A system of two blocks and a light string are kept on two inclined faces (rough) as shown in figure. All the required data is mentioned in the diagram pulley is light and frictionless `(Take g = 10ms^(-2) , sin 37^(@) = 3//5)`

If the system is released from rest , then the acceleration of the system is

Options

A. `13.33s`
B. `80s`
C. Infinite
D. Question is irrelevant

Answer

a

Explanation

As it is given that system is moving initaily in a specific dorection it mean direction a knowans it is kinetic in nature
`a = (10g sin 37^(@)- 5 sin 37^(@)- f_(1) - f_(2))/(15)`
`f_(1) = mu_(k_1)xx g sin 37^(@)= 20.0`
`f_(2)= mu_(k_2)xx5 g sin 37^(@)=2.25 `
`(2.25)/(15) = ms^(-1)`

so the required time
`t_(0) = (2)/(2.25//15)= (30)/(1.25)= 13.33s`