- #1
Trentonx
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Homework Statement
Two identical blocks are tied together with a string and placed along the same radius of a turntable that is spinning about its center. The inner block is 4 cm from the center and the outer block is 5 cm from the center. The coefficient of static friction between the turntable and the blocks is µs = 0.71, and the string is taut.
What is the maximum angular frequency such that neither block slides?
Homework Equations
a_c = (V^2)/R
w = 2pi/T
a_c = (w^2)R
F = ma
The Attempt at a Solution
Sum of force on inner block (known to be zero0
0 = µmg - T + m(w^2)R1
Sum of force on outer block (also zero)
0 = µmg + T + m(w^2)R2
I then took the two tensions to be equal, solved for one, then substituted in the other an solved for w, the angular frequency.
-T = µmg + m(w^2)R2
inserted
0 = µmg +(µmg + m(w^2)R2) + m(w^2)R1
masses cancel
0 = 2µg + (w^2)(R2+R1)
w = 1.24
Where did I go wrong?