Friction in vertical circular motion

Consider the above figure, the question is what should be the minimum velocity to be given to the block so that it just reaches the top most point of the loop. And yes friction does exist. Coefficient of friction between the block and the circular loop is μ \mu .

Can this problem be solved? If yes, please let me know.

I came up with this problem while solving a similar problem. I have no idea how to solve, u might

Note by Sparsh Sarode
2 years, 11 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

click here for solution

Rohith M.Athreya - 2 years, 11 months ago

Log in to reply

U can also solve it using only work energy theorem without polar coordinates, Solution.jpg Solution.jpg

Sumanth R Hegde - 2 years, 11 months ago

Log in to reply

its great that we finally got the same answer :)

Rohith M.Athreya - 2 years, 11 months ago

Log in to reply

Yea :)

Sumanth R Hegde - 2 years, 11 months ago

Log in to reply

@Sumanth R Hegde slack

Rohith M.Athreya - 2 years, 11 months ago

Log in to reply

Thx guys.. I initially thought it was impossible to solve... :)

Sparsh Sarode - 2 years, 11 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...