A wheel rotating freely about its axis is brought to rest in time t0 by the application of two brake blocks to its surface. Each block produces a constant force F acting tangentially to the rim of the wheel. The disc radius is a. The initial angular momentum of the wheel about its axle is

Engineering

Physics

Moment of Inertia

Torque and Equilibrium of Rigid Bodies

Angular Momentum and Conservation of Angular Momentum

Question

A wheel rotating freely about its axis is brought to rest in time t₀ by the application of two brake blocks to its surface. Each block produces a constant force F acting tangentially to the rim of the wheel. The disc radius is a. The initial angular momentum of the wheel about its axle is

$\frac{{Ft}_{0}}{2 a}$

Fat₀

2Fat₀

$\frac{2 {at}_{0}}{F}$

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L = τ × t
τ = 2F × a ⟹ L = 2Fat