the position of a mass that is oscillating on a spring is given by x = (0.20m) cos [(5.00s^-1)t]. what is the period of the motion? what is the amplitude of the motion? what is the spring constant? what is the total mechanical energy of the system?
Compare the given equation with the genarl equation shm.
So Amplitude=0.2 m
f=5/s
So w=2 pie/f =2*3.14/5=1.256 rad/s
k=m*w^2=m81.256*1.256
=1.577 m where m is the mass of the body attached with spring.
Total energy = 0.5*k*x^2 at the amplitude
0.5*k*0.2*0.2 Joules.
the position of a mass that is oscillating on a spring is given by x =...
The position of a 53 g oscillating mass is given by x(t)=(1.7cm)cos12t, 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 .45s
A. The position of a 45 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. B. Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? C. What is the total energy E of the mass described in the previous parts?
The position of a mass oscillating on a spring is given by x=(5.4cm)cos[2πt/(0.62s)]. A. What is the frequency of this motion? B. When is the mass first at the position x=−5.4cm ?
The position of a mass (350 g) attached to an oscillating spring is given by: x = 22.5 cm cos((7.84 rad/s) t) Find total energy of the mass. Determine the potential energy when the mass is located 5.3 cm from equilibrium. What is the velocity of the mass at the location in part B? Find the location of the mass when the velocity is one-third of its maximum value.
A mass is attached to a spring & is oscillating up & down. The position of the oscillating mass is given by... y=(3.2 cm)*Cos[2*3.14*t/(0.58 sec)]; where t is time. Determine (a) the period of this motion; (b) the first time the mass is at position y=0. Please show all work.
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of spring constant k. Answer the following questions.1. Which of the following graphs is the correct velocity-time graph of the oscillation?2. Which of the following graphs is the correct acceleration-time graph of the oscillation?3. If the mass of the object is m = 0.500 kg, what is the spring constant k of the ideal spring?Hint: read o the period of...
The position of a mass oscillating on a spring is given by x = (7.0cm) cos (21t/ (0.50s)]. You may want to review (Pages 421 - 424). Part A What is the frequency of this motion? Express your answer using two significant figures. V AE O 2 ? Submit Request Answer Part B When is the mass first at the position x = -7.0cm ? Express your answer using two significant figures. VO ALQ R O 2 ? Submit Request...
Part A: The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. Part C: What is the total energy E...
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5 kg. x (cm) 20 10 0 -10 -20 I(s) 4 a. Determine the period of the motion. b. Determnine the angular frecquemcy of the motion c. Determine the amplitude of the motion. d. Determine the phase constant of the motion. e. Determine the maximum speed of the mass. f. Determine the maximum acceleration of the mass. g. Determine the total energy of the system....