Simple harmonic motion of a spring

AI Thread Summary
The discussion focuses on calculating the angular frequency of a horizontal plank attached to a spring for small oscillations. The relevant formula for angular frequency is provided, w = (mgd/I)^0.5, with the moment of inertia I calculated as I = 1/3 ML^2. Participants are encouraged to derive the force equation and relate it to the behavior of a mass-spring system. There is a reminder to avoid duplicate posts in the forum. The conversation emphasizes the importance of correctly applying physics equations to solve the problem.
myoplex11
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Homework Statement


A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring
(k = 1.0 x 10
3
N/m) is attached at the other end, as shown in the figure. Find the angular frequency
(in rad/s) for small oscillations


Homework Equations



w = (mgd/I)^0.5 I= 1/3 ML^2

The Attempt at a Solution


w = (2*9.8*1/ (2/3)
 
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I'm not sure what you did here. Start by writing the force equation and comparing it to that for a simple mass on a spring.
 
myoplex11 said:

Homework Statement


A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring
(k = 1.0 x 10
3
N/m) is attached at the other end, as shown in the figure. Find the angular frequency
(in rad/s) for small oscillations

Hi myoplex11, Please don't post the same thing more than once.
 

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