1. Tardigrade
  2. Question
  3. Physics
  4. In the figure shown, a rod of length l(<2 R) and mass m is kept horizontally inside a smooth spherical shell as shown in the figure. The normal reaction when l=R is (m g/√y) . Find y .(g= Acceleration due to gravity )

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In the figure shown, a rod of length $l(<2 R)$ and mass $m$ is kept horizontally inside a smooth spherical shell as shown in the figure. The normal reaction when $l=R$ is $\frac{m g}{\sqrt{y}} .$ Find $y .(g=$ Acceleration due to gravity $)$Physics Question Image

Laws of Motion

Solution:

$2 N \sin \theta=m g$
$N=\frac{m g}{2} \text{cosec} \theta=\frac{m g}{2} \frac{R}{\sqrt{R^{2}-\frac{l^{2}}{4}}}$
image
When $l=R$,
$N=\frac{m g}{2} \frac{R}{\sqrt{\frac{3 R^{2}}{4}}}=\frac{m g}{\sqrt{3}}$