Question

Please try to complete questions #4-6.

4. A prong of a tuning fork vibrates in SHM at a frequency of 500 vib/s. The prong moves through 2.00 mm, 1.00 mm on either side of center. What is the maximum velocity? What is the maximum acceleration? 5. The springs of a TQ kg'car compress vertically 7.0 mm when a 100 kg man slips in. With the man in the car, how many vib/s does the body of the car make after being jarred while going over a bump? 6. A spring with a force constant 250 N/m is loaded with a mass of 10 kg. a) Find the period of vibration. b) If the mass is displaced 30 cm, then released, find the velocity as it passes the equilibrium position. c) What is the total energy of the vibrating mass? d) How much time is required for the mass to move from endpoint of motion to the equilibrium position?

Answer 1

Amplitude = 1 times 10^-3 m frequency (F) = 500 vib/s maximum velocity = amplitude times angular velocity (w) v_max = 1 times 10^-3 times(2pi times 500) v_max = pi = 3.14m/s