Flag IIT JEE Entrance Exam> A block of mass m is placed on a surface ...
question mark

A block of mass m is placed on a surface with a vertical cross section given by y = x^3/6. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is ?

Gopal Dahale , 8 Years ago
Grade 11
anser 1 Answers
Vikas TU

Last Activity: 4 Years ago

Let m be the mass of the block and μ​ be the coefficient of friction. For the sliding plane, we have
 
mgsinθ = μmgcosθ
⇒tanθ = μ
Now, we may write⇒dydx=tanθ=μ=12
We have given, y=x^3/6
∴dy/dx=x^2/2=12⇒x2=1
∴ y=16 m

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...