In the arrangement shown, inclined plane is smooth, strings and pulleys are massless. Find `T_(1)/T_(2)`

Options

A. `(1)/(8)`
B. `(2)/(8)`
C. `(5)/(8)`
D. `(6)/(8)`

Answer

C

Explanation

`{:(5 kg :" along the plane ",:50 sin 30^(@)-T_(1)=5a.............(i)),(3 kg :" along the plane",:30 sin 30^(@)+T_(1)-T_(2)=3a.............(ii)),(2 kg : uarr:T_(2)-2g=2a," "..............(iii)):}`
Addingk Eqs. (i) ,(ii) and (iii), we get
`20=10a implies a=2 ms^(-2)`
`T_(1)=15 N implies T_(2)=24 N`
`(T_(1))/(T_(2))=(15)/(24)=(5)/(8)`