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

Question

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 (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

P=M Vc m=M(ω ⋅ (4 R/3 π)) P=5(6 × (4(2 π)/3 π))=80

Q. A semi circular disc start rotating $($ at $t = 0)$ with constant angular acceleration $α = 2 r a d / s^{2}$ about axis $O$ as shown in figure. Mass and radius of semi-circular disc are $5 k g$ and $(2 π) m$ respectively. Magnitude of linear momentum of disc at $t = 3 s ($ in $k g m / s)$ is

$P = M V_{c m} = M (ω \cdot \frac{4 R}{3 π})$
$P = 5 (6 \times \frac{4 ( 2 π )}{3 π}) = 80$

Q. A semi circular disc start rotating ( at t=0) with constant angular acceleration α=2rad/s2 about axis O as shown in figure. Mass and radius of semi-circular disc are 5kg and (2π)m respectively. Magnitude of linear momentum of disc at t=3s( in kgm/s) is

P=MVcm​=M(ω⋅3π4R​) P=5(6×3π4(2π)​)=80

Q. A semi circular disc start rotating $($ at $t = 0)$ with constant angular acceleration $α = 2 r a d / s^{2}$ about axis $O$ as shown in figure. Mass and radius of semi-circular disc are $5 k g$ and $(2 π) m$ respectively. Magnitude of linear momentum of disc at $t = 3 s ($ in $k g m / s)$ is

$P = M V_{c m} = M (ω \cdot \frac{4 R}{3 π})$
$P = 5 (6 \times \frac{4 ( 2 π )}{3 π}) = 80$