Examples of motion in the following topics:
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- Kinematics is the study of the motion of points, objects, and groups of objects without considering the causes of its motion.
- Kinematics is the branch of classical mechanics that describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion (i.e., forces).
- The study of kinematics is often referred to as the "geometry of motion."
- Objects are in motion all around us.
- The word "kinematics" comes from a Greek word "kinesis" meaning motion, and is related to other English words such as "cinema" (movies) and "kinesiology" (the study of human motion).
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- Uniform circular motion describes the motion of an object along a circle or a circular arc at constant speed.
- It is the basic form of rotational motion in the same way that uniform linear motion is the basic form of translational motion.
- However, the two types of motion are different with respect to the force required to maintain the motion.
- Let us consider Newton's first law of motion.
- Therefore, uniform linear motion indicates the absence of a net external force.
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- Non-uniform circular motion denotes a change in the speed of a particle moving along a circular path.
- What do we mean by non-uniform circular motion?
- The answer lies in the definition of uniform circular motion, which is a circular motion with constant speed.
- The circular motion adjusts its radius in response to changes in speed.
- In non-uniform circular motion, the magnitude of the angular velocity changes over time.
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- Analyzing two-dimensional projectile motion is done by breaking it into two motions: along the horizontal and vertical axes.
- Projectile motion is the motion of an object thrown, or projected, into the air, subject only to the force of gravity.
- The motion of falling objects is a simple one-dimensional type of projectile motion in which there is no horizontal movement.
- The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.
- We analyze two-dimensional projectile motion by breaking it into two independent one-dimensional motions along the vertical and horizontal axes.
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- A motion diagram is a pictorial description of an object's motion and represents the position of an object at equally spaced time intervals.
- A motion diagram is a pictorial description of the motion of an object.
- For this reason, a motion diagram is more information than a path diagram.
- is a motion diagram of a simple trajectory.
- Motion diagram of a puck sliding on ice.
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- Simple harmonic motion is produced by the projection of uniform circular motion onto one of the axes in the x-y plane.
- Uniform circular motion describes the motion of a body traversing a circular path at constant speed.
- There is an easy way to produce simple harmonic motion by using uniform circular motion.
- The next figure shows the basic relationship between uniform circular motion and simple harmonic motion.
- Describe relationship between the simple harmonic motion and uniform circular motion
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- A a motional EMF is an electromotive force (EMF) induced by motion relative to a magnetic field B.
- An electromotive force (EMF) induced by motion relative to a magnetic field B is called a motional EMF.
- Therefore, the motional EMF over the length L of the side of the loop is given by $\varepsilon_{motion} = vB \times L$ (Eq. 1), where L is the length of the object moving at speed v relative to the magnet.
- From Eq. 1 and Eq. 2 we can confirm that motional and induced EMF yield the same result.
- (a) Motional EMF.
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- For example, consider the case of uniform circular motion.
- Here, the velocity of particle is changing - though the motion is "uniform".
- For simplicity, let's consider a uniform circular motion.
- For example, just as we use the equation of motion $F = ma$ to describe a linear motion, we can use its counterpart $\bf{\tau} = \frac{d\bf{L}}{dt} = \bf{r} \times \bf{F}$ to describe an angular motion.
- For the description of the motion, angular quantities are the better choice.
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- Helical motion results when the velocity vector is not perpendicular to the magnetic field vector.
- In the section on circular motion we described the motion of a charged particle with the magnetic field vector aligned perpendicular to the velocity of the particle.
- This produces helical motion (i.e., spiral motion) rather than a circular motion.
- Uniform circular motion results.
- Describe conditions that lead to the helical motion of a charged particle in the magnetic field
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- The motion of rolling without slipping can be broken down into rotational and translational motion.
- Rolling without slipping can be better understood by breaking it down into two different motions: 1) Motion of the center of mass, with linear velocity v (translational motion); and 2) rotational motion around its center, with angular velocity w.
- Distinguish the two different motions in which rolling without slipping is broken down