Force Acting on an Inclined Plane
Force Acting on an Inclined Plane
The normal forces in an inclined plane are not always directed upward opposite to the direction of gravity but rather they are always directed perpendicular to the surface that the object is on. To understand the direction of the force acting on an inclined plane the force acting on the object will has to be resolved in two components.The force that is directed to an angle to the horizontal is resolved into horizontal and vertical components. This can be explained with the help of an example.
For example:
In the figure the object is moving down an inclined plane which is making an angle with the plane, with Force = f
.jpg)
The normal force = N and it is perpendicular to the plane
is the weight of the load.
The component that balances the Normal force
The component that is responsible for the sliding motion is
In the absence of the friction and the other forces, the acceleration of an object is the value of the parallel component divided by the mass.It results in the equation as
In the presence of the friction and other forces such as applied force and tensional force, it gets slightly complicated.
Q 1. A five kg mass, initially at rest, slide down a friction less incline.Calculate the force parallel to the incline and the acceleration of the mass . If the incline is 0.8 m long, calculate the velocity of the mass when it reaches the bottom of the incline.
Solution: We have to calculate force parallel to the incline , acceleration and the velocity of the mass
The force parallel to the incline ,
= (5)(9.8)(sin30) = 24.5 N downwards (sin 30 = 0.5)
Acceleration of the mass is , = (9.8)(sin 30) =
Velocity of the mass on reaching the bottom can be find out using equation
Here, u = 0 , a = and s = 0.8 m
So,
Q. A 2 kg mass is incline down an inclined plane with an unknown angle , as shown.The incline is assumed to be frictionless and is 1.2 m long. The mass start from the rest and is observed to take 2.3s to reach the bottom . What is the angle of incline?
Solution: A of the mass along the incline,
.....................(i)
We need to use this formula ,
.................(ii)
Now, from equation (i) and (ii)
The normal forces in an inclined plane are always directed ___________________ to the surface that the object is on. | |||
| Right Option : B | |||
| View Explanation | |||
A cylinder rolls up without slipping on an inclined plane and,after reaching a certain height, rolls down without slipping then,then the direction of the frictional forces on the cylinder acting parallel to the inclined plane are _________________________ . | |||
| Right Option : B | |||
| View Explanation |
Which of the following are correct : (a) In the presence of the friction and other forces such as applied force and tensional force, it gets slightly complicated. (b) The force that is directed to an angle to the horizontal is resolved into horizontal and vertical components. | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
