Part E This time, the swing bar of mass mbar is pivoted at a different point, as shown in the figure. (Figure 3) Find the magnitude of the angular acceleration of the swing bar. Be sure to use the absolute value function in your answer, since no comparison of m₁, m2, and mbar has been made. Express your answer in terms of some or all of the quantities m₁, m₂, mbar, I, as well as the acceleration due to gravity g. Enter the absolute value function as abs (). For instance, enter abs(x*y) fo xy. ▸ View Available Hint(s) a = [5] ΑΣΦ
Part E This time, the swing bar of mass mbar is pivoted at a different point, as shown in the figure. (Figure 3) Find the magnitude of the angular acceleration of the swing bar. Be sure to use the absolute value function in your answer, since no comparison of m₁, m2, and mbar has been made. Express your answer in terms of some or all of the quantities m₁, m₂, mbar, I, as well as the acceleration due to gravity g. Enter the absolute value function as abs (). For instance, enter abs(x*y) fo xy. ▸ View Available Hint(s) a = [5] ΑΣΦ
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

Transcribed Image Text:Part E
This time, the swing bar of mass mbaris pivoted at a different point, as shown in the figure.
(Figure 3)
Find the magnitude of the angular acceleration a of the swing bar. Be sure to use the absolute value function in your answer, since no comparison of m₁, m2, and mbar has been made.
Express your answer in terms of some or all of the quantities m₁, m2, mbar, I, as well as the acceleration due to gravity g. Enter the absolute value function as abs (). For instance, enter abs(x*y) for
xy.
► View Available Hint(s)
α =
Submit
15| ΑΣΦ
?

Transcribed Image Text:Learning Goal:
To find the acceleration a of a particle of mass m, we use Newton's second law:
Fnet = ma, where Fnet is the net force acting on the particle.
To find the angular acceleration cx of a rigid object rotating about a fixed axis, we can use a
similar formula: Thet = Ia, where Thet = ΣT is the net torque acting on the object and I
is its moment of inertia.
In this problem, you will practice applying this formula to several situations involving
angular acceleration. In all of these situations, two objects of masses m₁ and m2 are
attached to a seesaw. The seesaw is made of a bar that has length 1 and is pivoted so that
it is free to rotate the vertical plane without friction.
You are to find the angular acceleration of the seesaw when it is set in motion from the
horizontal position. In all cases, assume that m₁ > m₂, and that counterclockwise is
considered the positive rotational direction.
Figure
m₁
O
m₂
1 of 3
Part A
The seesaw is pivoted in the middle, and the mass of the swing bar is negligible.
(Figure 1)
Find the angular acceleration a of the seesaw.
Express your answer in terms of some or all of the quantities m₁, m2, l, as well as the acceleration due to gravity g.
► View Available Hint(s)
α =
Submit
Part B
Part C
OF
IVE ΑΣΦ
Now consider a similar situation, except that now the swing bar itself has mass mbar
(Figure 2)
Find the angular acceleration cx of the seesaw.
Express your answer in terms of some or all of the quantities m₁, m2, mbar, l, as well as the acceleration due to gravity g.
► View Available Hint(s)
—| ΑΣΦ
α =
?
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VIEWStep 4: Calculation of angular acceleration when pivot is at different point and mass of bar is considered
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