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JEE Main Math Class 12 Vector Algebra Part 1 Questions
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© examsnet.com
Question : 99
Total: 100
A bead of weight
w
can slide on smooth circular wire in a vertical plane. The bead is attached by a light thread to the highest point of the wire and in equilibrium, the thread is taut and make an angle
θ
with the vertical then tension of the thread and reaction of the wire on the bead are
[2002]
T
=
w
cos
θ
R
=
w
tan
θ
T
=
2
w
cos
θ
R
=
w
T
=
w
R
=
w
sin
θ
T
=
w
sin
θ
R
=
w
cot
θ
Validate
Solution:
From figure
angle
T
Q
W
=
180
−
θ
;
∠
R
Q
W
=
2
θ
;
∠
R
Q
T
=
180
−
θ
Applying Lami's theorem at Q.
T
sin
2
θ
=
R
sin
(
180
−
θ
)
=
W
sin
(
180
−
θ
)
⇒
R
=
W
and
T
=
2
W
cos
θ
© examsnet.com
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