Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.245 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 30.2 Hz. Find the value of the spring constant k. k= N/m The amplitude of the driving force is 0.424 N and the amplitude of the oscillator's steady-state motion in response to this driving force is 0.898 m. What is the oscillator's damping constant b? b = kg/s

Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.213 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 37.5 Hz. Find the value of the spring constant ?.  The amplitude of the driving force is 0.438 N and the amplitude of the oscillator's steady‑state motion in response to this driving force is 0.813 m. What is the oscillator's damping constant ??

A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 1.58 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?

A block of mass (3 kg) lays on a frictionless plane and is attached to a horizontal spring with spring constant (8 N/m). The spring is attached to a nearby vertical wall. The minimum distance of the block from the wall during its oscillations is 0.8 m. The maximum distance of the block from the wall during its oscillations is 1.2 m. What is the maximum speed of the block during its oscillations?

An object weighing 32 lb stretches a spring 2ft in equilibrium. There is also a damping force with c = 8. The spring is raised 2 ft and thrown upwards with a velocity of 4ft/sec. Determine the mass m and the spring constant k, and give the differential equation describing the harmonic motion of this system. Solve the differential equation to find the displacement y.

A 0.900 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k= 420 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t= 0 the block passes through x = 0 with a speed of 4.20 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion? (a) Number i Units (b) Number i Units

A spring oscillator is designed with a mass of 0.288 kg. It operates while immersed in a damping fluid, selected so that the oscillation amplitude decreases to 1.00% of its initial value in 7.55 s. Determine the damping coefficient b of the system. Assume that the system is underdamped. b = kg/s

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

An undamped 2.50 kg horizontal spring oscillator has a spring constant of 29.0 N/m. While oscillating, it is found to have a speed of 2.20 m/s as it passes through its equilibrium position. What is its amplitude of oscillation? What is the oscillator's total mechanical energy as it passes through a position that is 0.656 of the amplitude away from the equilibrium position?

need help with d