EC Training Part 1

A 20-meter bar with a square cross-section of 10 mm square is subjected to a tensile force without exceeding its ultimate stress. If the bar is to be replaced by a cylindrical one, what should the diameter be? Express your answer in three (3) decimal places.

A 30 mm diameter nozzle discharges 30 L/s of horizontal water jet on a vertical wall. Find the force exerted by the jet on the wall.

Consider the forces below:

F₁ = <-60, 40, 20> lb

F₂ = <80, 40, -30> lb

If F₁ and F₂ are acting through the points A (0, 5, 0) and B (4, 5, -2), determine the resultant moment they create at the origin. Assume all distances are in feet.

Multiple Choice:

A mass of 5 kg is tied to a string of length 1.0 m and rotated in a vertical circle with a uniform speed of 4 m/s. The tension in the string will be 130 N when the mass is at _____.

A. midway
B. highest point
C. bottom
D. cannot be justified

The weight density of mud is given by ω = 6h + h², where ω is in kN/m3 and h is in meters. At what depth will the pressure be 255 kPa?

At a temperature of 25°C, a 15-meter rod, 8 mm in diameter, is subjected to a tensile load of 25 kN. At what temperature, without the load, will the bar have the same elongation? Use α = 12 x 10^-6 per degree C and E = 195 GPa. Express your answer to the nearest whole number.

Determine the second moment of the shaded area shown in the figure with respect to the y-axis.

A tank has a volume of 0.5 m^3 and contains 10 kg of an ideal gas having a molecular weight of 24 g/mol. The temperature is 25°C. What is the pressure in kPa? Express your answer up to 2-decimal places.

Find the internal force acting on section (1) for the eyebolt shown.

Determine the order and degree of the given differential equation: