A particle with a mass of 0.2 kg moves according to the law
`s=0.08cos(20pit+(pi)/(4))`
Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities.

Answer

Hint. Write the product of the sinusoidal functions as a sum.

Explanation

Carry out the following transformations:

`s=4cos^(2)""(t)/(2).sin1000t=2(1+cost)sin1000t=2sin1000t+2sin1000t.cost=2sin1000t+sin1001t-sin999t`
The spectrum is shown if Fig