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Two fixed frictionless inclined planes m...

Two fixed frictionless inclined planes making angles 30° and 60° with the vertical are shows in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

A

`90^(@),cos^(-1)((1)/(sqrt3))0^(@)`

B

`0^(@),cos^(-1)sqrt3,90^(@)`

C

`0^(@),cos^(-1)sqrt3,90^(@)`

D

`cos^(-1)((1)/(sqrt3))90^(@),0^(@)`

Text Solution

Verified by Experts

What a is horizontal

`tanalpha=(a_(n))/(a_(t))=(v^(2)//l)/(g sinalpha)=(2gh//l)/(g sinalpha)`
`=(2glcosalpha//l)/(gsinalpha)=2cot alpha`
`rArr" "tanalpha=sqrt2`
or `cosalpha=(1)/(sqrt3)`
`therefore" "alpha=cos^(-1)((1)/(sqrt3))`
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