‘a' બાજુઓ ધન બ્લોક સમક્ષિતિજ સમતલ પ | vedclass

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Question

Hint:

The angular speed of an object is the rate at which it rotates. To put it another way, it's the change in the object's angle per unit

Vedclass · Accepted Answer

$\frac{{3v}}{{4a}}$

Vedclass · Answer

Hint:

The angular speed of an object is the rate at which it rotates. To put it another way, it's the change in the object's angle per unit of time.

Conservation of angular Momentum:

We know that the particle's position is measured from it, the angular momentum is affected by where the origin is chosen. There are two types of angular momentum: spin angular momentum and orbital angular momentum, just as there are two types of velocity, angular velocity. The angular momentum of an object, often known as its spin angular momentum, is defined as the angular momentum around its center of mass coordinate.

Step1 : Find the angular speed of the block after it hits $O$.

Let,

$L _{ i }= L _{ f }$

$	herefore Mv \left(\frac{ a }{2}ight)$

$= I _0 \omega$

$=\left( I _{ cm }+ Mr ^2ight)$

$\omega=\left(\frac{ Ma ^2}{6}+ M \left(\frac{ a }{\sqrt{2}}ight)^2ight)$

$\omega=\frac{2}{3} Ma ^2 \omega$

$	herefore \omega=\frac{3 v}{4 a}$

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