تم الحل ✓
categoryالفيزياء
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Consider the pendulum shown in the figure. Calculate:
y
r₁"
A
A'
0.5h"
B
B'
h"
t"
√2"
C
C'
x
r1 = 0.5 in
r2 = 1.2 in h = 4 in
t = 0.3 in
The moment of inertia about the y axis.
3 tries remaining. 1 point(s) possible
in 4
ENTER
The moment of inertia about the x axis.
3 tries remaining. 1 point(s) possible
in 4
ENTER
The moment of inertia about the AA' axis.
3 tries remaining. 1 point(s) possible
in 4
ENTER
The moment of inertia about the BB' axis.
3 tries remaining. 1 point(s) possible
in4
ENTER
The moment of inertia about the CC' axis.
in 4
ENTER
3 tries remaining. 1 point(s) possible
The location of the x axis such that the moment of inertia around the x axis will be minimized.
in
ENTER
3 tries remaining. 1 point(s) possible
Moment of Inertia
IAA
==
=
[(1) * ] + [12² + Ay³] + [(2)² + Ay² ]
π(0.5)4
+
1+6+0.5)²]
* [0.2(6)² + (0.2 × 6) (+ 0.5)³] + [(1.1)* + ˜ (1.1)²(1.1 + 6
12
0.04918.3 + 220.715 =
239.064 in.4
IBB
=
=
=
[π(r1)4
[(r₁)* + Ay³] + [th²] + [(2)² + Ay²]
4
[■(0.5)*
4
[π(1,1)*
+ π (0.5)² ({ + 0.5)³] + [02(6)³] + [™ (1.1)* + m (1.1)² ({ +1.1)*]
9.67 +3.6+65.05
12
=
78.32 in.4
Icc
=
[(1) + Ay³] + [+ Ay³] + [*]
4
+ 1.1)²] + [0.2(6)² + (0.2 × 6) (+ 1.1)³] + [™(1,1)* ]
+ (0.5)2(0.5+ 6+1.1)2
45.414+23.772 + 1.15 ==
12
70.336 in.4
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