NNNNNN V = 100 m/s 5 kg 10 g K= 500 N/m Ymax = ? NNNNN 5 kg 10 g K= 500 N/m
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In the diagram below. Determine the maximum amplitude of


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- Why is Logger Pro set up to report the time between every other blocking of the Photogate? Why not the time between every block? Using either Graphical Analysis or graph paper, plot a graph of pendulum period vs. amplitude in degrees. Scale each axis from the origin (0,0). Does the period depend on amplitude? Explain. Using either Graphical Analysis or graph paper, plot a graph of pendulum period T vs. lengthl. Scale each axis from the origin (0,0). Does the period appear to depend on length? Using either Graphical Analysis or graph paper, plot the pendulum period vs. mass. Scale each axis from the origin (0,0). Does the period appear to depend on mass? Do you have enough data to answer conclusively? To examine more carefully how the period T depends on the pendulum length l, create the following two additional graphs of the same data: T 2 vs. l and T vs. l2 . Of the three period-length graphs, which is closest to a direct proportion; that is, which plot is most nearly a straight line…Problem 3: The motion of critically damped and overdamped oscillator systems is hardly "oscillatory". (a) To illustrate this, prove that a critically damped oscillator passes through the originx = 0 at most once, and determine the relationship between the initial conditions To and vo that is required for the oscillator to pass through the origin. (b) Do the same thing for the overdamped oscillator.A cylindrical disc with a mass of 0.619 kg and radius of 0.575 m, is positioned such that it will oscillate as a physical pendulum as shown below. If the period of the small angle oscillations is to be 0.343 s, at what distance from the center of the disc should the axis of rotation be fixed? Assume that the position of the fixed axis is on the actual disc. The moment of inertia of a disc about its center is 1 = 0.5 M R²...Hint: Use the parallel axis theorem.
- A small block with mass m slides along a frictionless horizontal surface with a speed v = with and sticks to the end of a uniform rod (mass M = m, length L = 0.75 m) that can rotate around a frictionless axle through its upper end as shown. :0.4 m/s. It collides %3D a) Use Newton's 2nd law to find the angular frequency w of small angle oscillations for the combined system. b) What is the amplitude (maximum displacement 0max) from the vertical, expressed in degrees?Consider a block of mass m attached to a spring with force constant k, as shown in the figure(Figure 1). The spring can be either stretched or compressed. The block slides on a frictionless horizontal surface, as shown. When the spring is relaxed, the block is located at x=0. If the block is pulled to the right a distance A and then released, A will be the amplitude of the resulting oscillations. Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block. Part A After the block is released from x=A, it will? Part B If the period is doubled, the frequency is? Part C An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s. What is its frequency f? Part D If the frequency is 40 Hz, what is the period T ? Part E Which points on the x axis are located a distance A from the equilibrium position? Part F Suppose that the period is T. Which of the following points on the t axis are separated by the time…The quantities A and p (called the amplitude and the phase) are undetermined by the differential equation. They are determined by initial conditions -- specifically, the initial position and the initial velocity -- usually at t = 0, but sometimes at another time. In the oscillating part of the experiment, I measured only the time of 30 periods. I measured no position or velocity. Consequently, A and p (and also yo) are irrelevant in the problem. We only compare the period T or the frequency w with the theoretical prediction. You have (hopefully) derived (or maybe looked up) the relation between w and k and m. This final question relates w and T. If w = 5.8*10° rad/s, calculate T in seconds. (Remember, that a radian equals one.) T might be a fraction of a second.
- Please help me to solve thisA block of mass m = 1.60 kg, initially moving to the right with a velocity of 14.00 m/s on a %3! frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.10 kg moving to the left with a velocity of -2.50 m/s, as shown in the figure below. The spring has a spring constant of 600 N/m. Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s. v=4.00 m/s Va =-2.50 m/sA spring mass system consists of a sping with spring constant k and an attached block of mass m is submerged in a liquid that produces a damping force Fr. m=2kg Fr= 18 times the instaneous velocity of the center of mass of the block k=36 n/m If the mass is initially released from rest 1 meter below equilibrium position a. Give a 2nd degree equation that describe the motion of the center of mass of the attached block b. Solve the equation in part a