Part C What is the angular frequency w of oscillations of the rod? Express the angular frequency in terms of parameters given in the introduction. W= Submit 5 ΑΣΦ ? Hints My Answers Give Up Review Part

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Plz solve correctly all parts 

Part C
What is the angular frequency w of oscillations of the rod?
Express the angular frequency in terms of parameters given in the introduction.
W=
Submit
5 ΑΣΦ
?
Hints My Answers Give Up Review Part
Transcribed Image Text:Part C What is the angular frequency w of oscillations of the rod? Express the angular frequency in terms of parameters given in the introduction. W= Submit 5 ΑΣΦ ? Hints My Answers Give Up Review Part
Item 4
A slender, uniform metal rod of mass M and length is
pivoted without friction about an axis through its midpoint
and perpendicular to the rod. A horizontal spring,
assumed massless and with force constant k, is
attached to the lower end of the rod, with the other end
of the spring attached to a rigid support. (Figure 1)
Figure 1
of 1
wwwwwww
Part A
We start by analyzing the torques acting on the rod when it is deflected by a small angle from the vertical. Consider first the torque due to
gravity. Which of the following statements most accurately describes the effect of gravity on the rod?
Choose the best answer.
O
Under the action of gravity alone the rod would move to a horizontal position. But for small deflections from the vertical the torque
due to gravity is sufficiently small to be ignored.
Under the action of gravity alone the rod would move to a vertical position. But for small deflections from the vertical the restoring
force due to gravity is sufficiently small to be ignored.
There is no torque due to gravity on the rod.
Submit
Assume that the spring is relaxed (exerts no torque on the rod) when the rod is vertical. The rod is displaced by a small angle from the vertical.
0
T =
My Answers Give Up
Part B
Find the torque 7 due to the spring. Assume that is small enough that the spring remains effectively horizontal and you can approximate
sin (0) 0 (and cos(0) ≈ 1).
Express the torque as a function of and other parameters of the problem.
Submit
ΨΕ ΑΣΦ
?
Hints My Answers Give Up Review Part
Transcribed Image Text:Item 4 A slender, uniform metal rod of mass M and length is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. (Figure 1) Figure 1 of 1 wwwwwww Part A We start by analyzing the torques acting on the rod when it is deflected by a small angle from the vertical. Consider first the torque due to gravity. Which of the following statements most accurately describes the effect of gravity on the rod? Choose the best answer. O Under the action of gravity alone the rod would move to a horizontal position. But for small deflections from the vertical the torque due to gravity is sufficiently small to be ignored. Under the action of gravity alone the rod would move to a vertical position. But for small deflections from the vertical the restoring force due to gravity is sufficiently small to be ignored. There is no torque due to gravity on the rod. Submit Assume that the spring is relaxed (exerts no torque on the rod) when the rod is vertical. The rod is displaced by a small angle from the vertical. 0 T = My Answers Give Up Part B Find the torque 7 due to the spring. Assume that is small enough that the spring remains effectively horizontal and you can approximate sin (0) 0 (and cos(0) ≈ 1). Express the torque as a function of and other parameters of the problem. Submit ΨΕ ΑΣΦ ? Hints My Answers Give Up Review Part
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