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Two blocks each of mass m lie on a smoot...

Two blocks each of mass m lie on a smooth table. They are attached to two other masses as shown in the figure. The pulleys and strings are light. An object O is kept at rest on the table. The sides AB & CD of the two blocks are made reflecting. The acceleration of two images formed in those two reflecting surfaces w.r.t. each other is:

A

`(5g)/(6)`

B

`(5g)/(3)`

C

`(17g)/(12)`

D

`(17g)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
`a_(LHS)=a_(1)=("Net pulling force")/("Total mass")=(3mg)/(4m)=3/4 g`
`a_(I_(1))=2a(I_(1)) =3/2 g`
`a_(RHS)=a_(2)=("Net pulling force")/("Total mass")=(2mg)/(3m)`
`a_(I_(2))=2a(I_(2)) =4/3 g=2/3 g`
The relative acceleration is therfore:
`(3/2)g+(4/3) g=(17/6)g`.
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Knowledge Check

  • Mirrors are attached to sides AB and CD of two blocks each of mass m lying on a smooth table. These blocks are attached to two other masses as shown in figure. An object O is kept at rest on the table in between the two reflecting surfaces. What is the acceleration of two images formed in those two reflecting surfaces with respect to each other provided pulleys and strings are massless?

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