A uniform slender rod of length l and mass m is rigidly attached to a circular hoop of radius l as shown. The mass of the hoop is negligible. If the rod and hoop are released from rest on a fixed horizontal surface in the position illustrated, the initial value of normal reaction by the horizontal surface is nmg (friction is sufficient to prevent slipping). Find the value of n.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 0.81.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Torque about point of contact
$τ = I_{P α;} α; m g \frac{l}{2} = \frac{4}{3} m l^{2}; F = m a$ . $α = \frac{3 g}{8 l} ∴ N = \frac{13 m g}{16} = 0.81 m g$

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET