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Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass 5.21 kg is set on a platform that vibrates in SHM at 109 Hz and with a maximum acceleration of 93 m/s2.

a-Find the radio's maximum displacement
____meters

b-Find the radio's maximum speed.
____m/s

c-Find the maximum net force exerted on it.
____N

2007-06-26 11:42:42 · 4 answers · asked by Ciel S 1 in Science & Mathematics Physics

4 answers

nothing more to add

2007-06-30 08:14:58 · answer #1 · answered by Abhinesh 4 · 0 1

Answer 1 seems to be for a slightly different question than the one asked. We are given acceleration a and mass m, so answer c is F=ma.
For questions b and c, we want the frequency in rad/s, equal to freq in Hz * 2 * pi.
Question b asks for speed, which is the integral of acceleration, or a/w.
Question c asks for displacement, which is the second integral of acceleration, or a/w^2.

P.S. This is not a radio receiver problem, it's a SHM problem!

2007-06-27 16:13:59 · answer #2 · answered by kirchwey 7 · 0 0

We need to know Acceleration, speed and Position.

Lets say that P(t) is the position at time t.

We know that we have simple harmonic motion so we will make the equation
P(t) = b sin(w t).
We know the frequency in hertz. You need to convert to radians per second for w.

We differentiate this once to get the speed or
S(t) =
Now differentiate again to get
A(t) =
which is the acceleration.
Fill in the blanks here.

Now with the acceleration equation there is a maximum at pi/2 so you can solve for the constant b.

Now with the equations you can solve for the max displacement and speed. The maximum force would use the equation
F = m a.

2007-06-26 12:02:37 · answer #3 · answered by Roy E 4 · 0 0

definite, jeffB is acceptable,yet you're able to upload yet another transistor with the comparable connections like TR2 however the LC circuit could be track to 100MHz(the 5th harmonic of 20MHz)so which you've got 2 outputs and a couple of antennas.

2016-10-03 04:47:44 · answer #4 · answered by ? 4 · 0 0

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