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

Determine by direct integration the moment of inertia of the shaded area with respect to the $y$ axis.

Physics 101 Mechanics

Chapter 9

Distributed Forces: Moments of Inertia

Section 1

Moments of Inertia of Areas

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Washington

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.

02:03

Determine by direct integr…

01:01

00:45

00:50

01:06

01:03

Westie determined by direct integration. The second moment of area of the shaded area expected the Y axis. That area is defined by this function. Why of X equals K E to the X over A. We know that at X equals a why is be so That means K is be over e. And we get our integral That we need to do is in a great X squared all over the area of interest. And that area goes from y equals zero toe. Why of this function? This function and X equals zero to a You can crank through that in a grow and we get this. Um, we get the quantity e minus two all over e at times a Q B. And if we plug in our value for the expo exponential here we get that we have 0.264 a cube times be

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:11

The motion of a particle is defined by the relation $x=2 t^{3}-9 t^{2}+$ $12…

05:01

(Figure cant copy)

01:49

An airplane begins its take-off run at $A$ with zero velocity and a constant…

Determine the total surface area of the solid brass knob shown.

05:05

Based on experimental observations, the acceleration of a particle is define…

01:48

The acceleration due to gravity of a particle falling toward the earth is $a…

10:35

Four forces are applied to the machine component $A B D E$ as shown.Repl…

04:04

The link arrangement shown is frequently used in highway bridge construction…

08:03

Determine by direct integration the centroid of thearea shown. Express y…

14:46

A piece of sheet metal is bent into the shape shown and is actedupon by …