For the spring-mass system shown below with the mass sliding on a frictionless floor, A = 1.0 m, the spring constant k = 2.0 N/m, and the mass m = 2.0 kg. The period of oscillation T is
For the spring-mass system shown below with the mass sliding on a frictionless floor, A =...
(a) Find the period of oscillation for a spring-mass system where the spring constant (k) is 24 N/m and the mass (m) is 6 kg. (b) Write an equation for x(t) if the spring is stretched to an amplitude of 10 cm from its equilibrium position x = 0 at t = 0. (c) Write an equation for the following initial conditions: at t = 0, the mass is at x = 0 and has a velocity of +3 cm/s.
As shown in the figure below, a box of mass m = 6.80 kg is sliding across a horizontal frictionless surface with an initial speed v1= 2.90 m/s when it encounters a spring of constant k = 2700 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc of the spring.
A 2.0 kg mass sits on top of a vertical spring that has a spring constant k=100 N/m. A second 2.0 kg mass is dropped from rest starting 1.0 m above the first mass. The dropped mass sticks to the first mass (Velcro) and the masses begin to bounce up and down on the spring. What is the period of the oscillation? What is the amplitude of the oscillation? How much time elapses between the time the masses collide and...
A 0.81-kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing, x (m) 0.10 --- 04 16.0 -0.10 - - - - - - Determine the following. (a) amplitude A of the motion (b) angular...
A 1.5 kg mass is placed on a frictionless surface and attached to a spring with a spring constant of 5.1 N/m. The spring is stretched and released, so that the amplitude of oscillation is 2.0 cm. What is the velocity of the mass when it is 0.010 m from its equilibrium point?
A mass and spring are arranged on a horizontal, frictionless table as shown in the figure below. The spring constant is k = 545 N/m, and the mass is 4.0 kg. The block is pushed against the spring so that the spring is compressed an amount 0.31 m, and then it is released. Find the velocity of the mass when it leaves the spring. m/s
A 0.40-kg mass is attached to a spring with a force constant of k = 207 N/m, and the mass–spring system is set into oscillation with an amplitude of A = 2.0 cm. Determine the following. (a) mechanical energy of the system _____ J (b) maximum speed of the oscillating mass _____ m/s (c) magnitude of the maximum acceleration of the oscillating mass _____ m/s2 A 0.40-kg mass is attached to a spring with a force constant of k =...
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?...
A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.33 kg and a spring constant k = 170 N/m. At time t=1.51 s, the position and velocity of the block are x = 0.11 m and v = 3.164 m/s. What is the velocity of the oscillation at t=0? Be sure to include the minus sign for negative velocity.
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...