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Question: Answered & Verified by Expert
A wheel of radius $R$ with an axle of radius $R / 2$ is shown in the figure and is free to rotate about a frictionless axis through its centre and perpendicular to the page. Three forces $(F, F, 2 F)$ are exerted tangentially to the repective rims as shown in the figure.


The magnitude of the net torque acting on the system is nearly
PhysicsRotational MotionKVPYKVPY 2013 (SB/SX)
Options:
  • A $3.5 \mathrm{FR}$
  • B $3.2 \mathrm{FR}$
  • C $2.5 \mathrm{FR}$
  • D $1.5 \mathrm{FR}$
Solution:
2305 Upvotes Verified Answer
The correct answer is: $3.5 \mathrm{FR}$
$\tau_{\text {Net }}=F\left(\frac{R}{2}\right)+F R+2 F R=3.5 \mathrm{FR}$

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