that I'm not getting this yet. Soon or later its going to click. All my common sense tells me that the ramps horizontal force is acting along the normal of the block and that I need it to solve the problem.
If I have the force of the ramp as m*a:
Fblock = m*a, I can solve for a =...
I'm just not sure what forces I have to cancel here. I've got a force down the slope, I've got a force of gravity pointing down, a normal force pointing perpendicular to the slope, and a force pushing horizontally on the block.
Is the force that the ramp is exerting on the block all in the normal force? And the normal force has a vertical and horizontal component?
After doing some trig I came to the answer that the ramp must push horizontally at m*g. Which happens to be the vertical force on the block. Is this...
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)