×

# I am confused!! Someone help me out??

There was an Assertion/Reason in our last test at coaching. I am still confused on it!

Statement 1: If a disc of radius $$\frac{R}{2}$$ rolls in a circular ring of radius R without slipping then all particles on circumference of disc moves on straight lines. (Ring is fixed)

Statement 2:Angular velocity of disc and the angular velocity of centre of the disc wrt centre of ring are equal.

A) Statement 1 is false and Statement 2 is true.

B) Satement 1 is true and Statement 2 is false.

C) Both are true, and Statement 2 explains Statement 1.

D) Both are true, but Statement 2 does not explains Statement 1.

Thats quite obvious that statement two is wrong as angular velocities being vectors in opposite direction cannot be equal. Can someone explain how statement 1 is correct?

Note by Pranjal Jain
3 years, 3 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. 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 1paragraph 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 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

Here is the solution.

Image

- 3 years, 3 months ago

Here is an excellent article on discs rolling inside rings of various sizes. Scroll down to the discussion regarding a disc of half the radius of the ring to find three diverse proofs of statement 1. Sorry for 'being lazy' and just providing a link, but since an explanation is greatly enhanced by the inclusion of diagrams I felt this was the appropriate thing to do.

- 3 years, 3 months ago

Yeah! Ok thanks! Lemme check it out!

- 3 years, 3 months ago