A `5 - kg` block sides down a plane inclined at `30^(@)` to the horizontal. Find
(a) The acceleration of the block if the plase is frictionless
b. The acceleration if the coefficient of kinetic friction is `1//2sqrt(3)`

Explanation

a. `mg sin 30^(@) = ma`
`a = g sin 30^(@)= 5 ms^(-2)` down the plane if plane is smooth M

b.`mg sin 30^(@) - mu_(k)N = ma`
`a = g sin 30^(@ )- mu_(k)g cos 30^(@) = 5//2 ms^(-2)`