In the diagram below the displacement-time-graph of a spring oscillator is given. 0.2 0.4 0.6 0.8...
Oscillator Energies 50 40 30 Energy [J] 20 B 10 X 0.2 0.4 0.8 1 1.2 0.6 Time (sec) A damped oscillator with mass m = 3 kg experiences a linear restoring force (spring force) and a linear drag force Fa = -b Vy where vx is the oscillator velocity. The plot shows energies (kinetic, potential, and total) as a function of time. What is the value of the drag coefficient b in kg/s?
Consider a car whose position, s, is given by the table t(s) 0 0.2 0.4 0.6 0.8 1 s (ft) 0 0.4 1.3 3.8 6.5 9.6 Find the average velocity over the interval 0 <t<0.2. average velocity = — help (units) Estimate the velocity at t = 0.2. velocity = — help (units) Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer...
atable tr te vales of Х,, yl, y(x).and y, _ y(x)for the furetion given below, for 0sxs1. wth h . 0.2 dy 0.2 0.4 0.6 0.8 1.0 (Round to five decimal places as atable tr te vales of Х,, yl, y(x).and y, _ y(x)for the furetion given below, for 0sxs1. wth h . 0.2 dy 0.2 0.4 0.6 0.8 1.0 (Round to five decimal places as
he position of a mass-on-a-spring oscillator is given by y = A sin(15t), where the value of t is in seconds and A = 0.34 m. (a) What is the maximum kinetic energy of an oscillator of mass 2.2 kg? J (b) Suppose the amplitude is increased so that the maximum kinetic energy is doubled. What is the new value of A? m 2) A guitar string of diameter 0.6 mm and length 0.69 m is subject to a tension...
distance (meters) 2 1 time (seconds) 0.2 0.4 0.6 0.8 Data from R. B. Huey and P. E. Hertz, "Effects of Body Size and Slope on the Acceleration of a Lizard," J. Exp. Biol, Volume 110, 1984, p. 113-123 (a) If the lizard were running faster and faster, what would be the concavity of the graph? Does this match what you see? The graph looks If the lizard were running faster and faster, the graph would be UNK то TEXT...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 08 0.6 0.4 02 position (m) 0 -02 5 -0.6 -0.8 1 time (s) a) What is the frequency? b) What is the amplitude? c) What is the angular frequency? d) What is the mass being...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 1 position (m) 0.8 0.6 04 02 0 -0.2 5 -0.4 -0.8 times) a) What is the frequency? (1 point) b) What is the amplitude? (1 point) c) What is the angular frequency? (1 points) d)...
Using Lagrange's interpolation formula find y(0.25) from the following table: x 0.2 0.4 0.6 0.8 y0.12 0.48 0.12 Write 3-decimal plates
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...