Mass \( M \) is distributed over the rod of length \( L \). If linear mass density \( (\lambda) ....

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=IfsyQlsMr2g



Duration: 2:31
1 views
0


Mass \( M \) is distributed over the rod of length \( L \). If
\( \mathrm{P} \)
linear mass density \( (\lambda) \) of the rod is linearly increasing with length as \( \lambda=K x \), where \( x \) is measured from one end \( \& K \) is constant. The moment of inertia of the rod about the end perpendicular to rod where linear mass density is zero.
(1) \( \frac{K L^{2}}{3} \)
(2) \( \frac{K L^{2}}{12} \)
(3) \( \frac{2}{3} K L^{2} \)
(4) \( \frac{K L^{4}}{4} \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-21Two discs are rotating about their axes, normal to the discs and passing through the centres of ....
2024-01-21A cubical block of side \( a \) is moving with velocity \( v \) on a horizontal smooth plane as ....
2024-01-21A horizontal platform is rotating with uniform angular velocity around the vertical axis passing....
2024-01-21A disc of mass \( M \) and radius \( R \) is rolling with angular speed \( \omega \) on a horizo....
2024-01-21A particle starts from the point \( (0,8) \) metre and moves with uniform velocity of \( \vec{v}....
2024-01-21A bob of mass \( m \) attached to an inextensible string of length \( l \) is suspended from ver....
2024-01-21A heavy solid sphere is thrown on a horizontal rough surface with initial velocity \( u \) witho....
2024-01-21A uniform disc of mass \( m \) and radius \( R \) is pivoted at point \( P \) and is free to rot....
2024-01-21A thin rod of mass \( m \) and length \( l \) is suspended from one of its ends. It is set into ....
2024-01-21The moment of the force, \( \vec{F}=4 \hat{i}+5 \hat{j}-6 \hat{k} \) at point \( (2,0,-3) \) abo....
2024-01-21Mass \( M \) is distributed over the rod of length \( L \). If linear mass density \( (\lambda) ....
2024-01-21The grinding stone of a flour mill is rotating at \( 600 \mathrm{rad} / \mathrm{sec} \). for thi....
2024-01-21A particle of mass \( 1 \mathrm{~kg} \) is projected upwards with velocity \( 60 \mathrm{~ms}^{-....
2024-01-21A plank of mass \( 5 \mathrm{~kg} \) placed on a frictionless horizontal plane. Further a block ....
2024-01-21The moment of inertia of a body depends upon-....
2024-01-21Comprehension Type Two smooth balls \( \mathrm{A} \) and \( \mathrm{B} \), each of mass \( m \) ....
2024-01-21A particle of mass \( m \), kinetic energy \( K \) and momentum \( p \) collides head on elastic....
2024-01-21In the arrangement shown in figure match the following: All-smooth \begin{tabular}{|c|l|c|c|} \h....
2024-01-21Two smooth balls A and B, each of mass \( m \) and radius \( \mathrm{R} \), have their centers a....
2024-01-21Two smooth balls A and B, each of mass \( m \) and radius \( \mathrm{R} \), have their centers a....
2024-01-21A particle of mass \( 2 \mathrm{~m} \) is projected at an angle of \( 45^{\circ} \) with horizon....