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  4. A semi circular disc start rotating ( at t=0) with constant angular acceleration α=2 rad / s 2 about axis O as shown in figure. Mass and radius of semi-circular disc are 5 kg and (2 π) m respectively. Magnitude of linear momentum of disc at t=3 s ( in kg m / s ) is

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Q. A semi circular disc start rotating $($ at $t=0)$ with constant angular acceleration $\alpha=2 \,rad / s ^{2}$ about axis $O$ as shown in figure. Mass and radius of semi-circular disc are $5\, kg$ and $(2 \pi) m$ respectively. Magnitude of linear momentum of disc at $t=3 \,s ($ in $kg \,m / s )$ isPhysics Question Image

System of Particles and Rotational Motion

Solution:

$P=M V_{c m}=M\left(\omega \cdot \frac{4 R}{3 \pi}\right)$
$P=5\left(6 \times \frac{4(2 \pi)}{3 \pi}\right)=80$