4. A 2.2-kg object is suspended from a spring with k 18 N/m. The mass is...
A 3.72-kg iron box is suspended from a spring with a spring constant of k = 18 N/m. The mass is pulled 0.35 m downward from its equilibrium position and allowed to oscillate. What will the angular velocity be for this iron box? With what period will the iron box oscillate?
A 1.2 kg object on a vertical spring with k+ 500 N/m is compressed from its equilibrium position. Once it is released, the mass is seen to have a velocity of 1.4 m/s at a position of 0.1 m from the equilibrium. a.) Determine the equation for this oscillation. b.) What is the maximum speed? c.) What is the maximum acceleration? d.) At what position from the equilibrium does the potential energy equal the kinetic energy?
A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object of mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m −1 s β N m−1 s . Let y(t) y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t...
An object of mass 7.5 kg is attached to a spring constant 2.5 N/m. Starting from its maximum displacement at rest, the object undergoes simple harmonic oscillations of amplitude 53 cm. after 4.5 s have passed, determine: A) the objects position x=-0.45 m B) the objects velocity v= -0.16 m/s C) the objects acceleration a= 0.15 m/s2 D) the objects kinetic energy K= 0.095 J E) the potential energy store in the spring U=0.26J F) the total energy in the...
A 0.2 kg object is suspended from a spring with a spring constant of k=10 n/m. The object moves with simple harmonic motion and has an amplitude of 0.08 m . What is the potential energy of the system when the object displacement is 0.08 m ?
A 2-kg object is suspended at rest from a vertical spring (K=196 N/m) attached to the ceiling. From this equilibrium position, the object is pulled down an additional distance d=3 cm and released from rest. a) Considering the upward direction to be positive, find the amplitude, frequency and phase constant of the simple harmonic motion and write the equation of the motion. b) find the speed of the object at the moment when it is 3 cm above the release...
A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object of mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m −1 s β N m−1 s . Let y(t) y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t...
A 1.1-kg object is suspended from a vertical spring whose spring constant is 170 N/m. (a) Find the amount by which the spring is stretched from its unstrained length. (b) The object is then pulled straight down by an additional distance of 0.10 m and released from rest. Find the speed with which the object passes through its original position on the way up.
A 1.1-kg object is suspended from a vertical spring whose spring constant is 190 N/m. (a) Find the amount by which the spring is stretched from its unstrained length. (b) The object is then pulled straight down by an additional distance of 0.22 m and released from rest. Find the speed with which the object passes through its original position on the way up.
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg and stretched horizontally to a position 15.0 cm from the springs equilibrium position. The spring and mass are released and oscillate in simple harmonic motion across a frictionless horizontal surface. What is the maximum speed obtained by the mass? m/s