Find the solution of the following simple harmonic motion: . A 24-lb weight stretches a spring...

Find the solution of the following simple harmonic motion: . A 24-lb weight stretches a spring 8 ft. Initially the weight released from 2ft above equilibrium position with upward velocity 2 ft/sec. Find the equation of motion x(t).

Expert Solution

milcah answered 2 years ago

Find the solution of the following simple harmonic motion: A 4-lb weight stretches a spring 8...

Find the solution of the following simple harmonic motion: A 4-lb weight stretches a spring 8 ft. Initially the weight released from 3ft below equilibrium position with downward velocity 2 ft/sec. Find the equation of motion x(t),

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the...

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the equation of motion if the spring constant is 28lb/ft and if the weight is released 2 feet below the equilibrium, with a downward velocity of 64ft/sec. b) Find the maximum distance away in feet from the equilibrum.

A 16-lb weight stretches a spring 16 ft. The spring-mass system is in a medium with...

A 16-lb weight stretches a spring 16 ft. The spring-mass system is in a medium with a damping constant of 1.5 lb-sec/ft, and an external force given by f (t)= 3+e^-3t (in pounds) is being applied. What is the solution function describing the position of the mass at any time of the mass is released from 1ft below the equilibrium position with an initial velocity of 2 ft/sec downward?

2. A 6-lb weight is attached to a vertically suspended spring that it stretches 4 in....

2. A 6-lb weight is attached to a vertically suspended spring that it stretches 4 in. and to adashpot that provides 1.5 lb of resistance for every foot per second of velocity.(a) If the weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t = 0, find its position function .(b) Find the frequency, time-varying amplitude, and phase angle of the motion.(Give exact answers for both parts.

An object attached to a spring vibrates with simple harmonic motion as described by the figure...

An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. (d) For this motion, find the maximum speed (e) For this motion, find the maximum acceleration. (f) For this motion, find an equation for its position x in terms of a sine function.

A 323 g object is attached to a spring and executes simple harmonic motion with a...

A 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of the system is 6.70 J. (a) Find the maximum speed of the object. m/s (b) Find the force constant of the spring. N/m (c) Find the amplitude of the motion. mA 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of...

Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion...

Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion and its concepts are in min 300 words? (In word text, no pictures) b) What is the Aim of The helical spring in simple harmonic motion experiment where in oscillations of 30 how long it takes or the time it takes for each set of weights is measured?(min 100 words)

A mass on a spring undergoes simple harmonic motion. At t = 0 its displacement is...

A mass on a spring undergoes simple harmonic motion. At t = 0 its displacement is 1m and its velocity is 1m/s towards the equilibrium position. What single piece of information allows you to determine frequency and amplitude? A. mass B. spring constant (k) C. kinetic energy at t = 0 D. acceleration at t = 0 E. force at t = 0

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring...

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest. m = 2 kg , k = 2 N/m m = 2 kg , k = 4 N/m m = 4 kg , k = 2 N/m m = 1 kg , k = 4 N/m

A spring-mass system undergoes simple harmonic motion. Which of the following statements are True/False? The kinetic...

A spring-mass system undergoes simple harmonic motion. Which of the following statements are True/False? The kinetic energy is maximum at the point of zero displacement. (True or False) The potential energy is maximum at the point of maximum displacement. (True or False) The force exerted by the spring is zero at the point of maximum displacement. (True or False ) The acceleration is greatest at the point of zero displacement. (True or False ) If the amplitude of the oscillations...

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