Pakistan MCQs

Moment of inertia depends on mass and its distribution about the axis.
Mass farther from the axis increases it.

Take initial velocity as +5 and final as -3.
|Δp|=|2(-3-5)|=16 kg·m/s.

Force equals pressure times area.
F=5000×0.02 = 100 N.

A body in rotational equilibrium has no angular acceleration.
Clockwise and counterclockwise torques balance.

Torque is force times perpendicular distance.
τ=10×0.5 = 5 N·m.

Work is W=Fd when force and displacement are parallel.
W=20×5 = 100 J.

Torque is rF sinθ.
τ=2×20×sin30° = 20 N·m.

Use W=Fd cosθ.
W=10×4×cos60° = 20 J.

Angular velocity is angular displacement divided by time.
ω=10/2 = 5 rad/s.

Kinetic energy is ½mv².
K=½×4×9 = 18 J.

Angular acceleration is change in angular velocity over time.
α=(16-4)/3 = 4 rad/s².

K=½mv².
K=½×2×100 = 100 J.