Inclined plane

In the above figure, the angle θ \theta between the inclined plane and the floor is being increased gradually, until the object with mass m starts to slide down the slope at θ = 45 ° . \theta = 45°. Find the coefficient of static friction between the plane and the object.

Gravitational acceleration is g = 10 g= 10 m/s 2 . ^{2}.


The answer is 1.

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8 solutions

there's a formula for the coefficient of friction .....tan(theta)=coeff of friction ......where theta is the angle of the slope ........using that .....tan(45)=1=coeff of friction

Jason Vuong
May 6, 2014

Use 2nd Newton Law: F = ma, we got: Normal force = mgcos45. Friction force = coefficient of friction * normal force = mgsin 45. So, coefficient of friction = (mgsin 45)/(mgcos 45) = tan45 = 1

Paulo Carlos
Feb 28, 2015

µ e µe = tan θ \tan \theta

µ e µe = tan 4 5 \tan 45^\circ

µ e µe = 1 1

Umang Vasani
Jun 9, 2014

Co-efficient of friction is given as μ s = tan θ \mu_{s} = \tan \theta now θ = 45 \theta = 45

Asad Ullah
May 6, 2014

As formula: Tan theta = Meu s (coefficient of friction), now putting the value of theta in above formula

Ojasvi Sharma
Aug 28, 2017

Coefficient of limiting friction = tan(\theta) Therefore Coefficient of limiting friction = tan π/4 =1.

Lira Zabin
May 5, 2014

R-mg cos45=0,mg sin45-fs=0, so co eff= sin45/cos 45

Kunal Mandil
May 3, 2014

at 45 angle

mgsin(45) = k mgcos45 ( k= coefficient of friction )

k=1

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