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(Figure 1) is the velocity-versus-time graph of a particle in simple harmonic motion.?

source : yahoo.com

(Figure 1) is the velocity-versus-time graph of a particle in simple harmonic motion.?

A/

We observe on the graph one complete cycle, so

the period T = 12 s, and so the

angular frequency ω = 2π/T = 0.52 rad/s

We also observe from the graph that the maximum velocity is 60 cm/s

We know (or ought to know) that

max velocity = amplitude * angular frequency, so

60 cm /s = A * 0.52rad/s

gives us

amplitude A = 115 cm = 1.15 m ◄

B/

I hate these phase angle questions, since it depends on how you model the motion. If we use

Vx = A*cos(2πt/12 + φ), then φ = π/3 radians. ◄

But if you use Vx = A*cos(2πt/12 – φ), then φ = -π/3 radians.

And you might even use sin instead of cos, in which case φ = ± 5π/6 rads

C/

If Vx = 60cm/s*cos(2πt/12 + π/3), then

x = 1.15m * sin(2πt/12 + π/3)

and so when t = 0,

x = 1.15m * sin(π/3) = 0.99 m ◄

and this should be true regardless of how you model the motion.

Hope this helps!

The displacement - time (x - t) graph of a particle executing si

The displacement – time (x – t) graph of a particle executing si – Question from Class 11 Chapter Simple Harmonic Motion. Apne doubts clear karein ab The – acceleration displacement graph of a particle executing simple harmonic motion is shown in The following figure shows displacement versus time curve for a particle executing simple harmonic…Simple Harmonic Motion (SHM). Click here for questions & homework on SHM. the acceleration is always directed towards the equilibrium position. The frequency (f) of an oscillation is measure in hertz (Hz) it is the number of oscillations per second. Time period of a Pendulum. SHM and Energy. The total energy remains the same and is equal to kinetic energy + potential energy (see graph below).In mechanics and physics, simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude…

Simple Harmonic Motion (SHM) – frequency, acceleration… – Start studying Simple Harmonic Motion Quiz. Learn vocabulary, terms and more with flashcards, games and other study tools. – A: Velocity is zero. An object that is in simple harmonic motion is restored to its equilibrium The graph represents the simple harmonic motion of a mass on a spring.Figure 3. Simple Harmonic Motion (SHM): Recall the definition of angular speed ω: ω = Δθ/Δt. A that is the maximum deviation from the equilibrium position (O') is called the "Amplitude" of The graph of y versus θ or ωt is shown in Fig. 7. The graph is based on the assumption that at t = 0, θ…Simple Harmonic Motion – Multiple Choice Questions. Q1. A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it Q23. When a mass M attached to a spring X, as shown in Figure 1, is displaced downwards and released it oscillates with time period T.

Simple Harmonic Motion (SHM) - frequency, acceleration...

Simple harmonic motion – Wikipedia – Position, velocity, and acceleration as a function of time graphs for an object in simple harmonic motion are shown and demonstrated. Want Lecture Notes…A particle is said to be in Simple Harmonic Motion (SHM) when it is acted upon a restoring force proportional to its displacement, and therefore In this case, we want to find the time t at which the particle is moving to the left at maximum speed. This occurs when the cosine part has the maximum…Consider the position vs time as a cosine function. a. What is the phase constant? b. What is the velocity at t = 0 s? c. What is v Max ? ) ( cos t A x Phys 1B03, Summer 2015 Phys 1B03, Summer 2015, McMaster University, R. Nejat Energy in Simple Harmonic Motion M x = 0 A – A 2 2 1 x k U 2…

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