Question

In: Physics

1. Determine the phase constant ? (??????) in x=Acos(?t+?) if, at t=0, the oscillating mass is...

1.

Determine the phase constant ? (??????) in x=Acos(?t+?) if, at t=0, the oscillating mass is at:

A) x= -A

B)x= 0

C) x= A

D) x= (1/2)A

E) x= (-1/2)A

F) x= A/sqrt2

Express your answer in terms of the appropriate constants. If there is more than one answer, separate them by a comma.

Solutions

Expert Solution

x = A cos(t + )

when t=0 ,  x = A cos( x 0 + ) =  A cos()

A): -A = Acos() , cos() = -1 , = - ,

B): cos() = 0 , = /2 , -/2

C): A = Acos() , cos() = 1 , = 0

D):  A/2 = Acos() , cos() = 1/2 , = /3 ,  -/3

E):  -A/2 = Acos() , cos() = -1/2 , = -2/3 , 2/3

F): A/2 = Acos() , cos() = 1/2 = / 4 , - / 4


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