A block of mass m slides down the plane inclined at angle 30° with an acceleration (g/4). The value of coefficient of kinetic friction will be:

Question

A block of mass m slides down the plane inclined at angle 30° with an acceleration (g/4). The value of coefficient of kinetic friction will be: (A) (2 √3+1/2) (B) (2 √3-1/2) (C) (√3/2) (D) (1/2 √3)

Tardigrade Admin · Accepted Answer

Mg sin 30°-μ mg cos 30°= ma (g/2)-(√3/2) ⋅ μ g=(g/4) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b4c4db51ce462bbec30c96b535e8fb30-.png" />

Q. A block of mass $m$ slides down the plane inclined at angle $3 0^{\circ}$ with an acceleration $\frac{g}{4}$ . The value of coefficient of kinetic friction will be:

$\frac{2 3 + 1}{2}$

$\frac{2 3 - 1}{2}$

$\frac{3}{2}$

$\frac{1}{2 3}$

$M g sin 3 0^{\circ} - μ m g cos 3 0^{\circ} = ma$
$\frac{g}{2} - \frac{3}{2} \cdot μg = \frac{g}{4}$

Q. A block of mass m slides down the plane inclined at angle 30∘ with an acceleration 4g​. The value of coefficient of kinetic friction will be:

223​+1​

223​−1​

23​​

23​1​