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Questions on basic mechanics

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1) Two spherical bodies have masses of 60 and 80 kg, respectively. Determine the force of gravity acting between them if the distance from center to center of the bodies is 500 mm.
A) 5.34(10**-7) N
B) 0.890(10**-6) N
C) 0.890(10**-6) kN
D) 1.123(10**6) N

2) How many barrels of oil are contained in 100 kL of oil? One barrel (petroleum) equals 42.0 gal.
A) 0.629 barrel
B) 467 barrel
C) 629 barrel
D) 2380 barrel

3) Round off the number 349.3378 to four significant figures. Find the percentage difference between the rounded-off number and the original number by using the original number as the reference.
A) -0.00011%
B) -0.097%
C) -0.011 %
D) 0.190 %

4) Determine the magnitude of the resultant R of the two forces shown in the following figure.

A) 15.0 kN
B) 21.8 kN
C) 31.2 kN
D) 35.0 kN

5) Determine the angle, theta, between the x-axis and the line of action of the resultant for the two forces shown in the figure.

A) 19.9 deg
B) 43.9 deg
C) 53.2 deg
D) 110. deg

6) Two forces are applied at a point on a body as shown in the following figure. Determine the x-component of force F2.

A) - 514 N
B) 342 N
C) 940 N
D) 1000 N

7) Two forces are applied at a point on a body as shown in the figure. Determine the y-component of F2.

A) 342 N
B) 613 N
C) 800 N
D) 940 N

8) Two flexible cables A and B are used to support a 220-lb traffic light as shown in the following figure. Determine the tension in cable A.

A) 131 lb
B) 282 lb
C) 292 lb
D) 643 lb

9) Two flexible cables A and B are used to support a 220-lb traffic light as shown in the figure. Determine the tension in cable B.

A) 131 lb
B) 282 lb
C) 292 lb
D) 643 lb

10) Two strips of a plastic material are bonded together as shown in the figure. The average shearing stress in the glue must be limited to 950 kPa. What length L of splice plate is needed if the axial load carried by the joint is 50 kN?

A) 175 mm
B) 350 mm
C) 700 mm
D) 1400 mm

11) A structural steel bar with a 20- x 25-mm rectangular cross section is subjected to an axial tensile load of 55 kN. Determine the maximum normal stress in the bar.
A) 55 MPa
B) 88 MPa
C) 110 MPa
D) 145 MPa

12) A structural steel bar with a 20- x 25-mm rectangular cross section is subjected to an axial tensile load of 55 kN. Determine the maximum shear stress in the bar.
A) 55 MPa
B) 88 MPa
C) 110 MPa
D) 145 MPa

13) Mutually perpendicular axes in an unstressed member were found to be oriented at 89.92 deg when the member was stressed. Determine the shearing strain associated with these axes in the stressed member.