Mechanics: Statics, Dynamics, and Motion Analysis

Statics and Dynamics

Statics is the area of mechanics that studies bodies at rest or in equilibrium as a result of forces acting on them. Dynamics is the area of mechanics that studies bodies in motion.

Kinematics and Kinetics

Kinematics is the study of the relationships between the displacements, velocities, and accelerations in translational or rotational motion. Kinetics studies bodies in motion and the forces acting to produce them.

Force

A force is a push or pull on a body. To produce a force, one

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Electrostatics Problems: Charges, Forces, and Fields

Iron atoms have been detected in the sun’s outer atmosphere, some with many of their electrons stripped away. What is the net electric charge (in coulombs) of an iron atom with 26 protons and 7 electrons? Be sure to include the algebraic sign (+ or -) in your answer.
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Four identical metallic objects carry the following charges: +1.6, +6.2, -4.8, and -9.4 micro Coulombs. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final

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Magnetic Fields and Forces: Key Concepts and Applications

Magnetic Force on a Moving Charge

The magnitude of the force is proportional to the value of the load and the magnitude of the velocity with which it moves. The direction of the force depends on the direction of that velocity.

Helical Path

If the charged particle has a velocity component parallel to the magnetic field and one perpendicular, it follows a helical path.

Conductor Inside a Magnetic Field

The magnetic field interacts with each of the charged particles whose motion produces the current. The

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Fundamental Laws of Physics: Units 1-3

Unit 1: Newton’s Laws of Motion

Newton’s First Law (Law of Inertia)

An object in motion stays in motion unless acted upon by an unbalanced outside force. For example, a ball sitting on a table will not move until someone hits it.

  • Distance: Total movement.
  • Displacement: Direct line movement (change in position).

Newton’s Second Law

F = ma (Force equals mass times acceleration). A wooden ball moves faster in space than a brass ball.

Newton’s Third Law

For every action, there is an equal but opposite reaction.

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Optical Instruments and Phenomena: A Comprehensive Study

Periscope

Periscopes use isosceles rectangular glass prisms with a critical angle of approximately 43 degrees. The light inside the glass normally follows the path shown in the accompanying figure.

Pinhole Cameras

The simplest optical device is a pinhole camera, which is a closed box with a hole in one wall. It always produces real and inverted images, and its gain is given by A = y’ / s’.

Microscope

A microscope is used to see a greatly magnified image of a very small object at a short distance. It

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Key Equations and Concepts in Physics

Angular Motion

Equations of angular motion are relevant wherever you have rotational motions around an axis. When the object has rotated through an angle of θ with an angular velocity of ω and an angular acceleration of α, then you can use these equations to tie these values together.

You must use radians to measure the angle. Also, if you know that the distance from the axis is r, then you can work out the linear distance traveled, s, velocity, v, centripetal acceleration, ac, and force, Fc. When

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