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LAB 11: MASSES AND SPRINGS Part A Theory Please study spring force and oscillation concepts to answer the following questions. 1

Marat540 [252]

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

Why is it called simple harmonic motion?

The motion of a particle moving along a straight line with an acceleration whose direction is always towards a fixed point on the line and whose magnitude is proportional to the distance from the fixed point is called simple harmonic motion.

Why is SHM important?

Whilst simple harmonic motion is a simplification, it is still a very good approximation. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions.

What are two basic characteristics of SHM?

Solution : The two basic characteristics of a simple harmonic motion : (i) Acceleration is directly proportional to displacement.

(ii) The direction of acceleration is always towards the mean position, that is opposite to displacement.

Learn more about simple harmonic motion:

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7 0

1 year ago

The displacement y is expressed as a function of x and t in terms of the wave numberk and the angular frequency. Write the equiv

Phoenix [80]

Explanation:

The displacement equation is given by :

(a) $y=A\ sin(\omega t\pm kx)$

Since, $\omega=2\pi f$

$\lambda=\dfrac{2\pi}{k}$

$y=A\ sin(2\pi f t\pm kx)$

$y=A\ sin(\dfrac{2\pi vt}{2\pi /k}\pm kx)$

$y=A\ sin(kvt+kx)$

$y=A\ sink(vt+x)$

The above equation is in terms of k and v.

(b) $y=A\ sin(\omega t\pm kx)$

$y=A\ sin(2\pi \dfrac{v}{\lambda}t\pm\dfrac{2\pi}{\lambda}x)$

$y=Asin\dfrac{2\pi}{\lambda}(vt\pm x)$

(c) $y=A\ sin(\omega t\pm kx)$

$y=A\ sin(2\pi f t\pm \dfrac{2\pi}{\lambda} x)$

$y=A\ sin\ 2\pi (ft\pm \dfrac{x}{\lambda})$

(d) $y=A\ sin(\omega t\pm kx)$

$y=A\ sin(2\pi ft+\dfrac{2\pi}{\lambda}x)$

$y=A\ sin(2\pi ft+\dfrac{2\pi}{v/f}x)$

$y=A\ sin\ 2\pi f(t+\dfrac{x}{v})$

Where

k is the propagation constant

v is the speed of wave

f is the frequency of a wave

$\lambda$ is the wavelength

Hence, this is the required solution.

3 0

3 years ago

Which elements will have chemical properties similar to NE (neon)?

gregori [183]

Elements that have similar properties are in the same column(group). Neon is in group 18 (or VIIIA depending on your table). So look for an element that is in the same column.

O - Group 16
Ar - Group 18
N - Group 15

The one that matches is Ar (both 18)

6 0

3 years ago

A 24 kg child descends a 5.0 m high slide and reaches the ground with a speed of 2.8 m/s. What is the mass of the child?

laila [671]

The mass of the child in this problem is 24 Kg, the unit for mass is in Kilogram.
The mass will change only if it travels close to the speed of light.

7 0

3 years ago

What is 300N divided by 25 kg?

snow_lady [41]

Answer:

Explanation:

it is acceleration because we know that

F=ma

a=F/m

a=300N/25 kg

a=12 m/s^2

3 0

2 years ago