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23 Nov 2019
A 380 g block connected to a light spring for which the forceconstant is 8.90 N/m is free to oscillate on a horizontal,frictionless surface. The block is displaced 5.30 cm fromequilibrium and released from rest as in the figure.
(a) Express the position, velocity, and acceleration as functionsof time.
Find the phase constant from the initial condition that x = A at t= 0:
x(0) = A cosÏ = A --> Ï = 0
Use the equation to write an expression for x(t):
x = Acos(Ït + Ï) = ?
Use the equation to write an expression for v(t):
v = -ÏAsin(Ït + Ï) = ?
Use the equation to write an expression for a(t):
a = -Ï^2 Acos(Ït + Ï) = ?
A 380 g block connected to a light spring for which the forceconstant is 8.90 N/m is free to oscillate on a horizontal,frictionless surface. The block is displaced 5.30 cm fromequilibrium and released from rest as in the figure.
(a) Express the position, velocity, and acceleration as functionsof time.
Find the phase constant from the initial condition that x = A at t= 0:
x(0) = A cosÏ = A --> Ï = 0
Use the equation to write an expression for x(t):
x = Acos(Ït + Ï) = ?
Use the equation to write an expression for v(t):
v = -ÏAsin(Ït + Ï) = ?
Use the equation to write an expression for a(t):
a = -Ï^2 Acos(Ït + Ï) = ?
Casey DurganLv2
8 Sep 2019
