In a science museum, a 130 kg brass pendulum bob swings at the end of a 14.7 mm -long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.2 mm to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010kg/s. a. At exactly 12:00 noon, how many oscillations will the pendulum have completeted?  b. What is the amplitude at noon?

A simple harmonic oscillator consists of a 2.0-kg block and a 1200-N/m spring. When the block is 3.5 cm from equilibrium, its velocity is 85 cm/s. What is the amplitude of the oscillator? 4.9 cm 7.3 cm 17 cm 31 cm 12 cm

After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 50cm. She finds that the pendulum makes 100 complete swings in 136s. What is the value of g on this planet?

Astronauts on a distant planet set up a simple pendulum of length 1.2 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 270 s. What is the magnitude of the acceleration due to gravity on this planet? 5.6 m/s² 6.5 m/s² 7.8 m/s² 9.8 m/s²

A 190 g mass suspended from a spring oscillates in simple harmonic motion. The mass completes 2 cycles every second. Calculate the spring constant.

A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg,  and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?

A spiral staircase wind up to the top of the tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measure to be 6.53 s. What is the height of the tower?

A 0.4 kg block hangs from a spring with a spring constant of 17  N/m. At t=0s the block is 0.3  m below the equilibrium point and moving upward with a speed of  1.6  m/s. What is the block's oscillation frequency (in Hz)?

An undamped 2.10 kg horizontal spring oscillator has a spring constant of 28.9 N/m. While oscillating, it is found to have a speed of 2.86 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = What is the oscillator's total mechanical energy Etot as it passes through a position that is 0.651 of the amplitude away from the equilibrium position? Etot m = J

A 210 g air-track glider is attached to a spring. The glider is pushed in 8.8 cm against the spring, then released. A student with a stopwatch finds that 12 oscillations take 11.5 s. What is the spring constant? Express your answer in newtons per meter. k= VE ΑΣΦ ? N/m