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 .

Expert Solution

genius_generous answered 2 years ago

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.

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.

The position of a particle in cm is given by x = (3) cos 9?t, where...

The position of a particle in cm is given by x = (3) cos 9?t, where t is in seconds.

The position of a particle moving along the x-axis is given by x(t) = t^3 +...

The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle. (b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.) (c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.) When is the particle moving to the right (velocity is positive)? (Enter your...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the average velocity for the time interval from 1.00 s to 3.00 s. (b) Find the instantaneous velocity at t = 1.00 s. (c) Find the average acceleration from 1.00 s to 3.00 s. (d) Find the instantaneous acceleration at t = 1.00 s.

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...

Let G(x,t) be the Green's function satisfying G"(x,t) + G(x,t) = δ(x-t) with G(0,t) =...

Let G(x,t) be the Green's function satisfying G"(x,t) + G(x,t) = δ(x-t) with G(0,t) = 0 and G(pi/2) = 0, and the neccessary continuity conditions. Here t is fixed, 0 < t < pi/2; the derivative means differentiation with respect to x, 0 < x < pi/2 Fill in the blanck: G(x,t)= when 0<x<t when t<x<pi/2

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j...

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the momentum of the particle at time t = 1.00 s. (b) Find the angular momentum about the origin at time t = 3.00 s.

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j...

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the momentum of the particle at time t = 1.00 s. (b) Find the angular momentum about the origin at time t = 3.00 s.

The period T of a simple pendulum is given by T=2π√L/g where L is the length...

The period T of a simple pendulum is given by T=2π√L/g where L is the length of the pendulum and g is the acceleration due to gravity. Assume that g = 9.80 m/s^2 exactly, and that L, in meters, is lognormal with parameters μL = 0.6 and σ^2L=0.05. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the mean of T. Find the median of T. Find the...

Question

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

Solutions

Expert Solution

Related Solutions

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

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

The position of a particle in cm is given by x = (3) cos 9?t, where...

The position of a particle moving along the x-axis is given by x(t) = t^3 +...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...

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

Let G(x,t) be the Green's function satisfying G"(x,t) + G(x,t) = δ(x-t) with G(0,t) =...

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j...

A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j...

The period T of a simple pendulum is given by T=2π√L/g where L is the length...