A cylinder rotates with constant angular acceleration about a fixed axis

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

2. A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is

4 \mathrm{~kg} \mathrm{~m}^{2}

. At time

\mathrm{t}=0

the cylinder is at rest. At time

\mathrm{t}=2

seconds its angular velocity is 1 radian per second. What is the angular momentum of the cylinder at time

\mathrm{t}=2

seconds? (A)

1 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}

(B)

2 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}

(C)

3 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}

(D)

4 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}

(E) It cannot be determined without knowing the radius of the cylinder.