All Flashcards
What is the effect of constant velocity?
Zero acceleration.
What is the effect of constant acceleration?
Velocity changes uniformly with time.
What is damping in the context of periodic motion?
Damping in periodic motion is when an oscillating system loses energy over time, often due to friction or air resistance, leading to a decrease in amplitude.
How do you find the angular frequency (ω) from the period of motion?
ω = 2π/T, where T is the period of motion.
How is the total energy in simple harmonic motion (SHM) calculated?
In SHM, total energy (Etot) is given by Etot = 1/2 mω^2 A^2. Here, m is mass, ω is angular frequency, and A is amplitude.
How is the potential energy (Ep) calculated in simple harmonic motion?
Potential energy (Ep) in simple harmonic motion is given by Ep = 1/2 mω2 x2, where m is the mass, ω is the angular frequency, and x is the displacement from equilibrium.
How is the period (T) of oscillations calculated?
The period (T) is calculated using the formula T = 2π/ω, where ω is the angular frequency.
How is damping represented in an oscillating system's mathematical model?
Damping in an oscillating system is modeled by a term -b × vx, with 'b' being the damping coefficient and 'vx' the particle's velocity. As b increases, the oscillation's amplitude decreases over time, signifying energy loss until motion ceases.
What occurs when a charged particle moves through a magnetic field?
The magnetic field exerts a force on the moving charge, which can alter its trajectory.
What happens to two conducting foil strips when they carry currents in the same direction?
The strips move toward each other due to the magnetic fields they create, which exert a mutual attractive force when currents are parallel.
When two conducting foil strips have currents in opposite directions, how do they move relative to each other?
When the currents are in opposing directions, the strips move apart.
Describe the behavior of field lines between two parallel currents flowing in the same direction.
When two conductive foils carry currents in the same direction, their magnetic field lines merge, forming loops around both foils. This results in an attractive force pulling the foils together.
What are the steps to analyze 2D motion?
- Break the motion into x and y components. 2. Analyze x and y components separately. 3. Time is the same for both x and y.
What are the steps to solve projectile motion problems?
- Identify initial velocity and launch angle. 2. Calculate initial x and y components of velocity. 3. Analyze vertical motion using kinematic equations with a = -g. 4. Analyze horizontal motion with constant velocity. 5. Use time to connect x and y components.
What are the steps to find the resultant vector?
- Break down vectors into their x and y components using trigonometry (sin and cos). 2. Combine vector components. 3. Find the overall vector using Pythagorean theorem and trigonometry.