In given figure, pulley having radius, r=1m and moment of inertia I=2kgm2 about its axis of rotation. If T1=4N and T2=2N are the tension in the strings. Find the angular acceleration of pulley. (Take anti-clockwise rotation +ve)
A
2rad/s2
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B
1rad/s2
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C
4rad/s2
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D
3rad/s2
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Solution
The correct option is B1rad/s2 F. B. D of Pulley
Net torque on Pulley about axis of rotation τnet=(T1−T2)r (Taking anticlockwise rotation +ve)
⇒τnet=(4−2)×1 =2Nm
Given: (I=2kg-m2) We also know, τ=I×α ∴τnet=I×α ⇒α=τnetI=22=1rad/s2