Question

A steel strip, clamped at one end, undergoes vibrations with a frequency of 20 Hz and an amplitude of 5 mm at the free end where a small mass of 2 g is positioned. Calculate the velocity of the end when passing through the zero position.

Answer 1

The velocity of the end of the steel strip at the zero position can be calculated using the formula v_max = 2πfA, by substituting the given frequency and amplitude values.

Step-by-step explanation:

The velocity of the end of the steel strip as it passes through the zero position can be calculated using the relationship between amplitude, frequency, and velocity. The formula to find the maximum velocity (v_max) at the zero position for simple harmonic motion is v_max = 2πfA, where f is the frequency and A is the amplitude of the oscillation.

In this case, the frequency (f) is given as 20 Hz, and the amplitude (A) is 5 mm, which should be converted to meters (0.005 m) for consistency in units. Hence, plugging these values into the formula, v_max = 2π(20 Hz)(0.005 m), we calculate the velocity.