For the pin at C, it’s considered as failure when shear stress reaches (400+x) ksi. Calculate the diameter of the pin if safety factor is 3.  Please type the pin diameter in the box below. 

Force F = (1+x) kN is applied at A. The cross section of bar AB is circular with radius 10 mm. If a horizontal plane (indicated in red) passing through D, calculate the normal stress and shear stress on this plane.  Please type the allowable shear stress in the box below.

What I can do to make it easier for you to learn the material in this course? Anything you want me to change or anything you like that you want to make sure I don’t change.  Please write down your answer on the paper you will submit. No need to type anything in the box. 

In which one of the following situations is linear momentum not conserved?

A solid sphere of radius R rotates about a diameter with an angular speed w. The sphere then collapses under the action of internal forces to a final radius R/2. What is the final angular speed of the sphere?

The initial velocity of a 4.0-kg box is 11 m/s, due west. After the box slides 4 m horizontally, its speed is 1.5 m/s. Determine the magnitude and the direction of the non-conservative force acting on the box as it slides.

Holly puts a box into the trunk of her car. Later, she drives around an unbanked curve that has a radius of 48 m. The speed of the car on the curve is 16 m/s, but the box remains stationary relative to the floor of the trunk. Determine the minimum coefficient of static friction for the box on the floor of the trunk.  

Water is flowing through a pipeline at the speed of 5 m/s when it encounters a vertical bend in the pipe raising it by 4.0 m. After the rise, the speed of flow reduces to 4 m/s. The cross-sectional area of the pipe does not change. What is the difference in pressure (PB – PA) in the portions of the pipe before and after the rise?  

A rock weighs 30 N in air and 25 N when completely submerged in a fluid with a density of 750 kg/m3.   Determine the density of the rock.

In a well-insulated container, 4.0 kg of water and 3.0 kg of ice are in thermal equilibrium at 0 °C. How much heat is required to bring the system to thermal equilibrium at 45 °C?