Linear Harmonic Motion - HW 2

Front

What is Linear Harmonic Motion?

Back

Linear Harmonic Motion is a type of periodic motion where an object moves back and forth around an equilibrium position, typically described by a sine or cosine function.

Front

What is the formula for the frequency of a mass-spring system?

Back

The frequency (f) of a mass-spring system is given by the formula: f = (1/2π) * √(k/m), where k is the spring constant and m is the mass.

Front

What is the relationship between mass and frequency in a mass-spring system?

Back

As the mass (m) increases, the frequency (f) decreases. This means that a heavier mass will oscillate more slowly.

Front

What is the formula for the period of a mass-spring system?

Back

The period (T) of a mass-spring system is given by the formula: T = 2π * √(m/k), where m is the mass and k is the spring constant.

Front

How does the spring constant (k) affect the frequency of vibration?

Back

A higher spring constant (k) results in a higher frequency of vibration, meaning the system oscillates faster.

Front

What is Hooke's Law?

Back

Hooke's Law states that the force (F) exerted by a spring is directly proportional to the displacement (x) from its rest position: F = kx, where k is the spring constant.

Front

If a spring has a spring constant of 300 N/m, what force is required to stretch it by 0.4 m?

Back

Using Hooke's Law, F = kx = 300 N/m * 0.4 m = 120 N.

Front

What happens to the force required to stretch a spring if the distance is doubled?

Back

If the distance is doubled, the force required to stretch the spring also doubles, according to Hooke's Law.

Front

What is the relationship between period and frequency?

Back

The period (T) and frequency (f) are inversely related: T = 1/f and f = 1/T.

Front

How do you calculate the frequency if the period is known?

Back

Frequency (f) can be calculated using the formula: f = 1/T, where T is the period.