Spring force:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{k}}{\mathbf{x}}}$

Centripetal force:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{m}{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}{\mathbf{=}}{\mathbf{m}}{\mathbf{r}}{{\mathbf{\omega}}}^{{\mathbf{2}}}}$

ΣF = mRω^{2} - kx = 0

mRω^{2} = kx

An object of mass *M* = 5.00 kg is attached to a spring with spring constant *k* = 220 N/m whose unstretched length is *L* = 0.180 m , and whose far end is fixed to a shaft that is rotating with an angular speed of *ω* = 2.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 2.00 radians/s

Assume that, at a certain angular speed ω_{2}, the R becomes twice L. find ω_{2} in radians/s

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Rotational Velocity & Acceleration concept. You can view video lessons to learn Rotational Velocity & Acceleration. Or if you need more Rotational Velocity & Acceleration practice, you can also practice Rotational Velocity & Acceleration practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Staff's class at TAMU.