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Simple harmonic motion a type of periodic motion where the restoring force is directly proportional to the displacement.periodic motion Examples: Uniform.

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Presentation on theme: "Simple harmonic motion a type of periodic motion where the restoring force is directly proportional to the displacement.periodic motion Examples: Uniform."— Presentation transcript:

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3 Simple harmonic motion a type of periodic motion where the restoring force is directly proportional to the displacement.periodic motion Examples: Uniform circular motion one-dimensional projection projection An undamped spring–mass systemspring–mass system undergoes simple harmonic motion.

4 Mass on a simple pendulum The motion of an undamped Pendulumapproximates to simple harmonic motion if the amplitude is very small relative to the length of the rod.Pendulum

5 Linear motion (also called rectilinear motion ) is motion along a straight line, and can therefore be described mathematically using only one spatial dimension.motionstraight linedimension Example: types: uniform linear motion, with constant velocity or zero acceleration; non uniform linear motion, with variable velocity or non-zero acceleration. The linear motion system plays a vital role in any linear CNC machine, and CNC routers are no exception. Without these systems coupled with a drive system, a CNC router would be of little use.drive system,

6 Reciprocating motion It is also called reciprocation, is a repetitive up-and-down or back-and-forth motion. It is found in a wide range of mechanisms, including reciprocating engines and pumps.motionreciprocating enginespumps The two opposite motions that comprise a single reciprocation cycle are called strokes.strokes Example: Machine demonstrating conversion of rotary motion to reciprocating motion using gears. The bottom pair of gears drives the mechanism.

7 Brownian motion Brownian motion (named after the botanist Robert Brown) or pedesis (fromGreek: "leaping") is the presumably random drifting of particles suspended in a fluid (a liquid or a gas) or the mathematical model used to describe such random movements, which is often called a particle theory.Robert BrownGreekparticle theory ILLUSTRATION

8 Circular motion A movement of an object along the circumference of a circle or rotation along a circular path or a circular orbit.circumferencecirclerotationcircular pathorbit It can be uniform, that is, with constant angular rate of rotation (and thus constant speed), or non-uniform, that is, with a changing rate of rotation.uniformnon-uniform Rotation around a fixed axis The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts.rotation around a fixed axis An example of rotation. Each part of the worm drive—both the worm and the worm gear—is rotating on its own axis.worm drive

9 Curvilinear motion An object moving in a curved path. Curvilinear motion describes the motion of a moving particle that conforms to a known or fixed curve. The study of such motion involves the use of two such co-ordinate systems with the first being Planar motion and the latter being Cylindrical Motion.curved Example: A stone thrown into the air in an angle.stoneangle Types of Curvilinear motion Planar Motion Cylindrical Components

10 Rotation A rotation is a circular movement of an object around a center (or point) of rotation. A three dimensional object rotates always around an imaginary line called a rotation axis.circularpointthree dimensionalline A polyhedron resembling a sphere rotating around an axis.polyhedron

11 Scalar

12 Some examples of scalars include the mass, charge, or the temperature, or electric potential at a point inside a medium. The distance between two points in three- dimensional space is a scalar, but the direction from one of those points to the other is not, since describing a direction requires two physical quantities such as the angle on the horizontal plane and the angle away from that plane. Force cannot be described using a scalar, since force is composed of direction and magnitude, however, the magnitude of a force alone can be described with a scalar, for instance the gravitational force acting on a particle is not a scalar, but its magnitude is. The speed of an object is a scalar (e.g. 180 km/h), while its velocity is notmasschargetemperatureelectric potentialdistancedirectionForcemagnitudegravitational forcespeedvelocity (i.e. 180 km/h north).

13 Examples of scalar quantities in Newtonian mechanics: electric chargeelectric charge and charge densitycharge density An example of a pseudo scalar is the scalar triple product (see vector), and thus the signed volume. Another example is magnetic charge (as it is mathematically defined, regardless of whether it actually exists physically). triple productvector magnetic charge

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16 1.Using north/south and east/west reference axes, vector "A" is oriented in the NE quadrant with a direction of 45 north of theoEW axis. Giving direction to scalar "A” makes it a vector. The length of "A" is Representative of its magnitude or displacement.

17 1.The two opposite motions that comprise a single reciprocation cycle are called______ 2.repeated motion such as up and down or back and forth 3.Two types of curvilinear motion 4. 5. a circular movement of an object around a centercircular 6.Example of this is A stone thrown into the air in an angle.stoneangle 7.The Greek name of this motion is PEDESIS 8.Who is the botanist that related to the motion of preceding no. (#7) 9.is a simple physical quantity that is not changed by coordinate system rotationsphysical quantity coordinate system 10. also called rectilinear motion


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