For an oscillation, acceleration is
where is the angular frequency and is the displacement
and
......where t is the period
Given, maximum displacement is amplitude(at the ends of motion)
Given, maximum acceleration is
we have
that is,
......period of oscillation
Given, mass is
Let be the spring constant,
We have,
.......spring constant
2) A mass-on-a-spring oscillates with an amplitude of 45.0 cm. It has a maximum acceleration of...
14.4 A 3 kg mass oscillates on the end of a spring with an amplitude of 32 cm. a) If the maximum acceleration of the spring is 43.3 m/s2 , what is the spring constant of the spring? b) What is the frequency of the oscillation? c) If the spring was released at t = 0 s, how many complete oscillations occur in the first 10 s?
5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleration of the mass. c) Sketch a plot of the position of the mass vs time by labelling the values for amplitude and period.
A mass-spring system oscillates with an amplitude of 10 cm. If the force constant of the spring of 315 N/m and the mass is 0.8 kg, what is the magnitude of the maximum acceleration of the mass in m/s2? Enter a number with one digit behind the decimal point.
A 456 g mass oscillates with an amplitude of 12.8 cm in simple harmonic oscillation connected to a spring of spring constant k . The system is known to have a maximum velocity of 0.575 m/s as it oscillates back and forth. What is the spring constant of the oscillation? What is the period of the oscillation? What is the total energy of the system?
can you help me with this prblem?? Thanks 5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleratjon of the mass. c) Sketch a plot of the position of the mass vs time by labelling the...
A 4 kg object oscillates on a spring with an amplitude of 8 cm . The maximum acceleration of the object is 4 m/s2 . What is the maximum speed of that object as it oscillates?
A 506 g mass oscillates with an amplitude of 11.0 cm on a spring whose spring constant is 20.0 n/m. Determine the period. Determine the maximum speed.
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
A mass-spring system oscillates with an amplitude of 3.60 cm. If the spring constant is 276 N/m and the mass is 499 g, determine the mechanical energy of the system. Tries 0/20 Determine the maximum speed of the object. Tries 0/20 Determine the maximum acceleration. Tries 0/20
A 1.5-kg mass attached to a spring oscillates with an amplitude of 9.3 cm and a frequency of 2.8 Hz. Part A What is its energy of motion