A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
The mass of the element = dm = (m/l)dx.
The force on the element towards the axis = T – (T + dT) = - dT.
∴ ∴ - dT = (dm) ω ω 2 x = 
T = - 
For x = 1, T = 0.
∴ ∴ the constant = 
∴ ∴ T = 
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