Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • Try this! A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angluar acceleration of the cylinder if the rope is pulled with a force of 30 N?

A  rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angluar acceleration of the cylinder if the rope is pulled with a force of 30 N?

  • Option 1)

    0.25\: rad/s^{2}

  • Option 2)

    25\: rad/s^{2}

  • Option 3)

    5\: m/s^{2}

  • Option 4)

    25 m/s^{2}

 

Answers (1)

best_answer

As we learnt in

Torque -

underset{ au }{ ightarrow}= underset{r}{ ightarrow} imes underset{F}{ ightarrow}   

 

- wherein

This can be calculated by using either  au=r_{1}F; or; au=rcdot F_{1}

r_{1} = perpendicular distance from origin to the line of force.

F_{1} = component of force perpendicular to line joining force.

 

 

 

and,

 

Analogue of second law of motion for pure rotation -

vec{ au }=I, alpha

- wherein

Torque equation can be applied only about two point

(i) centre of motion.

(ii) point which has zero velocity/acceleration.

 T=I \alpha

FR \sin \Theta=I \alpha

FR=I \alpha= \alpha = \frac{FR}{MR^{2}}

\alpha= \frac{30 \times 0.4}{2 \times (0.4)^{2}}\:\:\:\Rightarrow \alpha 25 rad/s^{2} 

 


Option 1)

0.25\: rad/s^{2}

This option is incorrect.

Option 2)

25\: rad/s^{2}

This option is correct.

Option 3)

5\: m/s^{2}

This option is incorrect.

Option 4)

25 m/s^{2}

This option is incorrect.

Posted by

prateek

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2024 application correction facility ends today; exam pattern, marking scheme
anam-khan

NTA re-opens NEET UG correction window 2024; update photographs till April 26
anam-khan

NEET UG 2024 exam city slip out at neet.ntaonline.in; over 25 lakh candidates to appear

Latest Question