Distance And Displacement

For the blocks

A

and

B%20FBD

as shown below Equations of motion

a_%7BA%7D%3D%5Cfrac%7BF%7D%7BM%7D

(in

-x

direction)

a_%7BB%7D%3D%5Cfrac%7BF%7D%7BM%7D

(in

%2Bx

direction)
Relative acceleration, of

A%20w%20.%20r%20.%20t%20.%20B

a_%7BA%2C%20B%7D%3Da_%7BA%7D-a_%7BB%7D%3D-%5Cfrac%7BF%7D%7Bm%7D-%5Cfrac%7BF%7D%7BM%7D

%3D-F%5Cleft(%5Cfrac%7BM%2Bm%7D%7BM%20m%7D%5Cright)

(along

-x

direction ) Initial relative velocity of

A

w.r.t

B%2C%20u_%7BA%20B%7D%3Dv_%7B0%7D

using equation

v%5E%7B2%7D%3Du%5E%7B2%7D%2B2%20a%20s

0%3Dv_%7B0%7D%5E%7B2%7D-%5Cfrac%7B2%20F(m%2B%20M)%20S%7D%7BM%20m%7D

%5CRightarrow%20S%3D%5Cfrac%7BM%20m%20v_%7B0%7D%5E%7B2%7D%7D%7B2%20F(m%2B%20M)%7D

i.e., Distance moved by

A

relative to

B

S_%7BA%20B%7D%3D%5Cfrac%7BM%20m%20v_%7B0%7D%5E%7B2%7D%7D%7B2%20F(m%2B%20M)%7D

Chapter Questions
2 MCQs