1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Georgia [21]
2 years ago
5

Derive formula of time period of S.H.M.​

Physics
1 answer:
allochka39001 [22]2 years ago
3 0

Answer:

it os shm and yea because of the smh

Explanation:

smh

You might be interested in
Which object would be the best insulator of electricity?
solniwko [45]

Answer:

a rubber band

Explanation:

hope this helps!

7 0
2 years ago
Read 2 more answers
What is number 14 please tell me
UNO [17]
<span>a thin fibrous cartilage between the surfaces of some joints, e.g., the knee.</span>
3 0
3 years ago
HEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPPP i need to get unstuck
pochemuha
Geyshbdgsggefsgahevayagvdvdgavd
8 0
3 years ago
Read 2 more answers
Which of the following terms is correct when talking about energy?
vlabodo [156]

Answer:

C. Converting Energy

Explanation:

Hope this helped, Have a Wonderful Day!!

5 0
2 years ago
Read 2 more answers
A 10 g particle undergoes SHM with an amplitude of 2.0 mm and a maximum acceleration of magnitude 8.0 multiplied by 103 m/s2, an
Nat2105 [25]

Answer:

a)T=0.0031416s

b)v_{max}=6.283\frac{m}{s}

c) E=0.1974J

d)F=80N

e)F=40N

Explanation:

1) Important concepts

Simple harmonic motion is defined as "the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law (F=-Kx). The motion experimented by the particle is sinusoidal in time and demonstrates a single resonant frequency".

2) Part a

The equation that describes the simple armonic motion is given by X=Acos(\omega t +\phi)    (1)

And taking the first and second derivate of the equation (1) we obtain the velocity and acceleration function respectively.

For the velocity:

\frac{dX}{dt}=v(t)=-A\omega sin(\omega t +\phi)   (2)

For the acceleration

\frac{d^2 X}{dt}=a(t)=-A\omega^2 cos(\omega t+\phi)   (3)

As we can see in equation (3) the acceleration would be maximum when the cosine term would be -1 and on this case:

A\omega^2=8x10^{3}\frac{m}{s^2}

Since we know the amplitude A=0.002m  we can solve for \omega like this:

\omega =\sqrt{\frac{8000\frac{m}{s^2}}{0.002m}}=2000\frac{rad}{s}

And we with this value we can find the period with the following formula

T=\frac{2\pi}{\omega}=\frac{2 \pi}{2000\frac{rad}{s}}=0.0031416s

3) Part b

From equation (2) we see that the maximum velocity occurs when the sine function is euqal to -1 and on this case we have that:

v_{max}=A\omega =0.002mx2000\frac{rad}{s}=4\frac{m rad}{s}=4\frac{m}{s}

4) Part c

In order to find the total mechanical energy of the oscillator we can use this formula:

E=\frac{1}{2}mv^2_{max}=\frac{1}{2}(0.01kg)(6.283\frac{m}{s})^2=0.1974J

5) Part d

When we want to find the force from the 2nd Law of Newton we know that F=ma.

At the maximum displacement we know that X=A, and in order to that happens cos(\omega t +\phi)=1, and we also know that the maximum acceleration is given by::

|\frac{d^2X}{dt^2}|=A\omega^2

So then we have that:

F=ma=mA\omega^2

And since we have everything we can find the force

F=ma=0.01Kg(0.002m)(2000\frac{rad}{s})^2 =80N

6) Part e

When the mass it's at the half of it's maximum displacement the term cos(\omega t +\phi)=1/2 and on this case the acceleration would be given by;

|\frac{d^2X}{dt^2}|=A\omega^2 cos(\omega t +\phi)=A\omega^2 \frac{1}{2}

And the force would be given by:

F=ma=\frac{1}{2}mA\omega^2

And replacing we have:

F=\frac{1}{2}(0.01Kg)(0.002m)(2000\frac{rad}{s})^2 =40N

8 0
2 years ago
Other questions:
  • - As you ride in a car, both you and the car are moving
    14·1 answer
  • a doghouse has a mass of 98 kg, and the coefficient of friction between it and the ground is 0.95. what is the maximum force of
    9·2 answers
  • Iron filings were mixed together with salt crystals. What unique property of iron would be BEST to separate the filings from the
    11·2 answers
  • james wants to lower the pitch coming from an electronic sound generator. how would he achieve that? a. he should increase the a
    13·2 answers
  • What will happen to the density of an object when it's mass increases?
    6·2 answers
  • 5. Density equals mass divided by volume. If a
    13·1 answer
  • What distance does the spring need to be compressed so that the block will just barely make it past the rough patch when release
    12·1 answer
  • A 7.0 kg mass is lifted 4.0 m above the ground. Find the change in gravitational energy.
    15·1 answer
  • Our body contains ______________ potential energy from food we have eaten.
    8·1 answer
  • Help please help me?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!