Free Printable Applied Mechanics 01

1.

Which topic is related to static mechanics? [multiple answers]

a)

Composite

b)

Building construction

c)

Flow speed

d)

Wing structure

2.

How many significant digits are there in the number 10.001?

(a)

3.

Which are correct answers to 1.0 + 1 with the significant figures? [multiple answers]

a)

$2$

b)

$2\times10^0$

c)

2.0

4.

What is the area of a circle when the radius r=1.0?

a)

3

b)

3.1

c)

3.14

d)

3.14159265359

5.

What is the force due to gravity on earth if g=9.81m/s2 and m=10

a)

98.1

b)

98

c)

100

d)

100.0

6.

The magnitude of a force

\overline{F}

is

a)

$F_x^2\cdot F_y^2$

b)

$\sqrt{F_x^2\ +\ F_y^2}$

c)

$\overline{F_x^{ }}+\overline{F_y^{ }}$

7.

The angle $\theta$ of position vector $\overline{r}\$ from the x axis is:

a)

$\theta=45^o$

b)

$\theta=\tan^{-1}\left(\frac{r_x}{r_y}\right)$

c)

$\theta=\sin^{-1}\left(\frac{r_x}{r_y}\right)$

d)

$\theta=\tan^{-1}\left(\frac{r_y}{r_x}\right)$

8.

If F = 10 i + 10 j + 10 k and

G = 20 i + 20 j + 20 k , then F + G = ____

a)

10 i + 10 j + 10 k

b)

30 i + 20 j + 30 k

c)

– 10 i – 10 j – 10 k

d)

30 i + 30 j + 30 k

9.

What is not true about an unit vector, e.g., u?

a)

It is dimensionless.

b)

Its magnitude is one.

c)

It always points in the direction of positive X-axis.

d)

It always points in the direction of vector A.

10.

F is 80 and is 120deg from the positive vertical y-axis. Resolve F along x and y axes and write it in vector form. F = ___________

a)

80 cos (30°) i – 80 sin (30°) j

b)

80 sin (30°) i + 80 cos (30°) j

c)

80 sin (30°) i – 80 cos (30°) j

d)

80 cos (30°) i + 80 sin (30°) j

11.

Determine the magnitude of the resultant (F1 + F2) force in N when F1 = 10 i + 20 j and F2 = 20 i + 20 j .

a)

30

b)

40

c)

50

d)

60

e)

70

12.

P and Q are two points in a 3-D space. How are the position vectors $\overline{r}_{PQ}$ and $\overline{r}_{QP}$ related?

a)

$\overline{r}_{PQ}=\overline{r}_{QP}$

b)

$\overline{r}_{PQ}=-\overline{r}_{QP}$

c)

$\overline{r}_{PQ}=\frac{1}{\overline{r}_{QP}}_{ }$

d)

$\overline{r}_{PQ}=2\overline{r}_{QP}$

13.

If F and r are force and position vectors, respectively, in SI units, what are the units of the expression (r * (F / F)) ?

a)

Newton

b)

Meter

c)

Mewton

d)

Newton-meter

14.

The dot product can be used to find all of the following except ____ .

a)

sum of two vectors

b)

angle between two vectors

c)

component of a vector parallel to another line

d)

component of a vector perpendicular to another line

15.

Find the dot product of the two vectors P and Q

P = 5 i + 2 j + 3 k

Q = -2 i + 5 j + 4 k

a)

-12

b)

12

c)

21

d)

10

16.

If a force vector F is 45deg from the x axis, then [multiple answers]

a)

Fx $\ne$ Fy

b)

If Fx=1, then

\left|\overline{F}\right|=1.4

c)

Fy/Fx = tan 45deg

d)

Fx = Fy

Applied Mechanics 01

Total questions: 16

Worksheet time: 12mins

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