Answer

Verified

418.2k+ views

**Hint:**Instantaneous center of rotation is the point where the velocity is zero at a particular point and particular time the point is fixed to a body. In order to find the solution for the above question we have to find the point where the velocity is zero at a particular instant of time.

**Formula used:**

$\Rightarrow v=r\omega $

$\to $ v = tangential velocity

$\to $ω = angular velocity

$\to $r = wheel radius or the disc radius

**Complete answer:**

Given data

Angular velocity (ω) = 10rad/s

Velocity (v) = 4m/s

Radius of the disc (r) = 0.2m

Now suppose A is the point where velocity is zero at instant of time as shown in the figure.

Let the center of mass of disc be C and the distance at point A from C is Q

Now tangential velocity at point A is

$\Rightarrow vt=Q\times \omega .....(1)$

Now velocity of the disc is

$\Rightarrow v=4m/s.....(2)$

Now in order to get the instantaneous center the velocity needs to be zero at a particular instant of time.

Hence,

$\Rightarrow vt-v=0...(3)$

Here put (-ve) sign because both are in opposite directions as shown in figure. Now substitute value of equation (1) and (2) in equation (3)

$\begin{align}

& \Rightarrow Q\times \omega -4=0 \\

& \Rightarrow Q\times 10=4 \\

& \Rightarrow Q=\dfrac{4}{10} \\

& \therefore Q=0.4m \\

\end{align}$

So instantaneous center of rotation is 0.4m from center of mass C. Hence distance from O is 0.2m

**So that correct answer is option (A) 0.2m below O.**

**Note:**

Here we are getting an answer as 0.4 m so we can be mistaken by thinking option (D) is correct but we have to notice that we find an instantaneous center from center of mass C which is 0.2 m above O so our correct answer will be 0.2 m below point O.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Give 10 examples for herbs , shrubs , climbers , creepers

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is BLO What is the full form of BLO class 8 social science CBSE