Q.

A chain of mass M and length L is initially held in vertical position as shown in the figure. It is released from rest, then which of the following graph(s) is/are correct. Here N represents normal force by the ground on the chain and v represents velocity of free end

Question Image

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

Question Image

b

Question Image

c

Question Image

d

Question Image

answer is A, C.

(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

Consider an elemental part of length dx at height x from floor. Just before hiting the floor, its velocity is v=2gx  and  

mass element is dm=MLdx. After hiting floor this element comes to rest.Fimpulsive=dPdt=0dm2gxdt

At this moment the length of heap of chain on floor is x.Fheap=MLxgThus, N=Fheap+Fimpulsive=MgxL+2MgxL=3MgxL

=2gxdmdt=2gxMLdxdt=2gxML2gx=2MgxL

Case 1 : 0<x<LN=3MgxL Straight line passing through origin.

Case 2 : x>LN=MgWhole chain is on the floor and N becomes constant.

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon