the force required to just move a body up the inclined plane is double the force required to just prevent the body form sliding down the plane. the coefficent of friction is µ . if θ is the angle of inclination of the plane the tan θ is equal to :

a. µ

b. 3 µ

c. 2 µ

d. 0.5 µ

Question

the force required to just move a body up the inclined plane is double the force required to just prevent the body form sliding down the plane. the coefficent of friction is µ . if θ is the angle of inclination of the plane the tan θ is equal to :

a. µ

b. 3 µ

c. 2 µ

d. 0.5 µ

Badiuddin askIITians.ismu Expert · Answer

Rohan Bhatia

force required to prevent the body from sliding

θ

F=mgsinθ-µmgcosθ

force required to just move the body up

F1=mgsinθ+µmgcosθ

it is given

F1=2f

mgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)

0r 3µmgcosθ=mgsinθ

tanθ=3µ

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
We are all IITians and here to help you in your IIT JEE preparation.
All the best Rohan.
Regards,
Askiitians Experts
Badiuddin

Manvi · Answer

In the equation for force required to prevent the body from sliding - frictional force should have been opposite to the force applied? Isn`t it? Why is it in the direction of force. Pls explain

Oluwadara · Answer

For a sliding body, it means (mgsin t) is greater than the frictional force, so the to balance it up(to make it static) you need to add up to the frictional force to make equal to the mgsin t( the resolution of the weight of the body according to the plane).So we have F +Fr = mgsin tBut It will be F= mgsin t + Fr ( for the force to move it up the plane)

ankit singh · Answer

Rohan Bhatia

force required to prevent the body from sliding

θ

F=mgsinθ-µmgcosθ

force required to just move the body up

F1=mgsinθ+µmgcosθ

it is given

F1=2f

mgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)

0r 3µmgcosθ=mgsinθ

tanθ=3µ

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
We are all IITians and here to help you in your IIT JEE preparation.
All the best Rohan.
Regards,
Askiitians Experts
Badiuddin

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

the force required to just move a body up the inclined plane is double the force required to just prevent the body form sliding down the plane. the coefficent of friction is µ . if θ is the angle of inclination of the plane the tan θ is equal to : a. µ b. 3 µ c. 2 µ d. 0.5 µ

the force required to just move a body up the inclined plane is double the force required to just prevent the body form sliding down the plane. the coefficent of friction is µ . if θ is the angle of inclination of the plane the tan θ is equal to :

a. µ

b. 3 µ

c. 2 µ

d. 0.5 µ

4 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Mechanics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship