Circular MotionMedium
Question
A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles 30o and 60o from vertical (lowest positions) are T1 and T2 respectively. Then
Options
A.T1 = T2
B.T2 > T1
C.T1 > T2
D.Tension in the string always remains the same
Solution
T − mg cos θ = 
....(1) (from centripetal force)
from energy conservation.
mu2 = mv2 + mgr (1 − cos θ) (here u is speed at lowest point)
from (1) and (2)
T =
+ 3mg cos θ − 2mg
for θ = 30o & 60o ⇒ T1 > T2 Ans.
....(1) (from centripetal force)from energy conservation.
mu2 = mv2 + mgr (1 − cos θ) (here u is speed at lowest point) from (1) and (2)
T =
+ 3mg cos θ − 2mg for θ = 30o & 60o ⇒ T1 > T2 Ans.
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