Physics Waves And Oscillations Level: High School
Simple Harmonic Motion
A block of mass m is attached to a spring whose spring constant is k . The other end of the spring is fixed so that when the spring is unstretched , the mass is located at x = 0 . Assume that the +x direction is to the right . The mass is now pulled to the right a distance beyond the equilibrium position and released , at time t = 0 , with zero initial velocity .A) At what time t1 does the block come back to its original position for the first time ?
B) Find the velocity v of the block as a function of time .
C)
D) Find the acceleration a of the block as a function of time .
E) Specify when the magnitude of the acceleration of the block reaches its maximum value .
F) Find the kinetic energy K of the block as a function of time .
G) Find K max , the maximum kinetic energy of the block
H) The kinetic energy of the block reaches its maximum when which of the following occurs ?
a) The displacement of the block is zero .
b) The displacement of the block is A
c) The acceleration of the block is at a maximum
d) The velocity of the block is zero .
