Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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 50kg50kg and radius 0.5m0.5m 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 22 revolutions s−2{s}^{- 2}A solid cylinder of mass 50kg and radius 0.5m is free to rotate about horizontal axis. A massless string is wound round

Options

  1. A25N25N
  2. B50N50N
  3. C78.5N78.5N
  4. D157N157N

Correct answer

D. 157N157N

Step-by-step solution

In this question we have to calculate tension

Given M = 50 kg

R = 0.5 m

angular acceleration = 2 revolution/s2{s}^{2}

Now, Balancing the Torque

\left(T\right) \times \left(R\right) = \left(\dfrac{M{R}^{2}}{2}\right)\left(\alpha\right)<br/><imgsrc="https://cdn−question−pool.getmarks.app/pyq/neet/014b1337−58cf−41c3−bad6−c0fd065babe9−image.png"style="width:206px;height:300px;"/><br/><br /><img src="https://cdn-question-pool.Quantrex.app/pyq/neet/014b1337-58cf-41c3-bad6-c0fd065babe9-image.png" style="width: 206px; height: 300px;" /><br />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

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere… NEET 2026The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number… NEET 2026A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring… NEET 2026A thin horizontal disc is rotating about a vertical axis passing through its fixed centre… NEET 2026The Sun rotates around its centre once in 27 days. What will be the period of revolution… NEET 2025A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the… NEET 2025The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in… NEET 2024A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its… NEET 2024 Full Rotational Motion list All NEET PYQs