Online Engineering Mechanics Test - Engineering Mechanics Test 7
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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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- All the best!
Marks : 2/20
Test Review : View answers and explanation for this test.
Using the basic trigonomic functions, determine the length of side AB of the right triangle.
Determine the magnitude of the resultant force by adding the rectangular components of the three forces.
Determine the magnitude and direction 
of the resultant force FAB exerted along link AB by the tractive apparatus shown. The suspended mass is 10 kg. Neglect the size of the pulley at A.
= 75.0° = 15.0° = 75.0° = 15.0°
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°
The man at B exerts a force of 140N on the rope attached to the end of beam AC as shown. Determine the moment of this force about the base of the beam at A.
A twist of 4 N-m is applied to the handle of the screwdriver. Resolve this couple moment into a pair of couple forces F exerted on the handle.
Express the moment of the couple acting on the pipe on Cartesian vector form. What is the magnitude of the couple moment?
The distributed loadings of soil pressure on the sides and bottom of a spread footing are shown. Simplify this system to a single resultant force and couple moment acting at A. What is the resultant force F and the couple moment M?
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.
Determine the force in each member of the truss and indicate whether the members are in tension or compression.
Determine the horizontal and vertical components of force at pins A and C of the two-member frame.
Determine the horizontal and vertical components of force at pin A.
A force of 500 N acts at the top of the two-member frame. If the members are in smooth contact with one another at A, B, and C with no fasteners, determine the shear force developed at a horizontal section through point D of the support. Also, what are the axial force, shear force and moment at point E?
A uniform beam has a mass of 18 kg and rests on two surfaces at points A and B. Determine the maximum distance x to which the girl can slowly walk up the beam before it begins to slip. The girl has a mass of 50 kg and walks up the beam with a constant velocity.
A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 150 ft/s at a height h = 1500 ft. Determine the radius of curvature of the path of the package just before it is released from plane at A.
A = 9860 ftA = 3000 ftA = 1500 ftA = 8510 ft
A rifle has a mass of 2.5 kg. If it is loosely gripped and a 1.5-g bullet is fired from it with a muzzle velocity of 1400 m/s, determine the recoil velocity of the rifle just after firing.
As the cord unravels from the wheel's inner hub, the wheel is rotating at 
= 2 rad/s at the instant shown. Determine the magnitudes of the velocities of point A and B.
The disk rolls without slipping such that it has an angular acceleration of 
= 4 rad/s2 and angular velocity of = 2 rad/s at the instant shown. Determine the accelerations of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.
Gear C is rotating with a constant angular velocity of c = 3 rad/s. Determine the acceleration of the piston A and the angular acceleration of rod AB at the instant = 90°. Set rc = 0.2 ft and rd = 0.3 ft.
