Mechanical and Materials Engineering Homework Solutions

Proving trigonometry identities.

Prove 1-sinx/1+sinx=sec^2x-2secxtanx + tan^x

Mechanism of operation of hydraulic chairs

I need some information as to the mechanism of the working of chairs using hydraulic lifts to raise or lower them.

7 point hinge system (not a parallelogram)

My problem exists with a hinge system I am trying to devise for a design I am currently working on as part of my final year studying. The problem is with a 7 point hinge system that folds around an origin point. Using parallelograms the hinge system works perfectly, but to open the hinges above approx. 90 degrees causes the pi ...continues

questions using multipal choic answers on mechanics

a steel block has a volume of 0.08m3 and a density of 7,840 kg/m3, what is the force fo gravity acting on the block (the weight) in water? A.5362.56N b.6150.64N c.6700.56N or d.7600.18N ?

multipal choice question on mechanics

a car with a mass of 2,000. kilograms is moving around a circular curve at a uniform velocity of 25 meters per second. the curve has a radius of 80 meters. what is the centripetal force on the car? a. 625 N B. 703N c. 15,625 N or d. 20,250 N?

multipal choice question on mechanics

a machine is supplied energy at a rate of 4,000 W and does useful work at a rate of 3,760 W. what is the efficiency of the machine? a. 92 percent b. 94 percent c. 96 percent d. 97 percent?

Radius of a Curve

A car with a mass of 1,200 kilograms is moving around a circular curve at a uniform velocity of 20 meters per second, the centripetal force on the car is 6,000 newtons. What is radius of the curve? a. 160 meters b. 80 meters c. 32 meters or d. 16 meters?

question on machanics

what force is required to accelerate a body with a mass of 15 kilograms at a rate 8/S2 ( the 2 is small obove the s) aswers a. 1.875 kg b. 23 kg c. 23N or d. 120N?

Beam deflection and Stress at centroid?

Sometimes the term centroid throws me for a loop. So, how would I set this problem up? I'm asked to determine the deflection of the tip of a beam and max direct stress and location for a 2000N load. Given load=2000N, on the tip of a 1m beam. Beam dimensions are H=80mm B=W=40mm and t=thickness of 1.5mm.

Beam deflection at corner through centroid?

Sometimes the term centroid throws me for a loop. So, how would I set this problem up? I'm asked to determine the deflection of the tip of a beam for a 2000N load. The section is rotated 15 degrees. The load application point is through the centroid of section. Another way to describe the picture is that the beam is cocke ...continues

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