A cubic block of mass m is sliding down on an inclined plane at 60^...

A cubic block of mass

m

is sliding down on an inclined plane at

60^{\circ}

with an acceleration of

\frac{\mathrm{g}}{2}

, the value of coefficient of kinetic friction is A cubic block of mass m is sliding down on an inclined plane at 60^ with an acceleration of g 2 , the value of

A cubic block of mass m is sliding down on an inclined plane at 60^ with an acceleration of g 2 , the value of

Options

A $\sqrt{3}-1$
B $\frac{\sqrt{3}}{2}$
C $\frac{\sqrt{2}}{3}$
D $1-\frac{\sqrt{3}}{2}$

Correct answer

A. $\sqrt{3}-1$

Step-by-step solution

\mathrm{mg} \sin 60^{\circ}-\mu \mathrm{mg} \cos 60^{\circ}=\mathrm{ma}

g \sin 60-\mu g \cos 60=\frac{g}{2}

\frac{\sqrt{3}}{2}-\frac{\mu}{2}=\frac{1}{2}

\mu=\sqrt{3}-1

Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

A block takes t time to slide down a plane inclined at 45° to the horizontal. If the… JEE Main 2026 Two blocks ( P and Q ) with respectively masses 2 kg and 1.5 kg are joined by a massless… JEE Main 2026 A mass of 1 kg is kept on an inclined plane with 30° inclination with respect to… JEE Main 2026 Three masses m_1 = 4 kg, m_2 = 4 kg and m_3 = 6 kg are suspended from a fixed smooth… JEE Main 2026 A wedge Y with mass of 10 kg and all frictionless surfaces and the inclined surface… JEE Main 2026 At t=0 , a body of mass 100 g starts moving under the influence of a force (5 i +10 j )… JEE Main 2026 The time taken by a block of mass m to slide down from the highest point to the lowest… JEE Main 2026 A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m… JEE Main 2026 Full Laws of Motion list All JEE Main PYQs