The following statement is for all the problems on this page A 1Kg block connect
ID: 1573671 • Letter: T
Question
The following statement is for all the problems on this page A 1Kg block connected to a light spring for which the force constant is 1N/m, is free to oscillate on a frictionless horizontal surface. The block is displaced 1m from equilibrium and released from rest. Must show work for credit. 7. Find the period of the motion of the 1Kg block. Must show work for credit. 8. Determine maximum speed of the 1Kg block. Must show work for credit. 9. Determine the maximum acceleration of the 1Kg block. Must show work for credit. 10. Write the position x, velocity v, and acceleration a as a function of time for the 1 Kg block Must show work for credit.Explanation / Answer
k = 1 N/m
m = 1 kg
A = 1 m
7. T = 2 pi sqrt(m / k) = 6.28 sec
8. v_max = A w = 6.28 m/s
9. a_max = A w^2 = 6.28 m/s^2
10. x = 1m cos(2 pi / T t )
x = 1m cos( t )
v = dx/dt = -1 sin(t)
a = dv/dt = - 1 cos(t)