40 What is a cylinder?

41

66 the axis or altitude of a cylinder? 42 How do you find the convex surface of a cylinder?

43 What is the convex surface of a cylinder, the diameter of whose base is 40 ft., and altitude 50 ft.? Art. 348, Ex. 4.

44 How do you find the contents of a cylinder? 45 What are the contents of a cylinder, the diameter of whose base is 32 and altitude 12? 349, Ex. 4.

46 What is a pyramid ?

Art.

48 How do you find the contents of a pyramid? 49 What are the contents of a pyramid, the area of whose base is 540 and altitude 32? Art 351, Ex. 5.

53 How do you find the contents of a cone? 54 What are the contents of a cone, whose altitude is 27 ft., and the diameter of the base 20 ft.? Art. 353, Ex. 4.

GAUGING.

1 What is cask gauging?

2 Into how many varieties are casks divided? 3 How do you find the mean diameter?

4

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contents in cubic ins.?

contents in wine gals.?

6 How do you find the contents in beer gals.? 7 In a cask whose bung diameter is 36 inches, head diameter 30 inches, and length 50 inches, how many nine gallons? How many beer gallons? Art. 357, Ex. 1.

MECHANICAL POWERS.

1 How many simple machines are there? Name them?

2 What things must be considered in order to understand the power of a machine? P. 336.

3 When is a machine said to be in equilibrium? 4 What is a lever?

5 How many kinds of levers are there? Describe them.

6 When is an equilibrium produced in all levers?

7 What is the proportion between the weight and power?

8 In a lever of the first kind will the weight increase or diminish the power?

9 How will it be in the two other kinds?

10 In a lever of the first kind, what power will be necessary to balance a weight of 40 lbs.? Art. 362, Ex. 1.

11 What is a pulley?

12 How many kinds of pulleys are there?

13 Does a fixed pulley give any increase of power?

14 Does a movable pulley give any mechanical advantage?

15 In a single movable pulley, how much less is the power than the weight?

16 Will an advantage be gained by several movable pulleys?

17 State the general principle in machines? 18 What does the actual loss of power arise from?

19 Does this vary in different machines? 20 In the movable pulley, what proportion exists between the cord and the weight?

21 Of what is the machine, called the wheel and axle, composed?

22 How is the axle supported?

23 What is the proportion between the power and weight?

24 In a single immovable pulley, what power will support a weight of 60 lbs.? Art. 368, Ex. 1.

25 What must be the diameter of an axle, that a power of 100 lbs. applied at the circumference of a wheel of 6 ft. diameter, may balance 400 lbs.? Art. 369, Ex. 2.

26 What is an inclined plane?

27 What proportion exists between the power and weight when they are in equilibrium?

28 The hight of a plane is 15 ft. and length 45 ft.: what power will sustain a weight of 180 lbs.? Art. 380, Ex. 3.

29 What is the wedge?

30

31

used for?

"resistance is it used to overcome?

32 If the head of a wedge is 6 inches thick, the

length of the side 27 inches, and the force applied be measured by 250 pounds, what will be the measure of the effect? Art. 380, Ex. 2.

33 Of how many parts is the screw composed? 34 What is the handle used for?

35 To what use is the screw applied?

36 What is the power of the screw?

37 If the threads of the screw are of an inch apart, and the handle is 12 feet long, what power must be applied to sustain 2 tons? Art. 381, Ex. 2.

QUESTIONS IN NATURAL PHILOSOPHY.

1 What is a uniform motion?

2

66

P. 374.

the velocity of a moving body? 3 In uniform motion, what is the space passed over equal to ?

4 A carriage performs a journey of 15 miles in 2 hours; with what velocity does it move?

5 If a body falls vertically in a vacuum, how far will it fall the first second? The second second? Third?

6 What is the common difference of the spaces?

7 What is the measure of the force of gravity? 8 How does the velocity of a falling body change?

9 What is the velocity acquired at the end of any time equal to ?

10 What is the space fallen through equal to? 11 How far will a body, projected upwards, ascend?

12 Are the above laws perfectly or only approximately true?

13 A rocket is projected vertically upward with a velocity of 386 ft.: after what time will it begin to fall, and to what height will it rise?

14 What is the specific gravity of a body? standard for measuring the spe

15

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cific gravity of a body?

16 What is the numerical value of the cubic foot of a body?

17 A piece of copper weighs 93 grains in air, and 82 grains in water: what is its specific gravity? Art. 389, Ex. 1.

18 To what is the volume of a vapor or gas proportional?

19 To what is the density of a vapor or gas proportional?

20 Under a pressure of 15 lbs. to the square inch, a certain quantity of gas occupies a volume of 20 quarts: what pressure must be applied to reduce it to 8 quarts? Art. 390, Ex. 2.