Homework Statement
I am trying to solve for change in velocity for the center of a rim with respect to the contact patch of a tire that has some degree of camber. The equation finalized is shown in the image below, equation 2.6.
http://imgur.com/a/oHucp
Homework EquationsThe Attempt at a...
just in case anyone comes across this... δ1 is actually x-rθ and δ2 is x+rθ... then ΣF=ma turns into -k(x-rθ) - mg + k(x_in-x-rθ) = mx". do the same for rotation and torques then solve
Homework Statement
Thin uniform disk with radius r, mass m, and moment of inertia 0.5mr2 is suspended from a cable line where one end is attached to a set point via a spring, and the other end is also attached to a spring but is moving in an upwards direction. Solve for the equations of motion...
Homework Statement
http://imgur.com/a/X7mWA
Homework Equations
1. ΣF = m a
2. Στ = Iθ"
The Attempt at a Solution
First , assuming small motion, all movement of the scale can disregard x components (so the spring stretches only in vertical direction without an impact from the x directional...
Homework Statement
Homework Equations
v = w x r
The Attempt at a Solution
I got the answer correct after a few tries, but I am little confused on why it has to solved this specific way. I know that v = w x r, so why can I not just say w = v/r? Is it because w is measured from the center of...
Homework Statement
Determine the angular velocity of the gear at the instant shown. Set v = 9ft/s and vc = 6ft/s. Assume counterclockwise is positive.
Homework Equations
v = w x rIC
The Attempt at a Solution
I tried solving this many times using va = v0 + (ω x ra0 ) and vb=v0 + (ω x rb0 )...
Homework Statement
The masses of blocks A and B are 2 kg and 3 kg, respectively. Block A slides to the right on the smooth surface and strikes the spring attached to stationary block B. The spring deforms during the collision process. What quantity do the blocks have in common at the instant...
If you do that then you will have two components of acceleration (in the x AND y direction) and so your definition of N would involve more variables than the ones they allow, or at least would involve a lot more manipulation to isolate N.
Convert km/h into the same units as your acceleration - so if using 9.81m/s2 convert km/h into m/s. You are only dealing with one direction so there isn't a reason to apply any conversion of degrees.
Homework Statement
Small mass sits on a circular revolving table, 200 mm from center. It is given a constant angular acceleration of 2 rad/s. The static coefficient of friction is 0.2. At what angular velocity will the mass start to slip?
Homework Equations
ar=v2/r
ar=r''-rθ'2
aθ=rθ''+2r'θ'...