The block brake consists of a pin-connected lever and friction block at b. the coefficient of static friction between the wheel and the lever is μs = 0.3, and a torque of 5 n⋅m is applied to the wheel. determine if the brake can hold the wheel stationary when the force applied to the lever is (a) p = 30 n, (b) p = 70 n.

a) Insufficient

b) Sufficient

Explanation:

To hold lever:

Sum of moments about point O center of wheel = 0

Fb * 0.15 - 5 =0

Fb = 33.33N

Contact force Nb:

Nb = (Fb/u) = (33.333 / 0.3) = 111.1 N

Sum of moments about point A lever pin joint = 0

Preq * 0.6 - 111.1*0.2 - 33.33*0.05 = 0

Preq = 39.8 N

part a

P = 30N < Preq = 39.8N

Hence, insufficient

part b

P = 70N > Preq = 39.8N

Hence, sufficient

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