here,
the initial spring constant is K0
the final spring constant , K = 4 * K0
when the frequency remains the same
(1/2*pi) * sqrt(K/m) = (1/2*pi) * sqrt(K0/m0)
K/m = K0 /m0
4 * K0 /m = K0 /m0
m = 4 * m0
the mass of the system must be quadrupled
If the spring constant of a simple harmonic oscillator is quadrupled, by what factor will the...
1. The amplitude of a simple harmonic oscillator is doubled. Which of the following remain the same? O O O O a The maximum velocity b.The maximum acceleration. c. The frequency. d. All of them remain the same. O eNone of them remain the same 2. Suppose a special spring is made that has an unusual force law. The force law of ths spng is F--kx3. The motion of a mass attached to this spring will be O a simple...
A spring-mass system is in simple harmonic motion. How do the period, maximum speed, frequency, and total mechanical energy of the oscillator change after each of the following alterations (up, down or no change): a) Spring constant (k) is increased? b) Amplitude id increased? c) Mass is decreased?
Problem 2.
A simple harmonic oscillator consists of a mass m attached to a
spring with spring constant k.
The mass is displaced a distance a and released from rest. v0 is
the nature frequency.
Problem 4 Allow the motion in Problem 2 to take place in a resisting medium. After oscillating for a time t1, the maximum amplitude decreases to half its initial value
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth on a frictionless horizontal surface. Suppose the mass of the box is 5.0 kg. The motion is started by holding the box at .50m from its central position, using a force of 40.0 N. Then the box is let go and allowed to perform simple harmonic motion. What is the amplitude of the motion? What is the spring constant k? What is the maximum...
A 0.50 kg mass oscillates in simple harmonic motion on a spring with a spring constant of 210 N/m . Part A What is the period of the oscillation? Part B What is the frequency of the oscillation?
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
can someone please help me answer these questions?
A simple harmonic oscillator consists of a 10 kg mass attached to a spring with a spring constant of 120 N/m. The mass is displaced 20.37 m from the equilibrium position, held motionless, and then released. (a) Calculate the angular frequency and the period. For radians, enterrad" as the unit. For a full list of accepted units, use the "Units Help" link below. Number Units T Number Units (b) Calculate the maximum...
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth on a frictionless horizontal surface. Suppose the mass of the box is 5.0 kg. The motion is started by holding the box at 0.50 m from its central position, using a force of 40.0 N. Then the box is let go and allowed to perform simple harmonic motion. roosoo - 5m o +5 m (a) (2 points) What is the amplitude of the motion?...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...
Simple Hanging Harmonic Oscillator Developed by K Roos In this set of exercises the student builds a computational model of a hanging mass-spring system that is constrained to move in 1D, using the simple Euler and the Euler-Cromer numerical schemes. The student is guided to discover, by using the model to produce graphs of the position, velocity and energy of the mass as a function of time, that the Euler algorithm does not conserve energy, and that for this simple...