displacement of particle executing SHM is half of its amplitude fraction of its K.E will? a.2/3b.3/4c.1/3d.1/2K.E of particle executing SHM is 16J at mean position if amplitude of oscillations is 25cm and mass of particle is 5.12kg time period of oscillations a.pi/5b.2pic.20pid.pipi=π(i need explanation)

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A physicist takes his child to play on a swing. The total massof the child and the swing seat is 16.0 kg. The physicist pulls theswing (with the child sitting on it) back a distance of 0.980 m andreleases it, so that the child swings to and fro. The physicistthen produces a notebook, and makes a series of measurements of themaximum and minimum displacement of the swing from its equilibriumposition during successive oscillations. The physicist also recordsthe times of these maxima and minima. The results are asfollows:

Later, the physicist uses these data to model the motion of theswing, treating it as a case of damped (horizontal) harmonicmotion, with light damping. The motion can be considered to belightly damped because the amplitude of the oscillations graduallydecreases while the period remains constant.
Answer the following questions about this procedure, showing allyour working at each step.

(a) What was the length of the swing? (Treat the swing and thechild as a single particle, and ignore the mass of the ropes thatsupport the swing.)

Really need help answering this... thank you very much for anyand all time time/ effort spent helping me.

Very best,

Miss Lightning.

A string of length 3 m and total mass 12 g is under a tension of 160 N. A transverse harmonic wave with wavelength 25 cm and amplitude 2 cm travels to the right along the string. It is observed that the displacement at x = 0 at t = 0 is 0:87 cm.
(i) What is the speed of the wave?
(ii) Write the wave function, y(x; t).
(iii) Find the particle velocity at position x = 0 at time t = 10 s. What is the maximum particle velocity?

kalanji71199

1.If the velocity of a particle is increasing at a constant rateits mean and instantaneous acceleration are the same.
2. Knowing the position and velocity of a particle allows itsfuture position to be predicted even if its acceleration isunknown.
3. For problems involving constant acceleration the mean andinstantaneous velocity are the same.
4. The slope of the displacement time graph is the instantaneousvelocity.
5. Instaneous velocity is the derivative of the displacement timefunction.

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