A particle is moving along a vertical circular path of radius r. when circular path is just completed
choose the correct options:
A) The velocity at highest point is √rg
B) The velocity at highest point is zero
C)The velocity at lowest point is √5rg
D) The tension in string at lowest position is 6 mg
Answers
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2
Answer:
T−mgcosθ=
R
mV
2
Assuming critical condition:
⟹T
C
=0
⟹
R
mV
C
+mgcos(180
o
)=0
⟹V
C
2
=gR
⟹V
C
=
gR
From energy conservation:
E
A
=E
C
⟹
2
1
mV
A
2
=
2
1
mV
C
2
+2mgR
⟹
2
V
A
2
=
2
gR
+2gR
⟹V
A
=
5gR
Similarly, from energy conservation:
E
A
=E
P
⟹
2
1
mV
A
2
=
2
1
mV
P
2
+(mgR+mgRcos37
o
)
⟹
2
5gR
=
2
1
V
P
2
+gR+0.8gR
⟹
2
1
V
P
2
=
2
5
gR−gR−0.8gR
⟹
2
1
V
P
2
=0.7gR
⟹V
P
2
=1.4gR
⟹V
P
=1.18
gR
Explanation:
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