3-2.Motion in Plane
easy

A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ${\omega _0}$. If the length of the string and angular velocity are doubled, the tension in the string which was initially ${T_0}$ is now

A${T_0}$
B${T_0}/2$
C$4{T_0}$
D$8{T_0}$
(AIIMS-1985)

Solution

(d) Tension in the string ${T_0} = mR\omega _0^2$
In the second case $T = m(2R)(4\omega _0^2) = 8mR\omega _0^2$$ = 8{T_0}$
Standard 11
Physics

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