Physics 1: Simple Harmonic Motion
An oscillator consists of a block of mass 0.500 kg connected to a spring. When set into oscillation with amplitude 35.0 cm, the oscillator repeates its motion every 0.500 s. Find the:
A. period
B. frequency
C. angular frequency
D. spring constant
E. maximum speed
F. magnitude of maximum force on the block from the spring
Find the mechanical energy of a block-spring system having a spring constant of 1.3 N/cm and an oscillation amplitude of 2.4 cm.
A 10 g particle undergoes simple harmonic motion with an amplitude of 2.0 mm, a maximum acceleration of 8 x 10 m/s , and an unknown phase constant. What are
A. the period of the motion?
B. the maximum speed of the particle?
C. the total mechanical energy of the oscillator?
D. the magnitude of the force on the particle at its maximum and half its maximum displacement?
A block of mass M, 5.4 kg, at rest on a horizontal frictionless table is attached to a rigid support by a spring constant k, 6000 N/m. A bullet of mass m, 9.5 g, and velocity of magnitude 630 m/s strikes and is embedded in the block. Assuming the compression of the spring is negligible until the bullet is embedded, determine:
B. the amplitude of the resulting simple harmonic motion