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.

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

genius_generous answered 3 years ago

The position of a 55 g oscillating mass is given by x(t)=(2.3cm)cos13t, where t is in...

The position of a 55 g oscillating mass is given by x(t)=(2.3cm)cos13t, where t is in seconds. Determine the amplitude. Determine the period. Determine the spring constant. Determine the maximum speed. Determine the total energy. Determine the velocity at t = 0.41 s .

The position of a 50 g oscillating mass is given by x(t)=(2.0cm)cos(10t−π/4), where t is in...

The position of a 50 g oscillating mass is given by x(t)=(2.0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine: amplitude= 2cm period= 0.628s spring constant =5 N/m phase constant= -0.785 rad find initial coordinate of the mass and the initial velocity.

Please solve the following: ut=uxx, 0<x<1, t>0 u(0,t)=0, u(1,t)=A, t>0 u(x,0)=cosx, 0<x<1

An object on a single oscillating string may be modelled by differential equation x"(t)=-x(t) x(t) is...

An object on a single oscillating string may be modelled by differential equation x"(t)=-x(t) x(t) is the signed length of the string at time t. a) the trivial solution x(t) =0 satisfies the differential equation. describe what physical scenario this solution represents. b) find at least three other solutions to the differential equation c) describe what it means for this differential equation to have multiple solutions. what do the solutions represent. d) suppose a string is damped by friction. propose...

x"(t)- 4x'(t)+4x(t)=4e^2t ; x(0)= -1, x'(0)= -4

Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 ,...

Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 , y'(0)=1

Solve the Boundary Value Problem, PDE: Utt-a2uxx=0, 0≤x≤1, 0≤t<∞ BCs: u(0,t)=0 u(1,t)=cos(t) u(x,0)=0 ut(x,0)=0

utility function u(x,y;t )= (x-t)ay1-a x>=t, t>0, 0<a<1 u(x,y;t )=0 when x<t does income consumption curve...

utility function u(x,y;t )= (x-t)ay1-a x>=t, t>0, 0<a<1 u(x,y;t )=0 when x<t does income consumption curve is y=[(1-a)(x-t)px]/apy ?(my result, i used lagrange, not sure about it) how to draw the income consumption curve?

Solve the following differential equations: 1.) y"(x)+ y(x)=4e^x ; y(0)=0, y'(0)=0 2.) x"(t)+3x'(t)+2x(t)=4t^2 ; x(0)=0, x'(0)=0

The equation y(x,t)=Acos2πf(xv−t) may be written as y(x,t)=Acos[2πλ(x−vt)]. Use the last expression for y(x,t) to find...

The equation y(x,t)=Acos2πf(xv−t) may be written as y(x,t)=Acos[2πλ(x−vt)]. Use the last expression for y(x,t) to find an expression for the transverse velocity vy of a particle in the string on which the wave travels. Express your answer in terms of the variables A, v, λ, x, t, and appropriate constants. Find the maximum speed of a particle of the string. Express your answer in terms of the variables A, v, λ, x, t, and appropriate constants.