Class 11 Exam > Class 11 Questions > A body of mass 20kg is placed on an inclined ...
Start Learning for Free
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane?
Most Upvoted Answer
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf ...
Motion of a Body on an Inclined Plane
Given information:
- Mass of the body, m = 20 kg
- Inclined plane rises 1 in 100 (which means the angle of inclination, θ, is given by tan θ = 1/100)
- Coefficient of friction, μ = 0.25
Force Required to Set the Body in Motion:
To calculate the force required to set the body in motion up the inclined plane, we need to consider the forces acting on the body. These include:
1. Weight of the body (mg): The weight of the body acts vertically downward and can be calculated by multiplying the mass of the body (m) by the acceleration due to gravity (g = 9.8 m/s^2).
2. Normal force (N): The normal force acts perpendicular to the inclined plane and balances the weight of the body. It can be calculated as N = mgcosθ.
3. Force of friction (f): The force of friction opposes the motion of the body and acts parallel to the inclined plane. It can be calculated as f = μN, where μ is the coefficient of friction.
4. Force applied (F): This is the force required to set the body in motion up the inclined plane.
Calculating the Normal Force:
The normal force acts perpendicular to the inclined plane and balances the weight of the body. It can be calculated as N = mgcosθ.
Given that θ = tan^(-1)(1/100), we can find cosθ.
cosθ = 1/√(1 + tan^2θ) = 1/√(1 + (1/100)^2) = 1/√(1 + 1/10000) = 1/√(10001/10000) = 1/√10001 ≈ 0.009999
Therefore, N = mgcosθ = (20 kg)(9.8 m/s^2)(0.009999) ≈ 1.95982 N
Calculating the Force of Friction:
The force of friction opposes the motion of the body and acts parallel to the inclined plane. It can be calculated as f = μN, where μ is the coefficient of friction and N is the normal force.
f = (0.25)(1.95982 N) ≈ 0.489955 N
Calculating the Force Required to Set the Body in Motion:
To set the body in motion up the inclined plane, the applied force (F) must be greater than the force of friction (f). Therefore,
F > f
F > 0.489955 N
The minimum force required to just set the body in motion up the plane is slightly greater than the force of friction, which is approximately 0.489955 N.
Given information:
- Mass of the body, m = 20 kg
- Inclined plane rises 1 in 100 (which means the angle of inclination, θ, is given by tan θ = 1/100)
- Coefficient of friction, μ = 0.25
Force Required to Set the Body in Motion:
To calculate the force required to set the body in motion up the inclined plane, we need to consider the forces acting on the body. These include:
1. Weight of the body (mg): The weight of the body acts vertically downward and can be calculated by multiplying the mass of the body (m) by the acceleration due to gravity (g = 9.8 m/s^2).
2. Normal force (N): The normal force acts perpendicular to the inclined plane and balances the weight of the body. It can be calculated as N = mgcosθ.
3. Force of friction (f): The force of friction opposes the motion of the body and acts parallel to the inclined plane. It can be calculated as f = μN, where μ is the coefficient of friction.
4. Force applied (F): This is the force required to set the body in motion up the inclined plane.
Calculating the Normal Force:
The normal force acts perpendicular to the inclined plane and balances the weight of the body. It can be calculated as N = mgcosθ.
Given that θ = tan^(-1)(1/100), we can find cosθ.
cosθ = 1/√(1 + tan^2θ) = 1/√(1 + (1/100)^2) = 1/√(1 + 1/10000) = 1/√(10001/10000) = 1/√10001 ≈ 0.009999
Therefore, N = mgcosθ = (20 kg)(9.8 m/s^2)(0.009999) ≈ 1.95982 N
Calculating the Force of Friction:
The force of friction opposes the motion of the body and acts parallel to the inclined plane. It can be calculated as f = μN, where μ is the coefficient of friction and N is the normal force.
f = (0.25)(1.95982 N) ≈ 0.489955 N
Calculating the Force Required to Set the Body in Motion:
To set the body in motion up the inclined plane, the applied force (F) must be greater than the force of friction (f). Therefore,
F > f
F > 0.489955 N
The minimum force required to just set the body in motion up the plane is slightly greater than the force of friction, which is approximately 0.489955 N.
Community Answer
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf ...
Static frictional
force
force
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane?
Question Description
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane?.
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane?.
Solutions for A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? defined & explained in the simplest way possible. Besides giving the explanation of
A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane?, a detailed solution for A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? has been provided alongside types of A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? theory, EduRev gives you an
ample number of questions to practice A body of mass 20kg is placed on an inclined plane rising 1 in 100.lf the coefficient of friction is 0.25 what force applied to just set the body in motion up the plane? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup