Calculating Oscillatory Motion: Mass, Spring Constant, and Displacement

[ktc282]

A block of mass m = 0.900 kg is fastened to an unstrained horizontal spring whose spring constant is k = 94.5 N/m. The block is given a displacement of +0.120 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest.
(a) What is the force (magnitude and direction) that the spring exerts on the block just before the block is released?
N

(b) Find the angular frequency of the resulting oscillary motion.
rad/s

(c) What is the maximum speed of the block?
m/s

(d) Determine the magnitude of the maximum acceleration of the block.
m/s2

 

[dotman]

What are the equations you're looking at using for this?

 

[ktc282]

x=Acos * angular frequency * time
Vmax=A* angular frequency

 

[dotman]

Here's one to start with, and should spring* to mind anytime you see a problem with a spring-- Hooke's Law:

F = -kx

relating the restoring force imparted by the spring on an object displaced from equilibrium.

*sorry, I simply couldn't resist the pun :-)