A. Determine the period of vibration.
b. Determine the frequency if the cart’s mass is doubled while the spring constant remains unchanged.
c. Determine the frequency if the spring constant doubles while the cart’s mass remains the same.
thank you!
2 Answers

A. period T = 1/f = 1/5Hz = 0.20 seconds
Since f = (1/2π)√(k/m),
B. If we double the mass we divide the frequency by √2; new f = 3.5 Hz
C. If we double the spring constant, we multiply the frequency by √2;
new f = 7.1 Hz

A. period T = 1/f = 1/5Hz = 0.20 seconds
Since f = (1/2π)√(k/m),
B. If we double the mass we divide the frequency by √2; new f = 3.5 Hz
C. If we double the spring constant, we multiply the frequency by √2;
new f = 7.1 Hz
Hope this helps!