A mass of 1.32 kg is connected to a spring of spring constant 8.81 N/m . An oscillation is started by pulling the mass to the right to amplitude 0.582m before release and the oscillator moves in air. The oscillation decays to 18.2% of the original amplitude in 58.2 seconds.
the damping constant of the oscillation is 7.73*10^-2 kg/s
total energy has the system lost in this time due to air damping = 1.44 j
the amplitude of the oscillation be 25.29 seconds after release is 0.278
What would the position of the oscillation be 25.29 seconds after release?
The position of the oscillator after 25.29 sec after release is
x(t) = A cos (wt + )
A = amplitude after 25.29 sec = 0.278
A mass of 1.32 kg is connected to a spring of spring constant 8.81 N/m ....
A spring oscillator is designed with a mass of 0.193 kg. It operates while immersed in a damping fluid, selected so that the oscillation amplitude will decrease to 1.00% of its initial value in 9.35 s. Find the required damping constant for the system.
A spring oscillator is designed with a mass of 0.1480.148 kg. It operates while immersed in a damping fluid, selected so that the oscillation amplitude will decrease to 1.00% of its initial value in 5.845.84 s. Find the required damping constant for the system.
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
5. A 2 kg mass connected to a spring with spring constant k = 10 N/m oscillates in simple harmonic motion with an amplitude of A = 0.1 m. What is the kinetic energy of the mass when its position is at x = 0.05 m?
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
Part A) A 5 kg mass is connected to a massless spring with force constant 200 N/m and rests on a frictionless horizontal table. The other end of the spring in anchored to the table. A driving force with a maximum amplitude of 10 N and a period of 1 s is applied to the mass. What is amplitude of the oscillation? Part B) A transverse wave on a string has a period of 0.1 s and an amplitude of...
A mass M is connected to a spring with spring constant k on either side, on a frictionless surface. The mass is initially held a distance X from equilibrium before it is released from rest and allowed to oscillate. If the maximum speed of the mass during oscillation is VmaxVmax=10.6msms, and the initial displacement X=3.7m, what is the period of oscillation? Answer in seconds.
8. + 0.5/1 points Previous Answers OSUniPhys1 15.5.WA.046. My Note A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.50 x 10 N/m and the mass at the end of the spring is 15.0 kg. (a) If the damping coefficient is b = 4.50 N. s/m, what is the frequency of the oscillator? 6.498 ✓ Hz (b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles. 316 x What is...
A mass of 0.57 kg is attached to a spring with spring constant 86N/m. The mass is sliding on a horizontal surface with friction. The oscillation has an initial amplitude of 0.74m. After sliding back and forth for a total distance of 2.6m, the block is observed to have a speed of 7.4m/s as it passes through the rest length of the spring. What is the coefficient of kinetic friction for the block sliding on the surface?