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JEE Main 9 Jan 2020 Shift 1 Solved Paper
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© examsnet.com
Question : 22
Total: 75
One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released from rest when it makes an angle 30° from the horizontal (see figure). Its angular speed when it hits the table is given as
√
n
s
−
1
, where n is an integer. The value of n is
Your Answer:
Validate
Solution:
From mechanical energy conservation,
U
i
+
K
i
=
U
f
+
K
f
⇒
m
g
l
2
sin
30
°
+
0
=
0
+
1
2
I
ω
⇒
m
g
×
1
2
×
1
2
+
0
=
0
+
1
2
×
m
(
1
)
2
3
ω
2
⇒
ω
2
=
3
g
2
⇒
ω
=
√
15
∴
n
=
15
© examsnet.com
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