4. (25 points) In a famous Physics 218 experiment it was discovered that a real spring...
SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 38.6x3+40.6x (a) Compute the work required to stretch the spring from x=0.8 m to x=2.3 m (b) With one end of the spring fixed, a particle of mass 2.2 kg is attached to the other end of the spring when it is stretched by an amount x -2.3 m If...
A 0.64 kg mass is attached to a light
spring with a force constant of 23.9 N/m and set into oscillation
on a horizontal frictionless surface. If the spring is stretched
5.0 cm and released from rest, determine the following.
(a) maximum speed of the oscillating mass
_____ m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
_____ m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...
me are modeled by the differential equation, 1) (0) Recall that spring mass systems are mos ky FD A force of 180 newtons stretches a spring constant of 360N A mass of so kilograms spring and is initially released from resta equilibrium point. The motion is undamped es a spring 0.5 meters, which gives a spring 0 kilograms is attached to the end of the od from rest at a point 0.25 meters above the undamped Set up an initial...
Question 11 1 pts A mass is suspended vertically from a spring so it is at rest at the equilibrium position. The mass is pulled straight down to an extension x and released so that it oscillates about the equilibrium position. The elastic potential energy of the mass is zero when the mass is at its maximum upward travel at the equilibrium point at its maximum lower travel
A 0.84 kq mass is attached to a light spring with a force constant of 34.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.76 kg mass is attached to a light spring with a force constant of 27.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.56 kg mass is attached to a light spring with a force constant of 33.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A spring stress 0.150 m when a 0.300 kg mass is gently suspended from it as fig below. The spring is then set up horizontally with 0.300 kg mass resting on a frictionless table. The mass is pulled so that the spring is stretched 0.100 m from the equilibrium point, and released from rest. Determine: a) the spring stiffness constant K; b) the amplitude of the horizontal oscillation A; c) the magnitude of the maximum velocity Vmax? d) the magnitude...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
A 0.28 kg mass is attached to a light spring with a force constant of 34.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...