Answered: A 7 kg weight is attached to a spring… | bartleby

Related questions

Question

A7 kg weight is attached to a spring with constant k = 112 kg/m and subjected to an external force
F(t) = 420 sin(2t). The weight is initially displaced 2 meters above equilibrium and given an
upward velocity of 4 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.
y(t)

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

The displacement of an oscillating mass is given by x(t) = 30 cos( 4 t ).At time t = 0.5π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)
A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = n/12, n/8, n/6, a/4, and 97/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) X(1/12) = -0.33 X ft x(x/8) = -0.66 X ft x(л/6) %3 -0.33 X ft x(T/4) = 0.66 X ft x(9x/32) = 0.47 X ft (b) What is the velocity of the mass when t = 37/16 s? 16 ft/s 3 In which direction is the mass heading at this instant? upward downward (c) At what times does the mass pass through the equilibrium position? 16 4 X , n = 0, 1, 2, +
11.7 The motion of a particle is defined by the relation x = - 6- 36t – 40, where x and t are expressed in feet and seconds, respec- tively. Determine (a) when the velocity is zero, (b) the velocity, the acceleration, and the total distance traveled when x = 0. 11.8 The motion of a particle is defined by the relation x = - 9 + 24t - 8, where r and t are expressed in inches and seconds, respectively. Determine (a) when the velocity is zero, (b) the posi- tion and the total distance traveled when the acceleration is zero. 11.9 The acceleration of a particle is defined by the relation a = -8 m/s. Knowing that x = 20 m when t = 4 s and that r = 4 m when v = 16 m/s, determine (a) the time when the velocity is zero, (b) the velocity and the total distance traveled when t = il s.
A mass weighting 32 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 38 lbs when the mass has a velocity of 4 ft/sec. Suppose the object is displaced an additional 6 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
A 16 kg weight is attached to a spring with constant k = 144 kg/m and subjected to an external force F(t) = 160 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) =