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Classical Mechanics

Classical mechanics is one of the two major sub-fields of mechanics. It is concerned with the set of physical laws describing the motion of bodies under the action of a system of courses. It is the study of the motion of bodies. Classical mechanics is one of the oldest and largest subjects in science, engineering and technology.

Classical mechanics describes the motion of macroscopic objects. This can range from projectiles, parts of machinery as well as astronomical objects. Classical mechanics also deals with gases, liquids and solids within its subtopics. Classical mechanics does a very good job at describing the results of large objects; however when objects get small it is necessary to introduce sub fields of mechanics, such as quantum mechanics.
The term classical mechanics was named in the earliest 20th century. It was used to describe the system of physics begun by Isaac Newton and contemporary 17th century natural philosophers. The initial development if classical mechanics is referred to as Newtonian mechanics. The developments of analytical mechanics in the 18th and 19th century were also huge in the creation of quantum mechanics.

Categories within Classical Mechanics


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Work is done on an object when there is a displacement of the point of application.


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Energy is an indirectly observed quantity which can come in many forms.


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Power is the rate at which energy is transferred,


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Equilibrium is when all conditions of a system are balanced.

Miscellaneous Physics Problems

FOR QUESTIONS 1-20 CHOOSE THE RIGHT ANSWER AND CIRCLE THE LETTER CORRESPONDING TO THE ANSWER 1) A slice of bread is squeezed into a little ball, which quantity does not change. A Mass B Volume C Density D Width 2) A boy measured the height of a laboratory table with a metre rule. Which of the

Lagrangian of Three Masses and Two Springs

Three identical masses m are connected to 2 identical springs of stiffness k and equilibrium length b, as shown in the figure above. The masses are free to oscillate in one dimension along an axis that runs through all three. They lie on a level, frictionless, horizontal surface. Introduce coordinates, x1, x2 and x3 to measure t

Variable Refractive Index

Light is passing through a 4 cm thick slab of special doped glass. The index of refraction varies smoothly n=2/sqrt(h) where "h" is the distance from one surface of the slab measured in centimeters. Use Fermat's principle to find the equation for the path of a light ray going from the high index side of the slab to low index sid

Damped Forced Oscillations

A single stage vibration isolation system consists of a heavy granite slab (100 kg) sitting on legs which act as a vertical damped spring. The "Q" (Quality Factor) of the system is 8.0, and the velocity damping coefficient is 80 kg/s. What is the natural frequency of oscillation of the slab? Write down the equation of motion for

Determining a value from a slope

If the mass density of the string is 0.0013 kg/m and measurement of the relevant length of the string is 1.36 m and the slope, k, of the graph is 1,000 s^-2 kg^-1, then what is the measured value for the acceleration due to gravity, g? Include units. The problem and equation are attached as a pdf.

Tilted Rigid Disk Rolling Without Slipping

The figure is attached as file. A rigid body in the shape of a thumbtack formed from a thin disk of mass M and radius a and a mass-less stem is placed on an inclined plane that makes an angle α with the horizontal. The point of the tack remains stationary at the point α, and the head rolls along a circle of radius b. I

Normal modes of a composite string

Consider the normal modes of a vibration under uniform tension of a stretched string consisting of two sections of unequal mass density, so that the wave speed differs from one section to the next. a. What conditions must be satisfied by the string displacement at the junction of the two sections? b. Suppose that the mass de

Binary and decimal system

1. Convert the following decimal numbers to binary a. 81_10 b. 248_10 2. Convert the following octal numbers to binary a. 47_8 b. 214_8 3. Convert the following hexadecimal numbers tobinary a. BA3_16 b. F3B4_16 4. Convert the following binary numbers to decimal numbers

Calculating Static Friction

A box of mass 80 kg is lying on a horizontal floor. The coefficient of static friction between the box and the floor is 0.6. Calculate the minimum force F required to pull it. Take g as 9.8 m.s^2. Refer the diagram. State minimum F in Newton. See attached file for diagram.

Magnification and Distance Calculations

Please see the attached file. SOD is source to object distance and SID is source to image distance. 1. With reference to Fig. 1(a) show that the magnification of an object is given by M = SID/SOD b. With reference to Fig. 1(b) show that the size of the penumbra (blur) f is given by f = Fx (M-1)

Gas Mileage and Milliliter Obtainability

a) If an automobile is able to travel 254 miles on 11.2 gallons of gasoline, what is the gas mileage in km/L? b) A pound of coffee yields 50 cups of coffee (4 cups = 1 qt). How many milliliters of coffee can be obtained from 1 g of coffee beans? Please provide a detailed explanation.

Pressure Variations and Ocean Exploration

How do the pressure variations with depth affect the ability to explore the ocean? How does it affect scuba diving and submarines? If you explain it to me and also if you give me internet site or reference book I would learn more. Thanks for your help.

Classical Mechanics of Displacement

1. Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box. Rank the magnitude of a given particle's average acceleration, from smallest to largest, as interpreted from the following velocity vs. time graphs describing motion. 2. Displacem

Leaning Tower of Pisa Problem

The Leaning Tower of Pisa is 55m tall and about 7m in diameter. The top is 4.5m off-center. How much further can it lean before it becomes unstable?

Mass and Pivot Points Problem

A boy and a girl are balanced on a massless seesaw. The boy has a mass of 75 kg and the girl's mass is 50 kg. If the boy sits 2.0 m from the pivot point on one side of the seesaw, where must the girl sit on the other side?

Problem 3-29

Beverly Mills has decided to lease a hybrid car to save on gasoline expenses and to do her part to help keep the environment clean. The car she selected is available from only one dealer in the local area, but that dealer has several leasing options to accommodate a variety of driving patterns. All the leases are for 3 years and

The Pressure on A2 in PSI

Two pistons push down on the fluid filling two cylinders connected by a narrow hose, as shown in the figure. The area A1 is 1 square inch, and the area A2 is 10 square inches. A force of 4 pounds is exerted downward on piston 1, as shown. Complete the following on the basis of this information. The pressure on A2 in psi is?

Physics: Calculate gauge pressure; tension in the cable

A storage tank of negligable mass and 30 m high is filled with gasoline. a. calculate the gauge pressure and absolute pressure at the bottom of the tank. b. the force that acts on a square access hatch at the bottom of the tank that measures 0.5 x 0.5 m. c. given that the tank is shaped like a right circular cylinder wi

Minimum Deceleration Time of Locomotive

An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees the car, the locomotive is 130 m from the crossing and its speed is 17 m/s. If the engineer's reaction time is 0.36 s, what should be the magnitude of the minimum deceleration to avoid an accid

String tensions for maximum and minimum motion of bungee cord

Traveling waves are set up in a pair of long strings by a simple harmonic oscillator. The strings have identical mass densities of 5.1 grams/meter. Both strings terminate at a short bungee cord attached to a wall. The harmonic oscillator is attached to the other ends of the strings in such a way that one string is 5.4 meters l

Tension and frequency in harmonics

A string of length 7 meters is fixed at both ends. It oscillates in its third harmonic with a frequency of 79 Hz and amplitude .28 cm. If it is held under a tension of 11 Newtons, then what is its mass?

Loading a Horizontal Beam

A horizontal beam of length 8m is supported on rollers at each end, the roller planes being at 60 degrees and 30 degrees respectively to the horizontal (see figure attached). At the centre it rests on a smooth peg. For the loading shown, find all the reactions.

Physics: A Force on a Boat

See attached file for the figure. A boat is towing two water skiers as shown in the figure below. The tow ropes are attached to the boat at A. The tension in AB is 500N and the tension in AC is 420N. Find the resultant force acting of the boat and its direction relative to the centerline of the boat

Bernoulli's Equation: Determining Pressure Change

Use Bernoulli's equation to determine the pressure change as water flows through a full pipe from a point where the pipe diameter is .45 meters and velocity 4.9 m/s to a point 3 meters lower where the pipe diameter is .1485 meters.

cSteel Piano string

The lowest note on a grand piano has a frequency of 27.5 Hz. The string is 2 m (more or less; let's just assume it is exactly 2.000 m) long, and its tension is 1000 N (again, more or less, so let's say it's exactly 1000 N). 1. What must the length density ? (mass per unit length, in units of kg/m or g/m) of the string be