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Floating Objects Oscillations

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Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Floating Objects Oscillations

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A 2 𝑘𝑔 cube with a length of 10 𝑐𝑚 rests on a spring attached to the floor of a pool full of water.
a. Draw the free-body diagram for the cube.
b. How much is the spring constant if the change in the length of the
spring due to the cube is 5 𝑐𝑚? (ρwater=1000 kgm3)\left(\rho_{water}=1000\ \frac{kg}{m^3}\right)
c. If we push the cube down by 3 𝑐𝑚 , it undergoes a damped oscillation
in water with a frequency of 0.25 𝐻𝑧. How much is the damping constant and the time constant?
d. What is the amplitude after 8 periods?
More Floating Objects Oscillations Questions:
Floating Objects Oscillations
A cylindrical object with a diameter of 20 𝑐𝑚 and length of 3 𝑚 floats in water with 2 𝑚 of it submerged. Assume that the positive direction is up. Ignore the drag of water slowing the movement and the mass of the water moving the object. (For parts b, c & d below, make sure that the vertical and horizontal scales have proper numbers)
a. What is the mass of the object?
b. A person pushes the object vertically down by 15 𝑐𝑚 and let it go.