Applied mechanics and graphic statics

1. A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 1 kg-m2 and its rate of rotation 2 rev/sec. The angular momentum of the body in kg-m2/sec is A. 1.257 B. 12.57 C. 13.57 D. 1.357

1.257
12.57
13.57
1.357

Detailed SolutionA symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 1 kg-m2 and its rate of rotation 2 rev/sec. The angular momentum of the body in kg-m2/sec is A. 1.257 B. 12.57 C. 13.57 D. 1.357

4. The velocity ratio of the differential wheel and axle is A. $$\frac{{\text{R}}}{{{{\text{r}}_1} – {{\text{r}}_2}}}$$ B. $$\frac{{2{\text{R}}}}{{{{\text{r}}_1}}}$$ C. $$\frac{{3{\text{R}}}}{{{{\text{r}}_1} – {{\text{r}}_2}}}$$ D. $$\frac{{2{\text{R}}}}{{{{\text{r}}_1} + {{\text{r}}_2}}}$$

$$rac{{ ext{R}}}{{{{ ext{r}}_1} - {{ ext{r}}_2}}}$$
$$rac{{2{ ext{R}}}}{{{{ ext{r}}_1}}}$$
$$rac{{3{ ext{R}}}}{{{{ ext{r}}_1} - {{ ext{r}}_2}}}$$
$$rac{{2{ ext{R}}}}{{{{ ext{r}}_1} + {{ ext{r}}_2}}}$$

Detailed SolutionThe velocity ratio of the differential wheel and axle is A. $$\frac{{\text{R}}}{{{{\text{r}}_1} – {{\text{r}}_2}}}$$ B. $$\frac{{2{\text{R}}}}{{{{\text{r}}_1}}}$$ C. $$\frac{{3{\text{R}}}}{{{{\text{r}}_1} – {{\text{r}}_2}}}$$ D. $$\frac{{2{\text{R}}}}{{{{\text{r}}_1} + {{\text{r}}_2}}}$$

5. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is A. $$\frac{2}{3}$$ B. $$\frac{1}{5}$$ C. $$\frac{3}{5}$$ D. $$\frac{1}{3}$$

$$rac{2}{3}$$
$$rac{1}{5}$$
$$rac{3}{5}$$
$$rac{1}{3}$$

Detailed SolutionTwo balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is A. $$\frac{2}{3}$$ B. $$\frac{1}{5}$$ C. $$\frac{3}{5}$$ D. $$\frac{1}{3}$$

6. A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about A. 7000 km per hour B. 8000 km per hour C. 9000 km per hour D. 11,000 km per hour

7000 km per hour
8000 km per hour
9000 km per hour
11,000 km per hour

Detailed SolutionA satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about A. 7000 km per hour B. 8000 km per hour C. 9000 km per hour D. 11,000 km per hour

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