Direction: A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of 200 mm and the wrap angle of the band is 270°. The braking force applied to the lever is limited to 100 N, and the coefficient of friction between the band and the wheel is 0.5. No other information is given.
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The maximum tension that can be generated in the band during braking is
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- 1200 N
- 2110 N
- 3224 N
- 4420 N
- 1200 N
Correct Option: B
θ = 270°
μ = 0.5
Taking moment about 0,
∑ M0 = 0
⇒ T2 × 1 - 100 × 2 = 0
T2 = 200 N
= eμ θ | ||
T2 |
= e0.5 × (3π / 2) | ||
T2 |
T1 = 2110 N