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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

Work

Postings: 455

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

Energy

Postings: 669

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

Power

Postings: 214

Power is the rate at which energy is transferred,

Equilibrium

Postings: 240

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

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

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 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

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

Wavelengths on a String

Problem 21.10 Part A What are the three longest wavelengths for standing waves on a 171- -long string that is fixed at both ends? Enter your answers in descending order separated by commas. ANSWER: , , = Answer not displayed Part B If the frequency of the second-longest wavelength is 59 , what is the fr

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?

Two curling stones - calculate speed, resistive force

Two curling stones A and B, each having a mass of 2 kg, are on an ice rink floor. A is stationary and 10 meters from a boundary wall, while B is sliding at right angles to the boundary wall towards A. Stone B collides with A head-on with a speed of 8.1m/s. After the collision stone A moves towards the wall perpendicular t

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 ?

Example Physics Word Problems

See the attached file. 1. A piece of string wraps around a cylinder 8 times. The length of the string is 14 cm. calculate the circumference of the cylinder. 2. The mass of full bottle of cooking oil is 1.30 kg, when exactly half of the oil has been used; the mass of the bottle plus the remaining oil is 0.90kg.what is the ma

Physics - Classical Mechanics Problem

Please help with the following problem. A 2.50 kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 7.50 kg object, as shown in the figure. Find the magnitude of the acceleration of the two objects and the tension in the string. Show all wor

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

Displacement Problem

Assume that a 2400 ton (1 ton=2000 lbs) battleship with a length and width (approximated as a rectangle) of 110x12 meters is made out of just steel (density of steel=7.86 g/cm^3). If half of the metal of the ship is to be below the surface of the water then (a) how much volume will be available for storage in the ship below wa

Hermitian Operator Matrix

The operator Q is given by the matrix: Q ( 1 i ) (-i -1) a. Determine the matrix corresponding to Q. b. Is Q Hermitian? c. Find the Eigenvalues of Q d. For each eigenvalue in part (c), determine the corresponding eigenvector See attachment for better symbol representation.

The 150-lb ball shown is suspended on a string AB

The 150-lb ball shown is suspended on a string AB and rests again the frictionless vertical wall. The string makes an angle of 30 with the wall. The tension in the string is: a. 173 lb b. 500 lb c. 300 lb d. 600 lb e. none of these Please see attached file for diagram

Meeting in a circle

Two people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 1.3 10-3 rad/s, while the other has an angular speed of 3.3 10-3 rad/s. How long will it be before they meet?

Speed and Distance

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 53 miles per hour?

Classical Mechanics: Lagrange of a simple pendulum.

A pendulum consists of a mass m suspended by a massless spring with unextended length of b and spring constant k. Find Lagrange's equation of motion. Assume that the pendulum is constrained to swing in a single plane.

Classical Mechanics: Fourier Problem.

2. Obtain the Fourier representation of the output of a full-wave rectifier. Plot the first three terms of the expansion and compare with the exact function. Note: when they say the 'output of a full wave rectifier' they mean the function F(t) = [sin (w4*t)] The angular frequency of the unrectified signal is labeled w4. Think

How high will 145 g baseball go?

A good, professional baseball pitcher throws a ball straight up in the air. Estimate how high the 145 g ball will go. (A good throw can reach 90 mph.) Explain your answer.