CP SHM of a Floating Object. An object with height h , mass M , and a uniform cross-sectional area A floats up-right in a liquid with density ρ . (a) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. (b) A downward force with magnitude F is applied to the top of the object. At the new equilibrium position, how much farther below the surface of the liquid is the bottom of the object than it was in part (a)? (Assume that some of the object remains above the surface of the liquid.) (c) Your result in part (b) shows that if the force is suddenly removed, the object will oscillate up and down in SHM. Calculate the period of this motion in terms of the density ρ of the liquid, the mass M , and the cross-sectional area A of the object. You can ignore the damping due to fluid friction (see Section 14.7).
CP SHM of a Floating Object. An object with height h , mass M , and a uniform cross-sectional area A floats up-right in a liquid with density ρ . (a) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. (b) A downward force with magnitude F is applied to the top of the object. At the new equilibrium position, how much farther below the surface of the liquid is the bottom of the object than it was in part (a)? (Assume that some of the object remains above the surface of the liquid.) (c) Your result in part (b) shows that if the force is suddenly removed, the object will oscillate up and down in SHM. Calculate the period of this motion in terms of the density ρ of the liquid, the mass M , and the cross-sectional area A of the object. You can ignore the damping due to fluid friction (see Section 14.7).
CP SHM of a Floating Object. An object with height h, mass M, and a uniform cross-sectional area A floats up-right in a liquid with density ρ. (a) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. (b) A downward force with magnitude F is applied to the top of the object. At the new equilibrium position, how much farther below the surface of the liquid is the bottom of the object than it was in part (a)? (Assume that some of the object remains above the surface of the liquid.) (c) Your result in part (b) shows that if the force is suddenly removed, the object will oscillate up and down in SHM. Calculate the period of this motion in terms of the density ρ of the liquid, the mass M, and the cross-sectional area A of the object. You can ignore the damping due to fluid friction (see Section 14.7).
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
A thin rod extends from x =D 0 to x = 13.0 cm. It has a cross-sectional area A = 6.50 cm-.
adits density increases uniformly in the positive x-direction from 3.00 g/cm2 at one endpoint to 19.0 g/cm at the other.
The density as a function of distance for the rod is given by p B+ Cx,
The deepest point in any ocean is in the Mariana Trench in the Pacific Ocean. The pressure at this depth is huge, about 1.13 x 108 N/m²2
and the bulk modulus of seawater is 2.34 x 10° N/m². Assuming a volume of seawater equal to 0.900 m3 is carried from the surface to
the Mariana Trench, what is its change in volume?
O-0.0377 m3
O-0.0249 m3
O.0.0121 m
O-0.0435 m
O-0.0783 m3
com man d
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Chapter 14 Solutions
University Physics with Modern Physics (14th Edition)
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