Question

A 23.3-kg mass is attached to one end of a horizontal spring, with the other end of the spring fixed to a wall. The mass is pulled away from the equilibrium position (x = 0) a distance of 17.5 cm and released. It then oscillates in simple harmonic motion with a frequency of 8.38 Hz. What is the mass’s maximum speed during this motion?

Answer 1

In spring mass system we know that angular frequency is given as

`\omega = 2\pi f`

f = 8.38 Hz

`\omega = 2\pi(8.38)`

`\omega = 52.65  rad/s`

now we know that speed of SHM at its extreme position is given by

`v = A\omega`

here we know that

A = 17.5 cm

`v = 0.175 (52.65)`

`v = 9.21 m/s`

so maximum speed is 9.21 m/s