Online Engineering Mechanics Test - Engineering Mechanics Test - Random
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- Total number of questions: 20.
- Time allotted: 30 minutes.
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Marks : 2/20
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If 
= 20° and 
= 35°, determine the magnitudes of F1 and F2 so that the resultant force has a magnitude of 20 lb and is directed along the positive x axis.
Determine the direction (0° 
180°) of the 30-lb force F so that the moment of F about point A has the maximum magnitude.
= 36.9° = 53.1° = 127.0° = 90.0°
Determine the couple moment. Use a vector analysis and express the result as a Cartesian vector.
The crane provides a long-reach capacity by using the telescopic boom segment DE. The entire boom is supported by a pin at A and by the telescopic hydraulic cylinder BC, which can be considered as a two-force member. The rated load capacity of the crane is measured by a maximum force developed in the hydraulic cylinder. If this maximum force is developed when the boom supports a mass m = 6 Mg and its length is l = 40 and = 60°, determine the greatest mass that can be supported when the boom length is extended to l = 50 m and = 45°. Neglect the weight of the boom and the size of the pulley at E. Assume the crane does not overturn. Note: when = 60° BC is vertical; however, when = 45° this is not the case.
There is a ball and socket connection at A. At point B there is a connection that opposes motion in the x and z directions only. Determine the unknown force components at A and B. Use a scalar analysis.
There is a ball and socket connection at A. At B there is a roller that prevents motion in the —z direction. Corner C is tied to D by a rope. The triangle is weightless. Determine the unknown force components acting at A, B, and C. Use a scalar analysis.
The girl has a mass of 17kg and mass center at Gg, and the tricycle has a mass of 10kg and mass center at Gt. Determine the normal reactions at each wheel for equilibrium.
The jack shown supports a 350-kg automobile engine. Determine the compression in the hydraulic cylinder C and the magnitude of force that pin B exerts on the horizontal member BDE.
The Pratt bridge truss is subjected to the loading shown. Determine the force in members CD, CL and ML, and indicate whether these members are in tension or compression.
Determine the approximate amount of paint needed to cover the surface of the water storage tank. Assume that a liter of paint covers 2.5 m2. Also, what is the total inside volume of the tank.
Determine the inertia of the parabolic area about the x axis.
If the hoist H is moving upward at 6 ft/s, determine the speed at which the motor M must draw in the supporting cable.
When the motorcyclist is at A he increases his speed along the vertical circular parth at the rate of v = (0.3t)ft/s2, where t is in seconds. If he starts from rest when he is at A, determine his velocity and acceleration when he reaches B.
An electric train car, having a mass of 25 Mg, travels up a 10° incline with a constant speed of 80 km/h. Determine the power required to overcome the force of gravity.
During a gust of wind, the blades of the windmill are given an angular acceleration of 
= (0.2 ) rad/s2, where is measured in radians. If initially the blades have an angular velocity of 5 rad/s, determine the speed of point P located at the tip of one of the blades just after the blade has turned two revolutions.
The mechanism is used to convert the constant circular motion of rod AB into translating motion of rod CD. Compute the velocity and acceleration of CD for any angle of AB.
ft/s, aCD = 24 cos2 ft/s2 ft/s, aCD = 1.5 cos2 ft/s2 ft/s, aCD = 0 ft/s, aCD = 0
The automobile with wheels 2.5 ft in diameter is traveling in a straight path at a rate of 60 ft/s. If no slipping occurs, determine the angular velocity of one of the rear wheels and the velocity of the fastest moving point on the wheel.
= 48 rad/s, vmax = 84.9 ft/s = 24 rad/s, vmax = 84.9 ft/s = 48 rad/s, vmax = 120.0 ft/s = 24 rad/s, vmax = 120.0 ft/s
A clown, mounted on stilts, loses his balance and falls backward from the position, where it is assumed the = 0 when = 07deg;. Paralyzed with fear, he remains rigid as he falls. His mass including the stilts is 80 kg, the mass center is at G, and the radius of gyration about G is kG = 1.2 m. Determine the coefficient of friction between his shoes and the ground at A if it is observed that slipping occurs when = 30°.
= 0.833 = 0.468 = 0.243 = 0.400
The spool of cable, originally at rest, has a mass of 200 kg and a radius of gyration of kG = 325 mm. If the spool rests on two small rollers A and B and a constant horizontal force of P = 400 N is applied to the end of the cable, compute the angular velocity of the spool when 8 m of cable has been unraveled. Neglect friction and the mass of the rollers and unraveled cable.
= 10.00 rad/s = 12.31 rad/s = 17.41 rad/s = 40.0 rad/s