Acylindrical cork (area a, length l, density pc) is floating in a liquid of density pw with only a part of its length l submerged in the liquid. if the cork is pushed down by a small distance xm and then let go, what is the frequency f of the subsequent bobbing simple harmonic motion? express your answer in terms of the quantities pc, pw, a, l, and g.

Explanation:

Given

density of cork

density of water

L=Length of cylinder

If initially x length is under water

At equilibrium

After giving push

where a  is acceleration of system

and

thus

thus

and

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.