JEE Exam > JEE Questions > A car is moving in a circular horizontal trac...
Start Learning for Free
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is
- a)Zero
- b)30º
- c)45º
- d)60º
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A car is moving in a circular horizontal track of radius 10 m with a c...
Free Test
FREE
| Start Free Test |
Community Answer
A car is moving in a circular horizontal track of radius 10 m with a c...
The angle made by the rod with the track is 30 degrees.
To determine this, we can consider the forces acting on the plumb bob.
Since the car is moving in a circular path, there must be a centripetal force acting towards the center of the circle to keep the car moving in a curved path. This force is provided by the tension in the rod.
The weight of the plumb bob acts downward and can be resolved into two components: one parallel to the track and one perpendicular to the track. The component parallel to the track does not affect the tension in the rod, as it is balanced by the normal force from the track.
The component perpendicular to the track is balanced by the tension in the rod. This creates a right triangle with the rod as the hypotenuse, the perpendicular component as the adjacent side, and the radius of the track as the opposite side.
We can use the trigonometric relationship cosine to solve for the angle made by the rod with the track.
cos(angle) = adjacent/hypotenuse
cos(angle) = radius/length of the rod
cos(angle) = 10/1
angle = arccos(10/1)
angle ≈ 30 degrees
Therefore, the angle made by the rod with the track is approximately 30 degrees.
To determine this, we can consider the forces acting on the plumb bob.
Since the car is moving in a circular path, there must be a centripetal force acting towards the center of the circle to keep the car moving in a curved path. This force is provided by the tension in the rod.
The weight of the plumb bob acts downward and can be resolved into two components: one parallel to the track and one perpendicular to the track. The component parallel to the track does not affect the tension in the rod, as it is balanced by the normal force from the track.
The component perpendicular to the track is balanced by the tension in the rod. This creates a right triangle with the rod as the hypotenuse, the perpendicular component as the adjacent side, and the radius of the track as the opposite side.
We can use the trigonometric relationship cosine to solve for the angle made by the rod with the track.
cos(angle) = adjacent/hypotenuse
cos(angle) = radius/length of the rod
cos(angle) = 10/1
angle = arccos(10/1)
angle ≈ 30 degrees
Therefore, the angle made by the rod with the track is approximately 30 degrees.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer?
Question Description
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer?.
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plump bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track isa)Zerob)30ºc)45ºd)60ºCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup