Hoop Radius for 2.0s Oscillation | SHM Object Time Calculation

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We want to support a thin hoop by a horizontal nail and have the hoop make one complete small-angle oscillation each 2.0s .

What must the hoop's radius be (in meters) ?


and


An object is undergoing SHM with period 0.260 s and amplitude 5.55 cm. At t=0 the object is instantaneously at rest at x= 5.55 cm.

Calculate the time it takes the object to go from x= 5.55 cm to x= -1.55 cm.



SOMEONE HELP ME
 

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krazy4you said:
We want to support a thin hoop by a horizontal nail and have the hoop make one complete small-angle oscillation each 2.0s .

What must the hoop's radius be (in meters) ?

what's the moment of inertia of a hoop about its center?

what's the moment of inertia of a hoop about its rim? (use parallel axis theorem)

where is the center of gravity of the hoop?

what is the force due to gravity on the hoop?

what is the torque on the hoop?

what is the equation relating torque to angular acceleration?

what is the small angle approximation for the sine function?


SOMEONE HELP ME

your caps lock key is stuck, maybe?
 
For the second question, start with the general equation of motion of an shm. Do you know what that is?
 
in my questions that all they gave you i need like a answer lol and some work i can't figure these two out that's all
 
The equation describing shm is given by y=asin(wt+c), where y is the displacement, w is the angular frequency, t is time and c is the phase difference. Let's start with what you do know about shm. Any thoughts on how to go about this? Not mathematically, just conceptually.