The forces F1 and F2 in a brake band and the direction

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The forces F₁ and F₂ in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is 0.25. The angle of wrap is 3π/2 radians. It is given that R = 1 m and F2 = 1 N. The torque (in Nm) exerted on the drum is ________ .

1. 2.8 N-m
2. .248 N-m
3. 2.248 N-m
4. None of the above

Correct Option: C

	F₁	= e^{μ θ} = e^{0.25 × (3π / 2)} = 3.248
	F₂

∴ F₁ = 3.248 N
Torque, T = (F₁ – F₂) × r
= (3.248 – 1) × 1 = 2.248 N-m