A uniform rod of length l is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis, then which of the following graphs depicts it most closely ?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

Answers (1)

 

Centripetal Force -

F=4m\pi^{2}n^{2}r

F=\frac {4m\pi^{2}n^{2}r} {T^{2}}

F = Centripetal force

\omega= Angular velocity

n = frequency

- wherein

Force acts on the body along the radius and towards centre.

 

 

T=dm w^{2}r                             

                                         \left [ dm=\frac{m}{l}(l-x) \right ]

                                          r=x+\frac{l-x}{2}

\Rightarrow T=\frac{m}{l}(l-x)w^{2}\cdot \left ( x+\frac{l-x}{2} \right )

\Rightarrow T=\frac{mw^{2}}{2l}(l^{2}-x^{2})..............This equation follows graph(1)

 


Option 1)

Option 2)

Option 3)

Option 4)

Preparation Products

Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Rank Booster JEE Main 2020

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 9999/- ₹ 4999/-
Buy Now
Test Series JEE Main Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 1999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions