Problem $3(4$ pts$)$

You are tasked with verifying the moment required to turn a steering wheel $($see diagram below$).$ Unfortunately, the only tool you have on hand is a spring scale that has a maximum deflection of $3$ inches with a spring constant of $2\mathrm{.}5lb\frac{f}{i}n.$ If you are asked to confirm that the moment value is $60lb**iin,$ what is the minimum distance from the center of the steering wheel that enables you to use the spring scale $($i$.$e$.$ not hit its limit$)?*$Note this distance is often referred to as a moment arm.

Problem $4(4$ pts$)$

The allowable stress $($referred to as the yield stress$)$ for the bar shown in the figure below is given as ${}_{\text{y}\text{i}\text{e}\text{l}\text{d}}=250$MPa. What is the maximum force in N that the bar can support? $($the small arrows indicate the direction of the applied force$).$ If the picture isn't clear, the bar is $5$ mm thick and $10$ cm wide.

Problem $5(4$ pts$)$

A car with a mass of $1500$ kg accelerates at a constant rate equal to $4\frac{m}{s^2}$ for a distance of $490$ meters. It takes the car $10$ seconds to travel this distance. Hint, use the definitions we went over in the class slides for each of the quantities requested.

a$)$ What is the Force required?

b$)$ How much work is done?

c$)$ The average amount of power in horsepower $($ hp $)$ for this scenario?