- #1
mrknowknow
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Homework Statement
A problem like this is on my final tomorrow and I can't seem to get past part C...Please Help!
A .321 kg, .27m radius thin shelled ball rolls (starting at rest) 3.82m from the top down a 35° 10.0m long incline without slipping. After the 3.82 m, the incline becomes frictionless for the rest of the board. After .8m of the frictionless unencumbered movement, the ball reaches a frictionless massless spring with a spring constant of 20 N/m.
a. How fast is the center of mass of the ball going after 3.82 (linear speed)
I solved for v using mgh=1/2mv^2 + 1/2(2/3MR^2)(v/r)^2
so v= 5.076 m/s
b. How fast is the ball rolling after the 3.82 m (angular speed)
v/r=5.076/.27 = 18.8 rad/s
c. How much does the spring compress?
d. what is the ball's maximum linear speed?
e) what is the balls angular speed when the spring is fully compressed?
Homework Equations
I tried using vf^2=vi^2+2(9.8sin35).8
to get the velocity before it hits the spring
The Attempt at a Solution
I'm using 1/2mv^2=1/2kx^2
and solving for x but I'm not getting the right answer!