Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A uniform rod of length 6m and mass 8kg lies on a smooth horizontal table as shown in the figure. Two particles having masses 2kg and 1 kg are projected to hit the rod with respective speeds of 1m/

A uniform rod of length 6m and mass 8kg lies on a smooth horizontal table as shown in the figure. Two particles having masses 2kg and 1 kg are projected to hit the rod with respective speeds of 1m/s and 2m/s. If the particle stick to the rod after the collision, find its angular velocity just after the impact. [ here a= 1m]

Option: 1

\frac{3}{5} \mathrm{rad} / \mathrm{s}


Option: 2

\frac{2}{5} \mathrm{rad} / \mathrm{s}


Option: 3

\frac{1}{5} \mathrm{rad} / \mathrm{s}


Option: 4

\frac{3}{4} \mathrm{rad} / \mathrm{s}


Answers (1)

best_answer

Conserving angular momentum about the centre of mass-

\begin{aligned} & L_{i}=2+4=6 \\ & L_{f}=\left[\frac{8 \times 6 \times 6}{12}+2 \times 1^{2}+1 \times 2^{2}\right] \omega \\ & L_{f}=[24+2+4] \omega \\ & L_{f}=30\omega \\ & 30\omega =6 \\ & \omega=\frac{1}{5} \mathrm{rad} / \mathrm{s} \end{aligned}

Posted by

SANGALDEEP SINGH

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 MBBS cut-off rises for Bangalore Medical College, drops for other Karnataka govt colleges
anam-khan

Aiming for 650+ in NEET 2025? Focus on these high-weightage chapters
anam-khan

Sri Chaitanya Academy, Infinity Learn launch NEET preparation course, 'ATREYA'

Latest Question