Question

17.
Four identical plates of mass M and length L are placed on one another on the table so as to produce the maximum
overhang as shown in figure. The maximum total overhang will be:
24L
(C) 24
25L
(D)
()
(B)
25​

Answer 1

Answer:

24L/25.

Explanation:

If we take the displacement of the whole system to be x. So, when the four identical plates are placed one upon the other in such a manner that it will produce maximum overhang. Then each plates center of gravity must remain constant.

So, if the mass of the plates are M and length L. So, Mx=M(L/2-x) which on solving we will get the value of x=L/4. Again fr the n number blocks we will have M(L/2 - xn) = M(n-1)xn which on solving we will get L/2n. So, for the 4 blocks we will get L/2,L/4,L/6,L/8 which will be 24L/25.