Exam 15: Oscillations

A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table.The spring is aligned along the x-axis and is fixed to a peg in the table.Suddenly this mass is struck by another 2.00-kg object traveling along the x-axis at 3.00 m/s,and the two masses stick together.What are the amplitude and period of the oscillations that result from this collision?

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s.If the maximum displacement of occurs when t = 0.00 s,and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

If we double only the mass of a vibrating ideal mass-and-spring system,the mechanical energy of the system

A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other)of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

A lightly damped harmonic oscillator,with a damping force proportional to its speed,is oscillating with an amplitude of 0.500 cm at time t = 0.When t = 8.20 s,the amplitude has died down to 0.400 cm.At what value of t will the oscillations have an amplitude of 0.250 cm?

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the spring constant of the spring?