Does the period depend on the spring constant? Explain. (Hint: Can the term in parentheses 42pi^2m be treated as a constant of proportionality and compared to the slope of your trendline? You will need to make an argument about which value of mass m you should use in your comparison.)
Does the period depend on the spring constant? Explain. (Hint: Can the term in parentheses 42pi^2m...
[Q6-Home] Find the period T of a weight of mass M that oscillates from a spring of constant k on an inclined plane of angle φ with no friction. Support your arguments by clearly showing your work. Hint: It is VERY important to understand, based on the same methodology developed in this section that a spring that oscillates in the vertical, horizontal, or at any angle, will ONLY depend on the mass and the spring’s constant.
Steven says that the period T of an object on a spring is depends on the mass m of the object and the spring constant k of the spring in the following way: T=2π(m/k). Jessica says that the period T of an object on a spring is depends on the mass m of the object and the spring constant k of the spring in the following way: T=2πsqrt(m/k). -The various combinations of masses and spring constants moves on a low...
scale spring with mirror spring's image If Figure . How to correctly measure the position of the bottom of the spring when the weight hanger carries the required added massesa - euiu. Table # 1: Determination ofthe spring constant K -9.80m/s(cm)- F(N) x(m) rf (N/m) 100 150t 200 250 constant Force constant Kew from the slope of % relative difference betueen K and Kim Mi: Mass of the weight hanger Mr: Total Mass slape of the trendline in the graph...
the spring constant of a spring is measured in units of
How many nodes does the 4th harmonic have? A child creates a pendulum by placing a 3 kg rock on a string. After watching the rock swing back and forth for a while, she replaces the 3 kg rock for a 1.5 kg rock. How is the period of the swing changed by this? O It remains the same. O It is decreased O It is increased O Cannot...
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 horizontal spring of spring constant k = 125N/m is resting at its equilibrium length. One end of the spring is attached to a wall, and the other end is attached to a mass M = 200g. The whole system is immersed in a viscous fluid with linear drag coefficient b = 0.1 kg/s. The mass is pulled 10cm from its equilibrium position and released from rest. (a) (0.5 pt) What would be the oscillation period if the system were...
A simple pendulum is a mass on a string. Does the period with which the pendulum swings depend on mass, length, initial angle, or some combination of those? In this lab, you will vary each of these three parameters independently and measure the affect they have on period. Using graphical analysis techniques, you will determine the functional dependence of period on each of those quantities. Not knowing how any of these quantities—length l, mass m, and initial angle (theta)—affect the...
Pre-Lab Activity - Predictions of velocity, acceleration and force for a moving spring Question 1: (1pt) For our experiment, we will change madded, the mass added to the spring, and measure Ay, the displacement after the spring achieves equilibrium, that will change in response. Because the spring force will balance the force of gravity of the mass hanging on the spring, Newton's 2nd law results in equation 3 from the Introduction: kAy madded9 (3) Where g is the acceleration due...
LLLLLLLLLLLLLLLLLLLLL A body of mass m sits on a balance of mass M, which hangs from an ideal spring with spring constant k. Starting in the equilibrium position, the ensemble of two bodies gets an initial velocity Vo. a) Find the period and the amplitude of the oscillations if the body and the balance move together b) Find the maximum amplitude such that the body of mass m never leaves the balance. Make sure you explain (briefly, in words!) your...
Spring Constants & Periods By varying the mass placed on a spring, the period of oscillation can be changed. When multiple data sets are collected and plotted, the spring constant can be determined. Before data was collected, the minimum and maximum masses were determined by visually watching the harmonic motion. For the minimum, a mass was chosen such that the resulting simple harmonic motion had an appreciable amplitude without significant dampening over ten periods. For the maximum, the mass was...