Initially ΔEint= 0 because the spring is not compressed and the block is attached to the reel. When the reel is wound counterclockwise the block begins to rise, it gains potential energy due to gravity and the pulley experiences kinetic energy as it rises. I'm not quite sure where to go from...
Kinetic energy of the block must be equal to the spring energy? I assume this since the block will fall with potential due to gravity, during this fall it will gain kinetic energy and it is the accumulated energy that will transfer into the spring. Which means that 1/2mv^2 = 1/2kd^2.
So it...
Homework Statement
---Find Angular Speed---
Homework Equations
I = 1/2 mR^2
Ug = mgdsinθ
Us = 1/2 kd^2
KE = 1/2 I w^2
The Attempt at a Solution
Moment of inertia of reel = 1/2mR2
Kinetic energy of the reel = 1/2 mv2 = 1/2(1/2mR2) w2
KE = mgdsinθ (potential due to gravity) +...
Representing the lines in equations
So I know that the line:B can be graphed with y = mx + b, which I resolved to equal y = 0.5x + 30. For line:A, I am having trouble representing it in an equation form. It appears to be quadratic, therefore it should be represented with y = ax^2 + bx + c...
The figure below shows a velocity versus time plot for two objects; they are at the same point at
t = 0.
Homework Statement
Do the objects ever have the same displacement? If so, when does that happen?
Homework Equations
Δd = ((velocityi+ velocityf) / 2) Δt
acceleration = change...