A uniform cylindrical metal rod A of length L and is suspended at its mid-point from a rigid support th a strong metal wire of length l. The rod is given a angular twist and released so that it oscillates to a about its mean position with a time period T,. A ra

Refrigeration and Air Conditioning Technology (MindTap Course List)
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Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Chapter16: Advanced Automatic Controls-direct Digital Controls (ddcs) And Pneumatics
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Comprehension Based Questions
Passage I
A uniform cylindrical metal rod A of length L and radius R
is suspended at its mid-point from a rigid support through
a strong metal wire of length l. The rod is given a small
angular twist and released so that it oscillates to and fro
about its mean position with a time period T,. Another
body B of an irregular shape is suspended from the same
rigid support using the same length of given suspension
wire and its time period is found to be T2.
A
41. The rotational inertia of metal rod about the wire as an
axis is
ML?
(a)
12
MR?
(b)
2
LR2
(c) M
12
(d) M
12
4.
42. The motion of rod is
(a) periodic but non oscillatory
(b) oscillatory but non simple harmonic
(c) linear harmonic motion
(d) angular harmonic oscillation
43. Time period of oscillations of rod is given by
(a) T = 2n,
k
(b) T = 2n,
m
k
(d) T =
2n,
(c) T = 2n,
Transcribed Image Text:Comprehension Based Questions Passage I A uniform cylindrical metal rod A of length L and radius R is suspended at its mid-point from a rigid support through a strong metal wire of length l. The rod is given a small angular twist and released so that it oscillates to and fro about its mean position with a time period T,. Another body B of an irregular shape is suspended from the same rigid support using the same length of given suspension wire and its time period is found to be T2. A 41. The rotational inertia of metal rod about the wire as an axis is ML? (a) 12 MR? (b) 2 LR2 (c) M 12 (d) M 12 4. 42. The motion of rod is (a) periodic but non oscillatory (b) oscillatory but non simple harmonic (c) linear harmonic motion (d) angular harmonic oscillation 43. Time period of oscillations of rod is given by (a) T = 2n, k (b) T = 2n, m k (d) T = 2n, (c) T = 2n,
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