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,
A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is subjected to a pressure
of 2 x 105 Pa, find the change in its volume?
A (2 m)-long steel wire in a musical
instrument has a radius of (0.3 mm).
When the wire is under a tension of
(90 N), how much does its length
?change
consider Young's modulus equal s to (20 · 101° NIm? )
0.318 cm O
3.33 cm O
3.18 ст
1.38 cm O
Chapter 14 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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