The period of oscillation of a spring-and-mass system is 0.610 s and the amplitude is 4.47 cm. What is the magnitude of the acceleration at the point of maximum extension of the spring? in m/s2
The displacement of mass from equilibrium position in a spring mass system is given by
The velocity of the mass is the time derivative of the displacement
The acceleration of the mass is the time derivative of the velocity
The angular frequency is related to the time period of oscillation as
The maximum extension or the amplitude of the oscillations is x=A=4.47cm=0.0447m. The acceleration at the point of maximum extension is
The period of oscillation of a spring-and-mass system is 0.610 s and the amplitude is 4.47...
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 0.40-kg mass is attached to a spring with
a force constant of k = 207 N/m, and the mass–spring
system is set into oscillation with an amplitude of A =
2.0 cm. Determine the following.
(a) mechanical energy of the system
_____ J
(b) maximum speed of the oscillating mass
_____ m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
_____ m/s2
A 0.40-kg mass is attached to a spring with a force constant of k =...
(a) Find the period of oscillation for a spring-mass system where the spring constant (k) is 24 N/m and the mass (m) is 6 kg. (b) Write an equation for x(t) if the spring is stretched to an amplitude of 10 cm from its equilibrium position x = 0 at t = 0. (c) Write an equation for the following initial conditions: at t = 0, the mass is at x = 0 and has a velocity of +3 cm/s.
A 0.40-kg mass is attached to a spring with a force constant of k = 337 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 3.1 cm. Determine the following. (a) mechanical energy of the system (b) maximum speed of the oscillating mass m/s (c) magnitude of the maximum acceleration of the oscillating mass m/s2
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?
A 0.40-kg mass is attached to a spring with a force constant of k = 337 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 2.2 cm. Determine the following. (a) mechanical energy of the system J (b) maximum speed of the oscillating mass m/s (c) magnitude of the maximum acceleration of the oscillating mass m/s2
A steel ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.0 cm, and the spring constant is 6.00 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 19.7 cm/s. (a) What is the mass of the ball (in kg)? kg (b) What is the period of oscillation (in s)? s (c) What is the maximum acceleration of the ball? (Enter the...
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?
In a spring block system the oscillation frequency is 4.00 Hz. If the oscillation amplitude is 0.400 m, determine the position, speed and acceleration at t = 0.500 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.