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A rectangular block of wood floats in a calm lake. Show that, if friction is ignored, when the block is pushed gently down into the water and then released, it will then oscillate with SHM. Also, determine an equation for the force constant.

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$$\rho_{w} A g$$

Physics 101 Mechanics

Chapter 14

Oscillators

Motion Along a Straight Line

Motion in 2d or 3d

Periodic Motion

Simon Fraser University

Hope College

University of Winnipeg

McMaster University

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

02:01

A rectangular block of woo…

01:06

A block of wood is floati…

04:42

A long, square wooden bloc…

04:54

A block of wood is floatin…

02:44

A cubical block of wooden …

01:24

A block rests on a horizon…

01:25

$\Lambda$ cubical block of…

01:18

A ice block floating in a …

04:11

A 220 -kg wooden raft floa…

03:44

A wood block of mass $m$ r…

01:32

Okay, so in this in this situation I have sown action The the block. Right. So the block is officially enter distance X apples from the liver of water. Right now as I as there is an extra force here for that force pushes on the block down, extract by speed by understands off Dylex extra So initially, the the rebels in black so initially forced you to beyonc is equal to what the waiter port displaced right now Wait up. Water despairs is given by mass of water is based times, huh? Master, What is this place? Times arrived right now. The muscle for displaced is more living to density of water sometimes the grantee. Okay. Uh, no. The volume that is displaced is equal to the surface area. More sex in India Times X right rule of you as it is energy. So this is the force to Tribune See on DDE, this is muscle water. No, The wheat here is equal to the massive block. Right times directing now it seems like this weight is equal and opposite to be right so I can write here Considering that down workforce is positive, I can write on the upward Force B Negative. Okay, so let me call everything negative here so that the Zagato minus X rosie and musical to music. So this is the initial case. So now let us consider that an extract force is applied in the top due to which there is an increasing the beyonc posted deviancy. And also it displaces the block reaches a del ex distance down. Worse. Okay, so in this case, a big crime would be called to minus e X plus Daleks and Gro W G. And what would be the same? That is mass off the block. I g right? No. On extra force year is due to is the difference between f extra is the difference between the initial force being forced minus. I cried, right, so are certainly bestest opposite. We're considering the quarter force to be positive. Negative. So this should be the other way if you Prime Minister. So this is 1/4. Uh, what is that? The friend That is minus e times X plus The Lexx rule G minus the emission Force waas minus minus six plus scope P X interject watcher. All right, so that is extraordinary. That causes oscillation would be called to minus e rule. G times didn't X are you see? So this is the question for the force Where f is Data Cube for personal do the negative office business. Right on Comparing read. Comparing with F is called my skates. So expressing for key would be e then city on water times. Correct. What is the cross examine India, Hold off. Hold off. Agrees that incident quarter ends in Jackson Surgical gravity. So I don't deserve some of this problem. Thank you for watching.

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