plz elaborate by figure and step by step question no 4

Asked by Harshhacker2580 | 4th May, 2020, 05:32: PM

Expert Answer:

T h e space s y s t e m space s t a r t s space f r o m space r e s t.

C o n s i d e r space t h a t space a f t e r space i t space i s space r e l e a s e d space t h e space s y s t e m space c o m e s space t o space r e s t space a g a i n space w h e n space r i g n space f a l l s space f r o m space a space d i s tan c e space s a y space apostrophe y apostrophe
b e l o w space i t s space i n i t i a l space p o s i t i o n space a n d space b l o c k space h a s space b e e n space r a i s e d space b y space d i s tan c e space h. space

L o s s space o f space P. E. space b y space t h e space r i n g space equals space P. E space g a i n e d space b y space b l o c k space

T h u s comma space
m g y space equals space M g h space.... left parenthesis 1 right parenthesis space

W h e n space t h e space r i n g space h a s space f a l l e n space a space d i s tan c e space apostrophe y apostrophe comma space t h e space l e n g t h space o f space s t r i n g space i s space

L squared space equals space a squared space plus space y squared space
h space equals space L space minus space a space

T h u s comma space
L squared space equals space left parenthesis h plus a right parenthesis squared space space a squared plus y squared space equals space h squared space plus space 2 space a h space plus space a squared space

H e n c e comma space
y squared equals space h squared space plus space 2 space a h
C o n s i d e r comma space k space equals m over M space... left parenthesis 2 right parenthesis

S o space w e space c a n space w r i t e comma space h space equals space k y space... space left parenthesis f r o m space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis space
S o comma space
S u b s t i t u t i n g space i n space left parenthesis 1 right parenthesis comma space w e space g e t space
open parentheses k y close parentheses squared space equals k squared space y squared space equals space h squared space space equals space y squared space minus space 2 a h space equals space y squared space minus space 2 a k y
T h u s comma space
left parenthesis 1 minus k squared right parenthesis space equals space 2 a k space
y equals fraction numerator 2 a k over denominator left parenthesis 1 minus k squared right parenthesis end fraction space equals space fraction numerator 2 a m M over denominator open parentheses M squared space minus space m squared close parentheses end fraction

Answered by Shiwani Sawant | 4th May, 2020, 11:47: PM