A weight of 50.0 N is suspended from a spring that has a force constant of 210 N/m. The system is undamped and is subjected to a harmonic driving force of frequency 11.5 Hz, resulting in a forced-motion amplitude of 4.00 cm. Determine the maximum value of the driving force.

The maximum value of the driving force is 1044.01 N.

Explanation:

Given that,

Weight of the object, W = 50 N

Force constant of the spring, k = 210 N/m

The system is undamped and is subjected to a harmonic driving force of frequency 11.5 Hz.

Amplitude, A = 4 cm

We need to find the maximum value of the driving force. The force is given by the product of mass and maximum acceleration as :

.....(1)

A is amplitude

m is mass,

is angular frequency

Angular frequency is given by :

Equation (1) becomes :

So, the maximum value of the driving force is 1044.01 N.