A block of mass M=2 kg is attached to a spring of unknown spring constant κ. The system is placed vertically under the a
Posted: Mon May 16, 2022 7:37 pm
A block of mass M=2 kg is attached to a spring of unknown spring
constant κ. The system is placed vertically under the action of
gravity, and the spring is observed to stretch a length until the
block is in equilibrium. The block begins to oscillate around the
equilibrium position and it is observed that at the initial time
t=0s its position with respect to the equilibrium point is y=−0.02m
with speed v=−1.0 m/s.
a) Calculate the spring constant of the spring.
b) Obtain the maximum amplitude of oscillation and the phase of
the movement.
c) Find the position as a function of time and indicate the
maximum velocity and acceleration.
d) Calculate the mechanical energy of the system.
constant κ. The system is placed vertically under the action of
gravity, and the spring is observed to stretch a length until the
block is in equilibrium. The block begins to oscillate around the
equilibrium position and it is observed that at the initial time
t=0s its position with respect to the equilibrium point is y=−0.02m
with speed v=−1.0 m/s.
a) Calculate the spring constant of the spring.
b) Obtain the maximum amplitude of oscillation and the phase of
the movement.
c) Find the position as a function of time and indicate the
maximum velocity and acceleration.
d) Calculate the mechanical energy of the system.