m1 Now consider a similar situation, except that now the swing bar itself has mass mbar -(Figure 2) Find the magnitude of the angular acceleration a of the seesaw. a = Express your answer in terms of some or all of the quantities mi, m2, mbar, l, as well as the acceleration due to gravity g. ► View Available Hint(s) [5] ΑΣΦ | x Xb b √x √x x 2(m g-m₂g) 1(m, + m₂) f mbar
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
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![Learning Goal:
To understand and apply the formula T = Ia to rigid
objects rotating about a fixed axis.
To find the acceleration a of a particle of mass m, we
use Newton's second law: Fnet = mã, where Fnet is
the net force acting on the particle. To find the angular
acceleration a of a rigid object rotating about a fixed
axis, we can use a similar formula: Thet = Ia, where
Tnet -r is the net torque acting on the object and I
is its moment of inertia.
m1
a=
Now consider a similar situation, except that now the swing bar itself has mass mbar-(Figure 2) Find the magnitude
of the angular acceleration a of the seesaw.
Express your answer in terms of some or all of the quantities mi, m2, mbar, l, as well as the acceleration
due to gravity g.
▸ View Available Hint(s)
[5] ΑΣΦ
xa
d
√x √x x
2(m g-m₂g)
l(m, + m₂)
x
m bar
IXI
X
?
X-10R
m2
F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1836f342-4b56-4d72-b6e9-7a87bcecf582%2F12b01669-5da4-4fd2-8b44-241dea9740c6%2Ft8wf8es_processed.jpeg&w=3840&q=75)

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