Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope?

Q7.14     A rope of negligible mass is wound round a hollow cylinder of mass 3kg  and radius
              40cm . What is the angular acceleration of the cylinder if the rope is pulled with a
             force of 30\: N  ? What is the linear acceleration of the rope ? Assume that there is no
            slipping.

Answers (1)

best_answer

The moment of inertia is given by :

                                                           I\ =\ mr^2

or                                                              =\ 3\times (0.4)^2\ =\ 0.48\ Kg\ m^2

And the torque is given by : 

                                                          \tau \ =\ r\times F

                                                                =\ 0.4\times 30\ =\ 12\ Nm

Also,                                                \tau\ =\ I\alpha

So                                                   \alpha \ =\ \frac{\tau }{I}\ =\ \frac{12}{0.48}\ =\ 25\ rad/s^{-2}

And the linear acceleration is         a\ =\ \alpha r\ =\ 0.4\times 25\ =\ 10\ m/s^{-2}

Posted by

Devendra Khairwa

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question