As we know that;
The time period of oscillation is,
Then,
3 4 5 2.7 s. The tretch of 3) In the Mass on Spring experiment, a...
5. A mass of 225 g is suspended from a vertical spring. It is then pulled down 15 cm and released. The mass completes 10 oscillations in a time of 32 seconds. What is the force constant for the spring? 6. A block of unknown mass is attached to a spring with a force constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the...
In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75cm. The mass is then displaced 36cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting an instantaneous downward velocity of 0.45m/s. Set up (but do not solve) the initial value problem that models this experiment. Assume no damping is present. Please show all work and steps clearly so I can...
A mass of 1.1 k g tethered to a spring is measured to make 80 oscillations in 6.9 s . What is the spring constant k ? The amplitude of oscillation is 0.12 m . What is the magnitude of the maximum acceleration of the mass? A mass of 1.1kg tethered to a spring is measured to make 80 oscillations in 6.9s. What is the spring constant k? TTI The amplitude of oscillation is 0.12m. What is the magnitude of...
A spring having a spring constant k is placed on a smooth horizontal table and the left end is fixed. A mass of 200 g is attached to the other end of the spring. The mass is pushed 10.0 cm (to the left) against the spring, then released. A student with a stopwatch finds that 10 oscillations take 12.0 s. 1. What is the amplitude. 2. Write down the position as a function of time. [like: x(t) = Acos(2πft)]
a spring mass system completes 4 oscillations in 8 seconds. if the mass is 20 kg what is the spring constant
A mass-spring system makes 20 complete oscillations in 5 seconds. If the mass is 14 kg, what is the spring constant?
1 point) Math 216 Homework webHW6, Problem 3 Suppose that the mass in a mass-spring-dashpot system with mass m = 49, damping constant c = 1 12, and spring constant k 185 is set in motion with x(0) 18 and x' (0) 43. (a) Find the position function x(t) in the form x(t) (b) Find the psuedoperiod of the oscillations and the equations of the "envelope curves" shown in the figure below, which graphs the cos( motion of the mass...
Problem 4 An object is attached to a spring in such a way that it undergoes simple harmonic motion with a period of 2 s a) 3 points] What is the angular frequency of the oscillations? b) (3 points) If the mass of the object is 4 kg, what is the value of the spring constant, k? c) (2 points] If the amplitude of the oscillations is 20 cm, what is the total energy of the spring- mass system? d)...
Problem #1: 10 points A spring having a spring constant k is placed on a smooth horizontal table and the left end is fixed. A mass of 200 g is attached to the other end of the spring. The mass is pushed 10.0 cm (to the left) against the spring, then released. A student with a stopwatch finds that 10 oscillations take 12.0 s. Draw a neat diagram showing the spring, mass, amplitude, equilibrium position, and both ends of the...
A student must determine how the mass of a block affects the period of oscillation when the block is attached to a vertical spring. The value of the spring constant is known. The student writes the following experimental procedure.Use an electronic balance to measure the mass of the block.Attach the block to the vertical spring.Displace the block from the system’s equilibrium position to a new vertical position.Release the block from rest.Use a meterstick to measure the vertical displacement of the...