NEET 2014
- Exam
- NEET
- Year
- 2014
- Subject
- Physics
- Chapter
- Rotational Motion
NEET 2014 · Physics · Rotational Motion
A solid cylinder of mass 50kg and radius 0.5m is free to rotate...
A solid cylinder of mass and radius is free to rotate about horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of revolutions 
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
In this question we have to calculate tension
Given M = 50 kg
R = 0.5 m
angular acceleration = 2 revolution/
Now, Balancing the Torque
\left(T\right) \times \left(R\right) = \left(\dfrac{M{R}^{2}}{2}\right)\left(\alpha\right)T = \left(\dfrac{MR}{2}\right)\left(\alpha\right) = \left(\dfrac{50 \times 0.5}{2}\right)\left(2 \times 2\pi\right) = 157N$
So, the tension will be 157 N