QUESTION

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The exercise machine consists of a rigid bar, pin connected to the frame at $A$. As the man pushes up on the bar it stretches the rubber band $B C$. Neglect the weight of the bar. When no force is applied to the brake pedal of the lightweight truck, the retainer spring $A B$ keeps the pedal in contact with the smooth brake light switch at $C$. Consider the beam shown in. Suppose that the distributed load $w=800 \mathrm{lb} / \mathrm{ft}$. Follow the sign convention. If the stiffness of the rubber band is $k=350 \mathrm{lb} / \mathrm{ft}$, determine the a| vertical force $\mathbf{F}$ needed to hold the bar in the position $\theta=30^{\circ}$. The is unstretched when $\theta=0^{\circ}$. If the force on the switch is $0.5 \mathrm{~N}$, determine the unstretched len spring if the stiffness of the spring is $k=70 \mathrm{~N} / \mathrm{m}$.

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