A spring vibrates with of frequency of 3 Hz when a mass of 1 kg is hung from it. Find the spring costant K. If a 3 kg mass were added to the 1kg mass, what would be the resulting frequency?
a)
w ^2 = k/m
( 2 *3.14* 3)^2 = k/ 1
k = 354.95 N/m
=======
b)
(2 pi f) ^2 = 354.95 / 4
f = 1.5 Hz
========
Comment in case any doubt, will reply for sure.. Goodluck
A spring vibrates with of frequency of 3 Hz when a mass of 1 kg is...
An elastic cord vibrates with a frequency of 2.5 Hz when a mass of 0.63 kg is hung from it. What is its frequency if only 0.32 kg hangs from it?
A mass m at the end of a spring vibrates with a frequency of 0.86 Hz . When an additional 660 g mass is added to m, the frequency is 0.65 Hz . What is the value of m? Express your answer using two significant figures.
When a 0.850-kg mass oscillates on an ideal spring, the frequency is 1.55 Hz . What will the frequency be if 0.160 kg are added to the original mass? Try to solve this problem without finding the force constant of the spring. What will the frequency be if 0.160 kg are subtracted from the original mass? Try to solve this problem without finding the force constant of the spring.
A 15.5 kg mass vibrates in simple harmonic motion with a frequency of 17.73 Hz. It has a maximum displacement from equilibrium of +13.2 cm at time, t = 0.00 s. The displacement from equilibrium of the mass at time, t = 1.25 s is cm.
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
A mass m at the end of a spring oscillates with a frequency of 0.73 Hz . When an additional 750 g mass is added to m, the frequency is 0.59 Hz . What is the value of m?
A spring with a cart at its end vibrates at frequency7.0 Hz . A. Determine the period of vibration. B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged. C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.
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...
A small fly of mass 0.25 g is caught in a spider's web. The web vibrates predominately with a frequency of 4.6 Hz .What is the value of the effective spring stiffness constant k for the web?At what frequency would you expect the web to vibrate if an insect of mass 0.50 g were trapped?
A mass m at the end of a spring oscillates with a frequency of 0.86 Hz . When an additional 760 g mass is added to m, the frequency is 0.61 Hz .