Let F₁ and F₂ be the centrifugal forces at maximum and minimum radii of rotation 1₁ and 12 respectively of the Hartnell governor as shown in the figure. The stiffness of spring k used in the govemor is
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- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.The homogeneous bar AB weighs 25 lb. Determine the magnitudes of the forces acting on the bar at A and B. Neglect friction.The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.
- If the input force to the compound lever is P = 30 lb, calculate the output force Q.Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.The 3600-lb car with rear wheel drive is attempting to push the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide. (The car pulling the crate is analyzed in Prob. 7.19.)
- The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the spring is unstretched when =80. If W=kL, the bar has three equilibrium positions in the range 0, only one of which is stable. Determine the angle at the stable equilibrium position.The structure consists of a spring CD and a solid member ABC with a slot at B. The peg at B fits loosely into the slot at B and can hence be interpreted as a smooth support. The unstretched length of the spring is 80 mm. 50 mm 150 mm 50 mm A D C B k = 600 N/m 1.1 Draw separate free-body diagrams of member ABC and the spring CD. 1.2 Comment on the existence of two-force members and three-force members in this system. 1.3 Determine the reactions at A and B on the member ABCDetermine the magnitude and direction of the angle theta of the force FAB that must be exerted on bar AB to maintain equilibrium of the system. The suspended mass is 110 kg. Neglect the size of the pulley at A and treat all pulleys as smooth. What should happen to maintain the equilibrium of the system if FAB acts with an angle theta= 0°?Consider g = 9.81 m/s2.
- The jib crane is designed for a maximum capacity of 7 kN, and its uniform I-beam has a mass of 240 kg. Plot the magnitude R of the force on the pin at A as a function of x through its operating range of x = 0.2 m to x = 3.7 m. On the same set of axes, plot the x- and y-components of the pin reaction at A. Do these plots on a separate piece of paper. Then answer the following questions in Wiley Plus as a check for your work.(a) What is the value of R when x = 1.9 m?(b) What is the value of R when x = 3.2 m?(c) Determine the minimum value of R and the corresponding value of x.(d) For what value of R should the pin at A be designed?A rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between the wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. Determine the magnitude of the member CD. Is the member in tension or compression? Determine the support reactions at A. Determine the unstretched length of the spring EF given a spring constant of 150 kN/m.The jib crane is designed for a maximum capacity of 14 kN, and its uniform I-beam has a mass of 270 kg. Plot the magnitude R of the force on the pin at A as a function of x through its operating range of x = 0.2 m to x = 4.0 m. On the same set of axes, plot the x- and y-components of the pin reaction at A. Do these plots on a separate piece of paper. Then answer the following questions in Wiley Plus as a check for your work. (You can disregard the plot, I only need a, b, c, and d)