Homework Statement
A uniform rod of mass m_1 and length L rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass m_2, are mounted so that they can slide along the rod. They are initially held by catches at positions a...
Well I got that part figured out but I can't get the next part.
1.
How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero?
2.
Deltatheta=.5(w+w0)t
revolution=(1/2pi)radians
3.
Since the...
Homework Statement
At t=0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by theta (t) = ( A)t-( B)t^{2}-( C)t^{3}
At what time is the angular velocity of the motor shaft zero?
Homework Equations
quadratic
The Attempt...
1. Homework Statement [/b]
y'=4x–y+4; y(0)=8
2. The attempt at a solution[/b]
This is simply a first-order DE
So:
y'+y=4x+4
P(x)=1
Q(x)=4x+4
p(x)=e^x
So that ends up being:
ye^x=(4xe^x+4e^x)dx
Integration:
ye^x=4xe^x-4e^x+4e^x
ye^x=4xe^x
divide by e^x
y=4x+C
y=4x+8...
Homework Statement
A physics student playing with an air hockey table (a frictionless surface) finds that if she gives the puck a velocity of 3.82 m/s along the length ( 1.65 m) of the table at one end, by the time it has reached the other end the puck has drifted a distance 2.47 cm to the...
Homework Statement
A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't...