Applied mechanics and graphic statics

1. M.I. of solid sphere, is A. $$\frac{2}{3}{\text{M}}{{\text{r}}^2}$$ B. $$\frac{2}{5}{\text{M}}{{\text{r}}^2}$$ C. $${\text{M}}{{\text{r}}^2}$$ D. $$\frac{1}{2}{\text{M}}{{\text{r}}^2}$$

$$rac{2}{3}{ ext{M}}{{ ext{r}}^2}$$
$$rac{2}{5}{ ext{M}}{{ ext{r}}^2}$$
$${ ext{M}}{{ ext{r}}^2}$$
$$rac{1}{2}{ ext{M}}{{ ext{r}}^2}$$

Detailed SolutionM.I. of solid sphere, is A. $$\frac{2}{3}{\text{M}}{{\text{r}}^2}$$ B. $$\frac{2}{5}{\text{M}}{{\text{r}}^2}$$ C. $${\text{M}}{{\text{r}}^2}$$ D. $$\frac{1}{2}{\text{M}}{{\text{r}}^2}$$

3. The motion of a particle is described by the relation x = t2 – 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be A. Zero B. 30 m C. 50 m D. 60 m

Zero
30 m
50 m
60 m

Detailed SolutionThe motion of a particle is described by the relation x = t2 – 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be A. Zero B. 30 m C. 50 m D. 60 m

5. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are A. Straight line and parabola B. Straight line and circle C. Circle and straight line D. Circle and parabola

Straight line and parabola
Straight line and circle
Circle and straight line
Circle and parabola

Detailed SolutionWhen a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are A. Straight line and parabola B. Straight line and circle C. Circle and straight line D. Circle and parabola

6. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN

1346.3 kN and 1500 kN
1436.2 kN and 1250 kN
1346.3 kN and 1250 kN
1436.2 kN and 1500 kN

Detailed SolutionA cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN

7. The angles between two forces to make their resultant a minimum and a maximum respectively are A. 0° and 90° B. 180° and 90° C. 90° and 180° D. 180° and 0°

0° and 90°
180° and 90°
90° and 180°
180° and 0°

Detailed SolutionThe angles between two forces to make their resultant a minimum and a maximum respectively are A. 0° and 90° B. 180° and 90° C. 90° and 180° D. 180° and 0°

8. From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm

0.25 cm
0.50 cm
0.75 cm
1.00 cm

Detailed SolutionFrom the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm

10. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be A. Less than that on BC B. More than that of BC C. Equal to that on BC D. None of these

Less than that on BC
More than that of BC
Equal to that on BC
None of these

Detailed SolutionA sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be A. Less than that on BC B. More than that of BC C. Equal to that on BC D. None of these

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