A mass attached to the free end of a spring executes simple harmonic motion according to the equation y = (0.50 m) cos (18π t + π), where y is in meters and t is in seconds. What is the period of vibration?
a) 18s b) 1/18s c) 9.0s d) 1/9s
A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to slide back to its equilibrium position and then continues to oscillate back and forth through the equilibrium position. What is the period of oscillation?
a) 0.50s b) 1.5s c) 1.0s d) 2.0s
An object in simple harmonic motion obeys the following position versus time equation: y = (0.50 m) cos (π/2 t + π). What is the maximum speed of the object?
a) 0.13 m/s b) 0.79 m/s c) 0.39 m/s d) 0.26 m/s
A mass m hanging on a spring has a natural frequency f. If the mass is increased to 4m, what is the new natural frequency?
a) 0.25f b) 0.5f c) 2f d) 4f