In Concept Simulation 10.3 you can explore the concepts that are important in th
ID: 1502608 • Letter: I
Question
In Concept Simulation 10.3 you can explore the concepts that are important in the problem A block of mass m = 0.535 kg n fastened to an unstrained horizontal spring whose spring constant Is A - 97.7 N/m. The Nock is given a displacement of +0.163 m, where the + sign indicates that the displacement is along the + x axis, and then released from rest, (a) What is the force (with sign) that the spring exerts on the Mock just before the block is released? (b) Find the angular frequency the resulting oscillatory motion, (c) What is the maximum speed of the block (d) [determine the magnitude of the maximum acceleration of the block.Explanation / Answer
a) F=-kx (where k= 97.7 N/m, x=0.163m) since F will act in opposite direction, we put negative sign.
F=-15.925 N
b) angular frequency= (k/m)^0.5
= (97.7/0.535)^0.5= 9.089 rad/sec
c) max. velocity= displacement*angular frequency = 0.163* 9.089= 1.481 m/s
d) max. acceleration= displacement*(angular frequency )^2= 13.46 m/s^2