Online Engineering Mechanics Test - Engineering Mechanics Test - Random
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- Total number of questions: 20.
- Time allotted: 30 minutes.
- Each question carries 1 mark; there are no negative marks.
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Marks : 2/20
Test Review : View answers and explanation for this test.
Express force F as a Cartesian vector; then determine its direction angles.
= 48.2°, 
= 70.5°, 
= 48.2° = 131.8°, = 70.5°, = 48.2° = 48.2°, = 70.5°, = 48.2° = 131.8°, = 70.5°, = 48.2°
Express the Force F2 in Cartesian vector form.
Determine the moment of the force at A about point P. Use a vector analysis and express the result in Cartesian vector form.
Three parallel forces act on the rim of the tube. If it is required that the resultant force FR of the system have a line of action that coincides with the central z axis, determine the magnitude of FC and its location 
on the rim. What is the magnitude of the resultant force FR?
= 56.3°, R = 861 lb = 54.0°, R = 1000 lb = 36.0°, R = 1000 lb = 36.9°, R = 861 lb
The bricks on top of the beam and the supports at the bottom create the distributed loading shown in the second figure. Determine the required intensity w and dimension d of the right support so that the resultant force and couple moment about point A of the system are both zero.
Determine the tension in the supporting cables BC and BD and the components of reaction at the ball-and-socket joint A of the boom. The boom supports a drum having a weight of 200 lb. at F. Points C and D lie in the x—y plane.
Determine the force in each member of the truss and indicate whether the members are in tension or compression.
Compute the force in each member of the Warren truss and indicate whether the members are in tension or compression. All the members are 3 m long.
Determine the force in members GF, CF, CD of the symmetric roof truss and indicate whether the members are in tension or compression.
A sign is subjected to a wind loading that exerts horizontal forces of 300 lb on joints B and C of one of the side supporting trusses. Determine the force in members BC, CD, DB, and DE of the truss and state whether the members are in tension or compression.
Locate the center of gravity of the homogeneous "bell-shaped" volume formed by revolving the shaded area about the y axis.
= 3.33 ft = 2.80 ft = 3.20 ft = 3.00 ft
A two-stage missile is fired vertically from rest with an acceleration as shown in the graph. In 15 s the first stage A burns out and the second stage B ignites. How fast is the rocket moving and how far has it gone at t = 20 s? How fast is the missile moving and how far has it gone at t = 20 s?
A tobbogan and rider have a total mass of 100 kg and travel down along the (smooth) slope defined by the equation y = 0.2x2. At the instant x = 8 m, the toboggan's speed is 4 m/s. At this point, determine the rate of increase in speed and the normal force which the toboggan exerts on the slope. Neglect the size of the toboggan and rider for the calculation.
A car, assumed to be rigid and having a mass of 800 kg, strikes a barrel-barrier installation without the driver applying the brakes. From experiments, the magnitude of the force of resistance Fr, created by deforming the barrels successively, is shown as a function of vehicle penetration. If the car strikes the barrier traveling at Vc = 70 km/h, determine approximately the distance s to which the car penetrates the barrier.
The drop hammer H has a weight of 900 lb and falls from rest. H has a weight of 900 lb and falls from rest h = 3 ft onto a forged anvil plate P that has a weight of 500 lb. The plate is mounted on a set of springs which have a combined stiffness of kT = 500 lb/ft. Determine (a) the velocity of P and H just after collision and (b) the maximum compression in the springs caused by the impact. The coefficient of restitution between the hammer and the plate is e = 0.6. Neglect friction along the vertical guide posts A and B.
The pulley os pin-connected to block B at A. As cord CF unwinds from the inner hub with the motion shown, cord DE unwinds from the outer rim. Determine the angular acceleration of the pulley at the instant shown.
= 80.0 rad/s2 = 160.0 rad/s2 = 180.0 rad/s2 = 53.3 rad/s2
A chain that has a negligible mass is draped over a sprocket which has a mass of 2 kg and a radius of gyration of kO = 50 mm. If the 4-kg block A is released from rest in the position shown, s = 1 m, determine the angular velocity which the chain imparts th the sprocket when s = 2 m.
= 44.3 rad/s = 39.6 rad/s = 41.8 rad/s = 59.1 rad/s
The 12-kg disk has an angular velocity of = 20 rad/s. If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of friction at B is 
= 0.4.
The uniform rod AB has a weight of 3 lb and is released from rest without rotating from the position shown. As it falls, the end A strikes a hook S, which provides a permanent connection. Determine the speed at which the other end B strikes the wall at C.
A constant torque or twist of M = 0.4N • m is applied to the center gear A. If the system starts from rest, determine the angular velocity of each of the three (equal) smaller gears in 3 s. The smaller gears (B) are pinned at their centers, and the mass and centroidal radii of gyration of the gears are given in the figure.
B = 1975 rad/sB = 5830 rad/sB = 1520 rad/sB = 1022 rad/s