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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 (20 marks) 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.

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

Single Stage Vibration Isolation System

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

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

Classical Mechanics

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

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

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

Collision of 2 trains and stopping distances

Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/s2. There is 950m between them. Will they hit each other or will they stop in time?

Child's weight, magnitude of force, maximum angle

A makeshift swing is constructed by making a loop in one end of a rope and tying the other end to a tree limb. A child is sitting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the ro

Speed and direction

Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 4.0 mi/h, the time to go one mile decreases by 12 s. What was your original speed? ....... mi/h ?

Right Triangle Applications - 1. An engineer determined that the angle of elevation from his position to the top of a tower is 52°. he then measured the angle of elevation from a point 50 ft farther away the base of the tower at 32°. both positions are due east of the tower. find the height of the tower. 2. The top of a tree was sighted having an angle of elevation of 38° at a distance of 100 feet from the base of the tree. find the height of the tree.

1. An engineer determined that the angle of elevation from his position to the top of a tower is 52°. he then measured the angle of elevation from a point 50 ft farther away the base of the tower at 32°. both positions are due east of the tower. find the height of the tower. 2. The top of a tree was sighted having an angle

An impulsive force is a large force that acts over a small time.

An impulsive force is a large force and acts over a small time. The following periodic impulsive force f(t) acts on the mass of an oscillator: see attached Which coefficients are zero in the following Fourier representation of f(t), where w=2pi/T? Explain. No calculation are necessary, but accurate and complete statements

Resultant force and direction ...

A mule is pulled by forces 100lb 30 degrees North of West and 120lb 37 degrees south of west. Find the resultant force and direction. with graph solution.

Falling bodies

A plane is traveling at a speed of 250 miles/hr at an altitude of 600 feet. How far before the target must the plane drop an object to insure it hits the target?: a.) 6.12 miles b.) 1.530 miles c.) 0.425 miles d.) 8.35 miles

Simple Harmonic Motion: Equivalent force constant of springs

Two springs with the same unstretched length, but different force constants and are attached to a block with mass on a level, frictionless surface. Calculate the effective force constant in each of the three cases depicted in the figure. a). Express your answer in terms of the variables k1, m, k2 k_eff -c = b) An object