Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The panel shown forms the end of a trough that is filled with water to the line $A A^{\prime}$ '. Referring to Sec. $9.1 \mathrm{A}$, determine the depth of the point of application of the resultant of the hydrostatic forces acting on the panel (the center of pressure).

Physics 101 Mechanics

Chapter 9

Distributed Forces: Moments of Inertia

Section 2

Parallel-Axis Theorem and Composite Areas

Moment, Impulse, and Collisions

Cornell University

University of Michigan - Ann Arbor

McMaster University

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

04:32

The panel shown forms the …

02:18

02:59

03:08

An open tank is filled wit…

So we're told that we have a trough that has a section that looks like this, and it is filled with water to a level h above the base here and this In this case, we have, ah, thickness or wit here of this trough toe at the field level of a And so we want to figure out what the hydra track there point of application of the center of pressure, basically the point of application of the result of the hydrostatic forces acting on the panel. And again, we can use our just are sectional properties to figure that out because they illustrate in the book. So we know that if I measure why from the top here of the water level, we end positive is down. We know why bar the central right of this? Is that a church over three? So somewhere in here, like, say, no. The, uh, the area moment about this y axis, and I should probably make that clear that this is we can look up or calculate for the triangle, and that is 1/12 the base times the Height cube. Now the area is obviously 1/2 base times the height to try and go, and so we can figure out the center of pressure. The center of pressure is the area moment divided by the central lead, the central distance, the distance of the centrally times Theo area. And if we plug all those things in, we get lots of things that cancel. And then this the senator Pressure just becomes H over too. So somewhere like here.

View More Answers From This Book

Find Another Textbook

Numerade Educator

06:16

For the frame and loading shown, determine the components of all forces acti…

05:44

Four $\mathrm{L} 3 \times 3 \times \frac{1}{4}$ -in. angles are welded to a …

11:23

Show that for a regular pyramid of height $h$ and $n$ sides $(n=3,4, \ldots)…

10:24

The motion of rod $A B$ is guided by pins attached at $A$ and $B$ thatsl…

03:45

A thin, semielliptical plate has a mass $m .$ Determine the mass moment of i…

13:23

Block $A$ has a mass of $10 \mathrm{kg}$, and blocks $B$ and $C$ have masses…

04:35

Determine the components of the reactions at $A$ and $E,(a)$ if the $800-N$ …

02:29

Shore-based radar indicates that a ferry leaves its slip with a velocity $\m…

06:02

The subway train shown is traveling at a speed of 30 mi/h when the brakes ar…

05:06

Two channels and two plates are used to form the column section shown. For $…