Question

what changes could you make in harmonic oscillator that would double the maximum speed of the oscillating object​

Answer 1

Answer:

Either frequency of the previous angular frequency

of oscillation w or amplitude of the oscillation r to double the maximum

speed of the oscillating object

Explanation:

Kinetic energy in simple harmonic motion is the energy possessed by the particle by virtue of its motion.

The maximum kinetic energy in simple harmonic motion is defined as,

(K) max = ½ mw2r2 …… (1)

Where m is the mass of the body, w is the angular frequency of the oscillation and r is the amplitude of the oscillation.

But kinetic energy K is defined as,

K = ½ mv2 …... (2)

Where m is the mass of the body and v is the velocity of the body.

Substitute equation (2) in equation (1),

½ mv2 = ½ mw2r2

So, v = wr …… (3)

From

equation (3) we observed that, since mass (m) is not the fundamental

property of the pendulum, therefore keeping mass as a constant quantity,

you have to double either frequency of the previous angular frequency

of oscillation w or amplitude of the oscillation r to double the maximum

speed of the oscillating object

Answer 2

Explanation:

The maximum speed of harmonic oscillator depend on three constant

1. Amplitude of oscillation: Maximum velocity is directly proportional to the amplitude of oscillation. Hence, to double it amplitude is also doubled.
2. Spring constant: Maximum velocity is directly proportional to  square root of spring constant. Hence, if spring constant is made four times a velocity doubles
3. Mass of an object: Inversely proportional to mass. Hence, if mass is made half speed doubles.