Class 11 Exam  >  Class 11 Questions  >  A small body is released from the rest on a f... Start Learning for Free
A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is?
Verified Answer
A small body is released from the rest on a fixed smooth inclined plan...
Here, we use the relation between the angles of inclination of particles to find the angle of inclination of the plane with the horizontal. Further, by substituting the given values we get the required result. Also, we will study the angle of inclination and basic frictional force, due to which an object cannot move smoothly.
Formula used:

As we know that the angle of inclination is an angle between the line and the x-axis.
Here, inclination a of the particle is given as:

Now, to find the angle of inclination of the plane with the horizontal we have the relation:

Here, θ is the required angle of inclination of the plane with the horizontal.
Substituting the given values in above equation we get:


Therefore, we get the required angle of inclination of plane with the horizontal i.e., θ=30∘.
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
A small body is released from the rest on a fixed smooth inclined plan...
Analysis of the velocity-time graph


To determine the angle of inclination of the plane, we need to analyze the given velocity versus time graph of the body released from rest.

Understanding the graph


The graph shows that the velocity of the body increases linearly with time. This is evident from the fact that the graph is a straight line.

Interpreting the slope of the graph


The slope of the velocity-time graph represents the acceleration of the body. Since the velocity-time graph is a straight line, the acceleration is constant.

Calculating the acceleration


To calculate the acceleration, we can use the formula:

Acceleration (a) = Change in velocity / Change in time

From the graph, we can see that the change in velocity is given by the vertical difference between the initial and final velocities. The change in time is given by the horizontal difference between the initial and final times.

Determining the angle of inclination


The angle of inclination of the plane can be determined using the formula:

Acceleration (a) = g * sin(θ)

Where g is the acceleration due to gravity and θ is the angle of inclination.

From the previous step, we have calculated the acceleration. By substituting the known values into the formula and rearranging it, we can solve for the angle of inclination.

Conclusion


By analyzing the given velocity-time graph, we can calculate the acceleration of the body and then determine the angle of inclination of the plane. The angle of inclination can be found by rearranging the formula for acceleration and substituting the known values.
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

Top Courses for Class 11

A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is?
Question Description
A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? 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 small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is?.
Solutions for A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? 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 small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? defined & explained in the simplest way possible. Besides giving the explanation of A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is?, a detailed solution for A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? has been provided alongside types of A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? theory, EduRev gives you an ample number of questions to practice A small body is released from the rest on a fixed smooth inclined plane at t=0. Velocity versus time graph of the body us as shown in the figure. The angle of inclination of the plabe with the horizontal is? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev