To show that the rod will execute simple harmonic motion if the resistive effects of the fluid are negligible and hence to find the period of oscillations.

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Answer 1

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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.

Chapter 14, Problem 74AP

To determine

To show that the rod will execute simple harmonic motion if the resistive effects of the fluid are negligible and hence to find the period of oscillations.

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An rectangular prism (density p) floats on the boundary between fluids. The upper fluid has density 0.5p, while the lower fluid has density 2.5p. A) Find the percentage of the volume submerged in the heavy fluid. B) If the prism is displaced slightly in the vertical direction, find the oscillation frequency.

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A cube of side length l and density ?c is immersed in a fluid of density ?fl. Let ℎ be the height of the cube that is immersed in the fluid. Then, a slight downward push is applied on the cube, making it oscillate up and down the fluid.A. Determine the period for small oscillations of the cube in terms of the given quantities.B. Is the period for small oscillations explicitly dependent on the densities of the fluid and the cube?

Answer 2

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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.

Chapter 14, Problem 74AP

To determine

To show that the rod will execute simple harmonic motion if the resistive effects of the fluid are negligible and hence to find the period of oscillations.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

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.

Chapter 14, Problem 74AP

To determine

To show that the rod will execute simple harmonic motion if the resistive effects of the fluid are negligible and hence to find the period of oscillations.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

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.

Chapter 14, Problem 74AP

To determine