If $\sqrt{3}$ is static friction coefficient, what is the angle of inclination of incline at which the body will start sliding?

90^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60^{\circ}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

45^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $60^{\circ}$
The body will start sliding if $μ = tan θ$ .
so, $\sqrt{3} = tan θ$
or $tan θ = tan 60^{o} \Rightarrow θ = 60^{o}$

Suggest Corrections

Similar questions

Q. A box is lying on an inclined plane, what is the coefficient of static friction if the box starts sliding when an angle of inclination is

60^{o}

Q. A box is lying on an inclined plane. If the box starts sliding when the angle of inclination is

60^{\circ}

, then the coefficient of static friction between the box and the plane is.

Q. An object placed on an inclined plane starts sliding when the angle of inclination becomes

\propto

. The coefficient of static friction between the block and object is

\frac{1}{\sqrt{3}}

then

\propto i s

Q. A box lying on an inclined plane. If the box starts sliding when the angle of inclination is

45^{o}

, then its coefficient of friction will be :

A block is at rest on an inclined plane making an angle αwith the horizontal. As the angle αof the incline is increased, the block starts slipping when the angle of inclination becomes θ. The coefficient of static friction between the block and the surface of the inclined plane is or
A body starts sliding down at an angle θto horizontal. Then coefficient of friction is equal to

Join BYJU'S Learning Program

If √3 is static friction coefficient, what is the angle of inclination of incline at which the body will start sliding?

The correct option is A 60∘The body will start sliding if μ=tanθ.so, √3=tanθor tanθ=tan60o⇒θ=60o

If $\sqrt{3}$ is static friction coefficient, what is the angle of inclination of incline at which the body will start sliding?

The correct option is A $60^{\circ}$
The body will start sliding if $μ = tan θ$ .
so, $\sqrt{3} = tan θ$
or $tan θ = tan 60^{o} \Rightarrow θ = 60^{o}$