(Solved): The bell-crank mechanism shown is in equilibrium for an applied load of \( \mathrm{P}=2 \mathrm{kN ...

The bell-crank mechanism shown is in equilibrium for an applied load of \( \mathrm{P}=2 \mathrm{kN} \) applied at A. Assume \( a=205 \mathrm{~mm}, b=150 \mathrm{~mm}, c= \) \( 5 \mathrm{~mm}, \mathrm{t}=10 \mathrm{~mm} \) and \( \theta=65^{\circ} \). Determine the minimum diameter \( d \) required for pin \( B \) for each of the following conditions: (a) The shear stress in the pin may not exceed \( 40 \mathrm{MPa} \). (b) The bearing stress in the bell crank may not exceed \( 100 \mathrm{MPa} \). (c) The bearing stress in the support bracket may not exceed \( 165 \mathrm{MPa} \). The bell-crank mechanism shown kin equilibrium for an applied load of \( \mathrm{P}=2 \mathrm{kN} \) applicd at A. Aksume a \( \approx 205 \) mim, b= \( 150 \mathrm{man}, \mathrm{c}- \) \( 5 \mathrm{~mm}, \mathrm{f}-10 \mathrm{~mm} \) and \( \theta=65^{\circ} \). Determine the minimum diameter \( d \) required for pin 8 for each of the following conditions: (a) The shear stress in the pirn may not coceed \( 40 \mathrm{MPa} \). (b) The bearing stress in the bell crank may not exceed \( 100 \mathrm{MPa} \) (c) The bearing stress in the support bracket may not exceed \( 165 \mathrm{MPa} \). Calculate the force F in the rod that is connected at \( C \). Assume the direction to the right or up as positive, otherwise as negative. Arnwerf \( F_{1}= \)