Engineering Answers

A conical vessel full of water is 16 feet across the top and 12 feet deep. Find the work required to pump all the water to a point 2 feet above the top of the vessel.

A spring has a natural length of 0.2 meters. If a 25-N force is required to keep it stretched to a length of 0.3 meters. How much work is done in stretching it from 0.2 m to 0.25 m?

A conical vessel 12 cm deep and with a radius of 6 cm at the top, is being filled with water. If the rate at which the water rises is 2 cm/sec, how fast is the volume increasing when the water is 4 cm deep?

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Q: An overhang beam ABCD is simply supported at A and C. The beam carries a uniformly distributed load of 4kNm^-1 over the entire span, a concentrated load of 40kN at B and a concentrated load of 20kN at D, as shown in the Figure. The reaction forces at A and C are 22 kN and 86 kN respectively. The bending moment equation for section AB, is ….  

Evaluate the integral cos⁷3x dx with the limits from 0 to π/6.

what is the area bounded by the curves y=8-x^2.

Find the area bounded by the x-axis, the line x=4, and the parabola y²=4x.

a crank and slotted lever quick return motion mechanism, the distance between the fixed centers is 370 mm and the length of the driving crank is 150 mm.Find the inclination of the slotted bar with the vertical in the extreme position and the time ratio of cutting stroke to the return stroke. If the length of the slotted bar is 450 mm,crank angle of 45°from inner dead centre position.