Q.

A uniform rope of linear mass density λ is placed on a fixed rough  μ=34 surface of shape of quarter sphere. The upper end of the rope is attached to block of mass M0  with the help of ideal spring as shown in figure. The block is released when the spring is in natural length. The maximum energy (in J) stored in the spring if the rope does not slip on the surface is _________. 
[Take λ=1kg/m, R=1m, g=10m/s2, K=25Nm1 ]

Question Image

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 2.

(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

detailed_solution_thumbnail
Question Image

Taking torque balance about O at just slipping

τf=3790μ(dm)gsinθR=45μgλR2 τmg=3790(dm)gcosθR=25λgR2 τSP=Kx×R KxR=45λgR2+25λgR2 u=12Kx2=2J

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
A uniform rope of linear mass density λ is placed on a fixed rough  μ=34 surface of shape of quarter sphere. The upper end of the rope is attached to block of mass M0  with the help of ideal spring as shown in figure. The block is released when the spring is in natural length. The maximum energy (in J) stored in the spring if the rope does not slip on the surface is _________. [Take λ=1kg/m, R=1m, g=10 m/s2, K=25 Nm−1 ]