Acork floating in a lake is bobbing in simple harmonic motion. its displacement above the bottom of the lake is modeled by푦=0.2cos20휋푡+8where 푦is measured in meters and 푡is measured in minutes. a) find the frequency of the motion of the cork. ) find the maximum displacement of the cork above the lake bottom.

Explanation:

The displacement pf the bob is modeled by the following equation as :

..............(1)

The general equation of simple harmonic motion is given by :

...........(2)

On comparing equation (1) and (2) we get :

(a)

f is the frequency of the motion of the cork.

(b) In the equation (1), the displacement of the cork is 0.2. So, the maximum displacement of the cork above the lake bottom is 0.2 + 8 = 8.2 meters

Hence, this is the required solution.

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it