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2 years ago

What are the main characteristics of S.H.M

Physics

2 answers:

brilliants [131]2 years ago

7 0

SHM stands for Simple harmonic motion

Properties:-

$\\ \bull\sf\dashrightarrow Particle\:moves\:in\:one\:dimension.$

$\\ \bull\sf\dashrightarrow Particle\:moves\:towards\:a\:fixed\;mean\:position\:where\:F_{net}=0.$

$\\ \bull\sf\dashrightarrow Net\:Force\:on\:the\:particle\:is\:always\:directed\:towards\:mean\:position.$

$\\ \bull\sf\dashrightarrow Magnitude\:of\:net\;force\:is\:always\:proportional\:to\:the\:displacement\:of\:particle\:from\:the\:mean\:position\:at\:that\:constant.$

$\\ \bull\tt\dashrightarrow \boxed{\sf F_{net}=-kx}$

k=Force constant

$\\ \bull\tt\dashrightarrow ma=-kx$

m stands for mass
a stands for acceleration

$\\ \bull\tt\dashrightarrow a=\dfrac{-k}{m}x$

$\\ \bull\tt\dashrightarrow a=-\omega^2x$

Where

$\bull\sf \omega=Angular\:Frequency$

$\\ \boxed{\bull\tt\dashrightarrow \dfrac{d^2x}{dt^2}=-\omega^2x}$

This equation is called as the differential equation of S.H.M

agasfer [191]2 years ago

4 0

Answer:

•→ The motion of a particle or body in S.H.M acts towards a fixed point.

•→ Acceleration of the body under S.H.M is proportional to its displacement.

•→ This motion is periodic.

•→ Mechanical energy is conserved in S.H.M

Explanation:

S.H.M is Simple Harmonic Motion

$.$

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2 years ago

A rectangular coil of dimensions 5.40cm x 8.50cm consists of25 turns of wire. The coil carries a current of 15.0 mA.

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Answer:

(a) Magnetic moment will be $17.212\times 10^{-4}A-m^2$

(b) Torque will be $6.024\times 10^{-4}N-m$

Explanation:

We have given dimension of the rectangular 5.4 cm × 8.5 cm

So area of the rectangular coil $A=5.4\times 8.5=45.9cm^2=45.9\times 10^{-4}m^2$

Current is given as $i=15mA=15\times 10^{-3}A$

Number of turns N = 25

(A) We know that magnetic moment is given by $magnetic\ moment=NiA=25\times 45.9\times 10^{-4}\times 15\times 10^{-3}=17.212\times 10^{-4}A-m^2$

(b) Magnetic field is given as B = 0.350 T

We know that torque is given by $\tau =BINA=0.350\times 15\times 10^{-3}\times 25\times 45.9\times 10^{-4}=6.024\times 10^{-4}N-m$

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2 years ago

You are at the top of the Empire State Building on the 102nd floor, which is located 373 m above the ground, when your favorite

Liula [17]

Answer:

1.5 m

Explanation:

H = actual height of the superhero = ?

H₀ = height of the superhero as observed = 1.73 m

v = speed of the superhero = 0.50 c

Using the equation

$H = H_{o} \sqrt{1 - \left ( \frac{v}{c} \right )^{2}}$

Inserting the values

$H = 1.73 \sqrt{1 - \left ( \frac{0.50 c}{c} \right )^{2}}$

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3 years ago

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8090 [49]

Answer:

t = 3.516 s

Explanation:

The most useful kinematic formula would be the velocity of the motorcylce as a function of time, which is:

$v(t) = v_0 +at$

Where v_0 is the initial velocity and a is the acceleration. However the problem states that the motorcyle start at rest therefore v_0 = 0

If we want to know the time it takes to achieve that speed, we first need to convert units from km/h to m/s.

This can be done knowing that

1 km = 1000 m

1 h = 3600 s

Therefore

1 km/h = (1000/3600) m/s = 0.2777... m/s

100 km/h = 27.777... m/s

Now we are looking for the time t, for which v(t) = 27.77 m/s. That is:

27.777 m/s = 7.9 m/s^2 t

Solving for t

t = (27.7777 / 7.9) s = 3.516 s

6 0

3 years ago

Mary takes 6.0 seconds to run up a flight of stairs that is 102 meters long. If Mary's weight is 87 newtons, what power has Mary

fredd [130]

Answer: 1479watts

Explanation:

Power is defined as the energy expended or work done in a specific time.

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Since work done is force × distance

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Force = Mary's weight = 87N

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Time = 6.0seconds

Substituting in the formula we have;

Power = 87 × 102/6

Power = 1,479watts

Note that the time must be in seconds before usage. If its given in minutes, you will have to convert to seconds

8 0

3 years ago

What are the main characteristics of S.H.M​

What are the main characteristics of S.H.M